.madrigal-solver{position:relative;z-index:1;--ms-fam-a: var(--mad-tint-a, rgb(255 255 255 / .1));--ms-fam-b: var(--mad-tint-b, rgb(91 194 231 / .13));--ms-shade-ink: rgb(255 255 255 / .22);container-type:inline-size;margin:var(--step-7) 0;font-family:var(--font-body);color:var(--ink-2);-webkit-tap-highlight-color:transparent}.madrigal-solver[data-madrigal-solver]{width:auto;min-width:0;max-width:none;padding:0;margin-block:var(--step-7)}@media(max-width:767px){.madrigal-solver[data-madrigal-solver]{margin-inline:calc(50% - 50vw + 12px)}}@media(min-width:768px){.madrigal-solver[data-madrigal-solver]{margin-inline:min(0px,(100% - min(100vw - 3rem,52rem)) / 2)}}@media(min-width:1025px){.madrigal-solver[data-madrigal-solver]{margin-inline:0 calc(-1*max(0px,min(22rem,50vw - var(--rail, 72px) / 2 - 50% - 2rem)))}.madrigal-solver[data-madrigal-solver] figcaption,.madrigal-solver .ms-static{max-width:var(--measure);margin-inline:0}}.madrigal-solver .ms-panel :where(p),.madrigal-solver .ms-panel :is(.ms-status,.ms-hint){text-align:inherit;text-align-last:inherit;hyphens:none}.madrigal-solver [hidden]{display:none!important}html:not(.js) .madrigal-solver>.ms-app{display:none}html.js .madrigal-solver:not(.is-live)>.ms-app{visibility:hidden}html.js .madrigal-solver:not(.is-live)>.ms-static{position:absolute;inset:0 0 auto}.madrigal-solver [inert]{visibility:hidden}.madrigal-solver figcaption{max-width:var(--measure);margin:var(--step-5) auto 0;font-size:var(--caption-size);color:var(--ink-3);text-wrap:pretty}.madrigal-solver .ms-static-board{display:block;width:min(100%,26rem);height:auto;margin-inline:auto;overflow:visible;font-family:var(--mad-digits);font-variant-numeric:lining-nums tabular-nums}.madrigal-solver .ms-static-rules{max-width:var(--measure);margin:var(--step-5) auto 0;font-size:var(--caption-size);color:var(--ink-3)}.madrigal-solver .ms-static-rules p{margin:0 0 var(--step-2);text-align:left;text-align-last:left;hyphens:none}.madrigal-solver .ms-lines{fill:none;stroke:var(--mad-line);stroke-width:1px;vector-effect:non-scaling-stroke}.madrigal-solver .ms-frame{fill:none;stroke:var(--rule-strong);stroke-width:1px;vector-effect:non-scaling-stroke}.madrigal-solver .ms-cage{fill:none;stroke:var(--ink-3);stroke-width:1px;stroke-dasharray:3 2.5;vector-effect:non-scaling-stroke}.madrigal-solver .ms-cage-text{fill:var(--ink-2);font-size:.27px}.madrigal-solver .ms-app{--cell: 33px;--box-cell: calc(var(--cell) * 11 / 3);--board: calc(var(--cell) * 11);--btn-h: 36px;--ms-gap: var(--step-6);touch-action:manipulation}.madrigal-solver .ms-stages{position:relative;display:grid;margin-bottom:var(--step-5)}.madrigal-solver .ms-tabset{grid-area:1 / 1;display:flex;align-items:center;justify-content:center;gap:var(--step-3)}.madrigal-solver .ms-clock{position:absolute;inset-block:0;left:0;display:flex;align-items:center;margin:0;font-size:1rem;line-height:1;color:var(--ink-3);font-variant-numeric:lining-nums tabular-nums;white-space:nowrap;pointer-events:none}.madrigal-solver .ms-modes{display:grid;grid-auto-flow:column;grid-auto-columns:1fr;width:max-content;margin:0 auto var(--step-2)}.madrigal-solver .ms-btn.ms-mode{position:relative;border-radius:2px 0 0 2px}.madrigal-solver .ms-btn.ms-mode+.ms-mode{margin-left:-1px;border-radius:0 2px 2px 0}.madrigal-solver .ms-btn.ms-mode[aria-pressed=true]{z-index:1;cursor:default}.madrigal-solver .ms-btn.ms-mode:focus-visible{z-index:2}@container (max-width: 599px) or (max-height: 499px){.madrigal-solver .ms-focus .ms-modes{display:none}}.madrigal-solver .ms-pad-tools{grid-column:1 / -1;display:grid;grid-auto-columns:1fr;grid-auto-flow:column;border-top:1px solid var(--rule-strong)}.madrigal-solver .ms-pad-hard .ms-pad-tools .ms-key.ms-key-tool{min-height:44px;border-bottom:0}.madrigal-solver .ms-pad-hard .ms-pad-tools .ms-key:last-child{border-right:0}.madrigal-solver .ms-key-tool{color:var(--ink-2)}.madrigal-solver .ms-key-tool .ms-icon,.madrigal-solver .ms-key-tool svg{display:block;width:20px;height:20px}.madrigal-solver .ms-key-tool svg *{vector-effect:non-scaling-stroke}.madrigal-solver .ms-key-tool[aria-pressed=true]{background:#151515;color:var(--ink-1);box-shadow:inset 0 0 0 1px #ffffff80}.madrigal-solver .ms-board-hard .is-sel{background:#ffffff24}.madrigal-solver .ms-board-hard .is-same{background:#ffffff0b}.madrigal-solver .ms-board-hard .ms-band{fill:url(#ms-hatch-11h)}.madrigal-solver .ms-shade-lines{fill:none;stroke:var(--ms-shade-ink);stroke-width:.026px}.madrigal-solver .ms-shade-dot{fill:var(--ms-shade-ink)}.madrigal-solver .ms-shade-1{fill:url(#ms-shade-11h-1)}.madrigal-solver .ms-shade-2{fill:url(#ms-shade-11h-2)}.madrigal-solver .ms-shade-3{fill:url(#ms-shade-11h-3)}.madrigal-solver .ms-shade-4{fill:url(#ms-shade-11h-4)}.madrigal-solver .ms-board-hard .ms-shade{opacity:var(--ms-slash)}.madrigal-solver .ms-pad-hard[data-tool=shade] .ms-key[data-hdigit]{position:relative;isolation:isolate}.madrigal-solver .ms-pad-hard[data-tool=shade] .ms-key[data-hdigit]:before{--rule-h: repeating-linear-gradient(to bottom, transparent 0 2.5px, var(--ms-shade-ink) 2.5px 3.5px, transparent 3.5px 6px);--rule-v: repeating-linear-gradient(to right, transparent 0 2.5px, var(--ms-shade-ink) 2.5px 3.5px, transparent 3.5px 6px);content:"";position:absolute;z-index:-1;inset:0;width:30px;height:30px;margin:auto}.madrigal-solver .ms-pad-hard[data-tool=shade] .ms-key[aria-disabled=true]:before{opacity:.5}.madrigal-solver .ms-pad-hard[data-tool=shade] .ms-key[data-hdigit="1"]:before{background:var(--rule-h)}.madrigal-solver .ms-pad-hard[data-tool=shade] .ms-key[data-hdigit="2"]:before{background:var(--rule-v)}.madrigal-solver .ms-pad-hard[data-tool=shade] .ms-key[data-hdigit="3"]:before{background:radial-gradient(circle,var(--ms-shade-ink) 0 .9px,transparent 1.3px) 0 0 / 6px 6px}.madrigal-solver .ms-pad-hard[data-tool=shade] .ms-key[data-hdigit="4"]:before{background:var(--rule-h),var(--rule-v)}.madrigal-solver .ms-tab-rule{width:var(--step-6);height:1px;background:var(--rule-strong)}.madrigal-solver .ms-tab{--crop: transparent;position:relative;min-height:max(40px,var(--btn-h));padding:0 .9em;border:0;background:linear-gradient(var(--crop),var(--crop)) left top / 7px 1px no-repeat,linear-gradient(var(--crop),var(--crop)) left top / 1px 7px no-repeat,linear-gradient(var(--crop),var(--crop)) right top / 7px 1px no-repeat,linear-gradient(var(--crop),var(--crop)) right top / 1px 7px no-repeat,linear-gradient(var(--crop),var(--crop)) left bottom / 7px 1px no-repeat,linear-gradient(var(--crop),var(--crop)) left bottom / 1px 7px no-repeat,linear-gradient(var(--crop),var(--crop)) right bottom / 7px 1px no-repeat,linear-gradient(var(--crop),var(--crop)) right bottom / 1px 7px no-repeat;color:var(--ink-3);font-family:var(--font-body);font-size:var(--meta-size);font-variant-caps:small-caps;letter-spacing:var(--meta-tracking);cursor:pointer;touch-action:manipulation;transition:color var(--dur-quick) var(--ease-calm)}.madrigal-solver .ms-tab .ms-num{margin-right:.35em;font-style:italic;font-variant-caps:normal;letter-spacing:0}.madrigal-solver .ms-tab[aria-current=step]{--crop: rgb(255 255 255 / .62);color:var(--ink-1)}.madrigal-solver .ms-tab[aria-disabled=true]{color:var(--ink-4);cursor:not-allowed}.madrigal-solver .ms-lock{position:absolute;top:.55em;right:.05em;width:10px;height:10px;opacity:0;transform:translateY(-2px);transition:opacity var(--duration-normal) var(--ease-out),transform var(--duration-normal) var(--ease-out);pointer-events:none}.madrigal-solver .ms-lock svg{display:block;width:100%;height:100%}.madrigal-solver .ms-tab[aria-disabled=true] .ms-lock{opacity:1;transform:none}.madrigal-solver .ms-deck{display:grid}.madrigal-solver .ms-stage{grid-area:1 / 1;display:flex;flex-direction:column;align-items:center;gap:var(--step-4);min-width:0}.madrigal-solver .ms-figure{display:grid;place-items:center;width:100%;height:var(--board)}.madrigal-solver .ms-panel{display:flex;flex:1;flex-direction:column;align-items:center;gap:var(--step-3);width:100%;max-width:26rem;text-align:center}.madrigal-solver .ms-board{position:relative;width:calc(var(--cell) * var(--n));height:calc(var(--cell) * var(--n));font-family:var(--mad-digits);font-variant-numeric:lining-nums tabular-nums;user-select:none;-webkit-user-select:none;-webkit-touch-callout:none}.madrigal-solver .ms-board-box{--cell: var(--box-cell)}.madrigal-solver .ms-board-grid{touch-action:manipulation}.madrigal-solver .ms-board-hard{touch-action:pan-y}.madrigal-solver .ms-board-grid .is-held,.madrigal-solver .ms-board-grid.is-marking .ms-cell{touch-action:none}.madrigal-solver .ms-under,.madrigal-solver .ms-over{position:absolute;inset:0;width:100%;height:100%;overflow:visible;pointer-events:none}.madrigal-solver .ms-rows{position:relative;display:grid;grid-template-rows:repeat(var(--n),var(--cell))}.madrigal-solver .ms-row{display:grid;grid-template-columns:repeat(var(--n),var(--cell))}.madrigal-solver .ms-cell{position:relative;display:grid;place-items:center;outline:none;cursor:pointer}.madrigal-solver .ms-cell:focus-visible:after{content:"";position:absolute;inset:2px;border:2px solid var(--ink-1);border-radius:1px;pointer-events:none;z-index:3}.madrigal-solver .ms-d{display:grid;place-items:center;width:100%;height:100%;font-size:calc(var(--cell) * .6);line-height:1;color:var(--ink-1);transition:color var(--dur-quick) var(--ease-out),opacity var(--dur-quick) var(--ease-out)}.madrigal-solver .is-ghost .ms-d{color:var(--ink-4)}.madrigal-solver .is-lifted .ms-d{opacity:.3}.madrigal-solver .ms-board-box .is-cursor{background:#ffffff12}.madrigal-solver .ms-nb{position:absolute;inset:9%;display:grid;grid-template-columns:repeat(3,minmax(0,1fr));grid-template-rows:repeat(3,minmax(0,1fr));place-items:center;font-size:max(8px,calc(var(--cell) * .3));line-height:1;color:var(--ink-2);pointer-events:none}.madrigal-solver .ms-nb:empty{display:none}.madrigal-solver .ms-board-box .ms-nb{inset:8%;font-size:calc(var(--cell) * .19);color:var(--ink-3)}.madrigal-solver .ms-board-box .is-dead:before{content:"";position:absolute;top:50%;left:50%;width:calc(var(--cell) * .14);height:1px;background:var(--ink-3);translate:-50% -50%;pointer-events:none}.madrigal-solver .ms-knock{fill:#000}.madrigal-solver .ms-tint{stroke:none}.madrigal-solver .ms-tint.is-resolving{animation:ms-resolve var(--duration-normal) var(--ease-out) both}@keyframes ms-resolve{0%{fill:var(--ms-fam-a)}}.madrigal-solver .ms-empty{fill:#ffffff17}.madrigal-solver .ms-empty-slash{fill:none;stroke:var(--ink-3);stroke-width:1px;vector-effect:non-scaling-stroke}.madrigal-solver .ms-cell.is-pressing:before{content:"";position:absolute;inset:0;background:#ffffff17;pointer-events:none;animation:ms-press .33s linear both}.madrigal-solver .ms-cell.is-pressing-off:before{animation-direction:reverse}@keyframes ms-press{0%{opacity:0}to{opacity:1}}.madrigal-solver .ms-box{fill:none;stroke:var(--mad-line-strong);stroke-width:2px;vector-effect:non-scaling-stroke;transition:stroke var(--dur-noticed) var(--ease-calm)}.madrigal-solver .ms-box.is-selected,.madrigal-solver .is-sealed .ms-box,.madrigal-solver .is-solved .ms-box{stroke:var(--ink-1)}.madrigal-solver .ms-box.is-lifted{stroke:var(--ink-ornament);stroke-dasharray:4 3;stroke-width:1px}.madrigal-solver .ms-ghost{fill:none;stroke:var(--ink-2);stroke-width:1.5px;stroke-dasharray:5 3;vector-effect:non-scaling-stroke}.madrigal-solver .ms-slot-frame{fill:none;stroke:var(--ink-4);stroke-width:1px;stroke-dasharray:3 3;vector-effect:non-scaling-stroke}.madrigal-solver .is-given .ms-d{color:var(--ink-3)}.madrigal-solver .ms-ghost.is-bad{stroke:var(--ink-1);stroke-dasharray:2 3}.madrigal-solver .ms-crop{fill:none;stroke:var(--ink-1);stroke-width:1px;vector-effect:non-scaling-stroke}.madrigal-solver .ms-board .ms-cage{stroke:var(--ink-3)}.madrigal-solver .ms-cage.is-ok{stroke:var(--ink-2)}.madrigal-solver .ms-cage.is-broken{stroke:var(--ink-1);stroke-width:1.5px;stroke-dasharray:none}.madrigal-solver .ms-edge{fill:none;stroke-width:clamp(3px,calc(var(--cell) * .12),5px);stroke-linecap:round;vector-effect:non-scaling-stroke}.madrigal-solver .ms-ring{fill:none;stroke:var(--ink-1);stroke-width:1.25px;vector-effect:non-scaling-stroke}.madrigal-solver .ms-untiled{fill:none;stroke:var(--ink-1);stroke-width:1.25px;stroke-dasharray:.1 3;stroke-linecap:round;vector-effect:non-scaling-stroke}.madrigal-solver .ms-nb .is-struck{color:var(--ink-1);text-decoration:line-through;text-decoration-thickness:1px}.madrigal-solver .ms-edge[data-reason=consecutive]{stroke:var(--mad-consecutive)}.madrigal-solver .ms-edge[data-reason=double]{stroke:var(--mad-double)}.madrigal-solver .ms-edge[data-reason=five]{stroke:var(--mad-five)}.madrigal-solver .ms-edge[data-reason=ten]{stroke:var(--mad-ten)}.madrigal-solver .ms-marks{position:absolute;inset:0;pointer-events:none;z-index:2}.madrigal-solver .ms-total{position:absolute;left:calc(var(--x) * var(--cell));top:calc(var(--y) * var(--cell));font-family:var(--font-body);font-variant-numeric:lining-nums tabular-nums;line-height:1;white-space:nowrap}.madrigal-solver .ms-glyph-svg{display:block;overflow:visible}.madrigal-solver [data-reason=consecutive]{--chip: var(--mad-consecutive)}.madrigal-solver [data-reason=double]{--chip: var(--mad-double)}.madrigal-solver [data-reason=five]{--chip: var(--mad-five)}.madrigal-solver [data-reason=ten]{--chip: var(--mad-ten)}.madrigal-solver [data-reason=repeat]{--chip: var(--ink-1)}.madrigal-solver .ms-total{left:calc((var(--x) + .165) * var(--cell));top:calc((var(--y) + .1) * var(--cell));translate:-100% -100%;padding:0;color:var(--ink-2);font-size:clamp(6px,calc(var(--cell) * .265),12px);line-height:.72}.madrigal-solver .ms-total.is-broken{color:var(--ink-1);text-decoration:line-through;text-decoration-thickness:1px}.madrigal-solver .ms-hatch-lines{stroke:#ffffff57;stroke-width:.028px}.madrigal-solver .ms-band{fill:url(#ms-hatch-11);opacity:.6}.madrigal-solver .ms-clash{fill:url(#ms-hatch-11)}.madrigal-solver .ms-flash{animation:ms-flash .7s var(--ease-out) both}@keyframes ms-flash{0%,50%{opacity:1}to{opacity:0}}.madrigal-solver .ms-lines,.madrigal-solver .ms-frame{transition:opacity var(--dur-done) var(--ease-calm)}.madrigal-solver .is-solved .ms-under .ms-lines{opacity:.25}@property --ms-slash{syntax: "<number>"; inherits: true; initial-value: 1;}.madrigal-solver .ms-board-hard{transition:--ms-slash var(--dur-done) var(--ease-calm)}.madrigal-solver .ms-board-hard.is-solved{--ms-slash: .25}.madrigal-solver .ms-board-hard .ms-empty-slash{opacity:var(--ms-slash)}.madrigal-solver .ms-board-hard .ms-empty{fill:#ffffff0d}.madrigal-solver .ms-status{width:100%;margin:0}.madrigal-solver .ms-hint{width:100%;margin:calc(var(--step-3) * -1) 0 0}.madrigal-solver .ms-swap{display:inline-grid}.madrigal-solver .ms-swap>*{grid-area:1 / 1}.madrigal-solver .ms-lead{display:grid}.madrigal-solver .ms-lead>*{grid-area:1 / 1}.madrigal-solver .ms-lead-help{display:flex;gap:var(--step-2)}.madrigal-solver .ms-next{transition:opacity var(--duration-normal) var(--ease-out),transform var(--duration-normal) var(--ease-out),visibility 0s}.madrigal-solver .ms-next[inert]{opacity:0;transform:translateY(4px);transition-duration:var(--duration-fast),var(--duration-fast),0s;transition-delay:0s,0s,var(--duration-fast)}.madrigal-solver .ms-focus .ms-next[inert]{transform:none}.madrigal-solver .ms-pad{display:grid;grid-template-columns:repeat(5,1fr);width:100%;border:1px solid var(--rule-strong);border-radius:2px;overflow:hidden}.madrigal-solver .ms-key{display:grid;place-items:center;min-height:48px;margin:0;padding:0;border:0;border-right:1px solid var(--rule-strong);border-bottom:1px solid var(--rule-strong);background:#000;color:var(--ink-1);font-family:var(--mad-digits);font-size:1.45rem;font-variant-numeric:lining-nums tabular-nums;line-height:1;cursor:pointer;touch-action:manipulation;transition:color var(--dur-quick) var(--ease-calm),background-color var(--dur-quick) var(--ease-calm)}.madrigal-solver .ms-key:nth-child(5n){border-right:0}.madrigal-solver .ms-key:nth-child(n+6){border-bottom:0}.madrigal-solver .ms-key.is-used{color:var(--ink-4)}.madrigal-solver .ms-key.is-out{color:var(--ink-4);background:#ffffff08}.madrigal-solver .ms-key:active{background:#ffffff14}.madrigal-solver .ms-pad-hard[data-tool=pencil] .ms-key[data-hdigit]:not([aria-disabled=true]){font-style:italic;color:var(--ink-2)}.madrigal-solver .ms-key[aria-disabled=true],.madrigal-solver .ms-key[aria-disabled=true]:hover{color:var(--ink-4);background:#000;cursor:default}.madrigal-solver .ms-key-clear{color:var(--ink-2)}.madrigal-solver .ms-key-clear .ms-icon,.madrigal-solver .ms-key-clear svg{display:block;width:.9em;height:.9em}.madrigal-solver .ms-key-clear svg *,.madrigal-solver .ms-btn .ms-icon *{vector-effect:non-scaling-stroke}.madrigal-solver .ms-key:focus-visible,.madrigal-solver .ms-btn:focus-visible,.madrigal-solver .ms-tab:focus-visible,.madrigal-solver .ms-preview:focus-visible{outline:2px solid var(--ink-1);outline-offset:-3px}.madrigal-solver .ms-btn:focus-visible,.madrigal-solver .ms-tab:focus-visible{outline-offset:2px}.madrigal-solver .ms-tools{display:flex;flex-wrap:wrap;justify-content:center;gap:var(--step-2)}.madrigal-solver .ms-btn.ms-tool-icon{width:var(--btn-h);padding:0}.madrigal-solver .ms-btn.ms-tool-icon .ms-icon{width:20px;height:20px}.madrigal-solver .ms-btn.ms-focus-toggle{display:none}@media(max-width:1024px),(hover:none)and (pointer:coarse){.madrigal-solver .ms-btn.ms-focus-toggle{display:inline-flex}}.madrigal-solver .ms-focus .ms-btn.ms-focus-toggle{display:none}.madrigal-solver>.ms-app{position:relative;--ms-row-top: calc((max(40px, var(--btn-h)) - var(--btn-h)) / 2)}.madrigal-solver>.ms-app>.ms-focus-toggle{position:absolute;top:calc(var(--btn-h) + var(--step-2) + var(--ms-row-top));right:0}.madrigal-solver .ms-btn{display:inline-flex;align-items:center;justify-content:center;gap:.45em;min-height:var(--btn-h);margin:0;padding:0 .85em;border:1px solid var(--rule-strong);border-radius:2px;background:#050505;color:var(--ink-3);font-family:var(--font-body);font-size:var(--meta-size);font-variant-caps:small-caps;letter-spacing:.06em;line-height:1;white-space:nowrap;cursor:pointer;touch-action:manipulation;transition:color var(--dur-quick) var(--ease-calm),border-color var(--dur-quick) var(--ease-calm),background-color var(--dur-quick) var(--ease-calm)}.madrigal-solver .ms-btn .ms-icon,.madrigal-solver .ms-btn .ms-mark svg{display:block;width:14px;height:14px;flex:none}.madrigal-solver .ms-btn[aria-pressed=true]{border-color:#ffffff80;background:#151515;color:var(--ink-1)}.madrigal-solver .ms-primary{border-color:#fff6;color:var(--ink-1)}.madrigal-solver .ms-btn[aria-disabled=true]{border-color:var(--rule);color:var(--ink-4);cursor:default}.madrigal-solver .ms-btn:not([aria-disabled=true]):active{background:#161616}.madrigal-solver .ms-next{color:var(--ink-1);border-color:#ffffff73}.madrigal-solver .ms-tray{display:flex;align-items:center;gap:var(--step-2);width:100%}.madrigal-solver .ms-preview{--pv: clamp(44px, 100cqi - 274px, 66px);flex:none;width:var(--pv);height:var(--pv);overflow:visible;font-family:var(--mad-digits);font-variant-numeric:lining-nums tabular-nums;cursor:grab;touch-action:none;border-radius:1px}.madrigal-solver .ms-preview text{fill:var(--ink-1);font-size:.56px;text-anchor:middle}.madrigal-solver .ms-mini-lines{fill:none;stroke:var(--mad-line);stroke-width:1px;vector-effect:non-scaling-stroke}.madrigal-solver .ms-mini-frame{fill:none;stroke:var(--mad-line-strong);stroke-width:1.5px;vector-effect:non-scaling-stroke}.madrigal-solver .ms-turn-set,.madrigal-solver .ms-acts{display:flex;gap:6px}.madrigal-solver .ms-turns{display:grid}.madrigal-solver .ms-turn-set{grid-area:1 / 1}.madrigal-solver .ms-acts{margin-left:auto}.madrigal-solver .ms-slot{display:grid;order:-1}.madrigal-solver .ms-slot>*{grid-area:1 / 1}.madrigal-solver .ms-turn,.madrigal-solver .ms-aside{width:var(--btn-h);padding:0}.madrigal-solver .ms-turn .ms-icon,.madrigal-solver .ms-aside .ms-icon{width:20px;height:20px}.madrigal-solver .ms-btn-label{display:none}.madrigal-solver .ms-btn .ms-icon svg{display:block;width:100%;height:100%}.madrigal-solver .ms-primary .ms-place-icon{display:none}@container (max-width: 599px){.madrigal-solver .ms-btn{padding:0 .7em}.madrigal-solver .ms-primary{padding-inline:.6em}.madrigal-solver .ms-turn,.madrigal-solver .ms-aside{padding:0}.madrigal-solver .ms-tools{width:100%}.madrigal-solver .ms-tools>*{order:2}.madrigal-solver .ms-tools>:first-child,.madrigal-solver .ms-tools>[data-act=help]{order:0}.madrigal-solver .ms-tools>:is([data-act=reset],[data-hact=reset]){order:1}.madrigal-solver .ms-tools>:is([data-act=undo],[data-hact=undo]){margin-left:auto}.madrigal-solver [data-stage=h] .ms-tools>[data-hact=reset]{order:-1}.madrigal-solver [data-stage=h] .ms-tools>[data-hact=check]{margin-left:auto}.madrigal-solver [data-stage=h] .ms-tools>[data-hact=undo]{margin-left:0}}@container (max-width: 379px){.madrigal-solver .ms-tray{gap:6px}.madrigal-solver .ms-tab{padding:0 .6em}.madrigal-solver .ms-tab-rule{width:12px}}@container (max-width: 330px){.madrigal-solver .ms-the{display:none}.madrigal-solver .ms-tab{text-transform:capitalize}.madrigal-solver .ms-tab .ms-num{text-transform:none}.madrigal-solver :is(.ms-tools,.ms-lead-help){gap:6px}.madrigal-solver .ms-tools .ms-btn:not(.ms-tool-icon){padding:0 .6em}}@container (max-width: 335px){.madrigal-solver .ms-btn.ms-primary{position:relative;width:var(--btn-h);padding:0}.madrigal-solver .ms-primary .ms-place-icon{display:block;width:20px;height:20px}.madrigal-solver .ms-primary .ms-place-text{position:absolute;width:1px;height:1px;overflow:hidden;clip-path:inset(50%);white-space:nowrap}}.madrigal-solver .ms-legend{display:grid;grid-template-columns:minmax(0,1fr) auto minmax(0,1fr);align-content:start;width:100%;text-align:center}.madrigal-solver .ms-legend>*{grid-column:2;min-width:0}.madrigal-solver .ms-legend>.ms-key-head,.madrigal-solver .ms-legend>.ms-key-rule{grid-column:1 / -1}.madrigal-solver .ms-legend .ms-key-head{margin-bottom:var(--step-2)}.madrigal-solver .ms-key-rule{margin-block:var(--step-3);border-top:1px solid var(--rule)}.madrigal-solver .ms-key-lower{display:grid;row-gap:.45rem;max-width:100%}.madrigal-solver .ms-key-lower .ms-key-item{white-space:normal;text-align:left}.madrigal-solver .ms-key-items{display:grid;grid-template-columns:repeat(2,auto);justify-content:start;gap:.45rem var(--step-5)}.madrigal-solver .ms-key-head{padding-left:var(--meta-tracking);font-size:var(--meta-size);font-variant-caps:all-small-caps;letter-spacing:var(--meta-tracking);line-height:1.2;color:var(--ink-3)}.madrigal-solver .ms-key-item[data-reason=cage]{--chip: var(--ink-2)}.madrigal-solver .ms-key-item{display:flex;align-items:center;gap:.55em;color:var(--ink-3);font-size:var(--caption-size);font-variant-numeric:lining-nums proportional-nums;line-height:1.25;white-space:nowrap;transition:color var(--dur-quick) var(--ease-calm)}.madrigal-solver .ms-key-glyph{display:grid;flex:none;width:15px;height:15px;color:var(--chip);opacity:.8;transition:opacity var(--dur-quick) var(--ease-calm)}.madrigal-solver .ms-key-glyph .ms-glyph-svg{width:100%;height:100%}.madrigal-solver .ms-key-item.is-on{color:var(--ink-1)}.madrigal-solver .ms-key-item.is-on .ms-key-glyph{opacity:1}.madrigal-solver .ms-kbd{display:none;position:relative;align-self:stretch;justify-content:flex-end}.madrigal-solver.ms-kbd-used .ms-kbd{display:flex}.madrigal-solver .ms-btn.ms-kbd-btn{width:var(--btn-h);padding:0}.madrigal-solver .ms-kbd-q{font-variant-caps:normal;font-size:1.05rem;letter-spacing:0}.madrigal-solver .ms-kbd-label{display:none}.madrigal-solver .ms-kbd-btn[aria-expanded=true]{border-color:#ffffff80;background:#151515;color:var(--ink-1)}.madrigal-solver .ms-cap{display:inline-flex;flex:none;align-items:center;justify-content:center;box-sizing:border-box;min-width:24px;height:24px;padding:0 .4rem;border:1px solid var(--rule-strong);border-radius:2px;background:#0b0b0b;color:var(--ink-2);font-family:var(--font-body);font-size:var(--caption-size);font-variant-caps:normal;font-variant-numeric:lining-nums;letter-spacing:0;line-height:1;white-space:nowrap;transition:color var(--dur-quick) var(--ease-calm),border-color var(--dur-quick) var(--ease-calm),background-color var(--dur-quick) var(--ease-calm)}.madrigal-solver .ms-cap svg{display:block;width:12px;height:12px}.madrigal-solver .ms-kbd-pane .ms-cap:has(svg){width:24px;padding:0}.madrigal-solver .ms-cap svg *{vector-effect:non-scaling-stroke}.madrigal-solver .ms-kbd-pane{display:none;position:absolute;z-index:3;top:calc(var(--kbd-top, -100%) + var(--step-4));left:0;right:0;max-height:calc(-1 * var(--kbd-top, -100%) - var(--step-4) - 8px);overflow-y:auto;overscroll-behavior:contain;background-color:#080808;text-align:left}.madrigal-solver.is-kbd-open .ms-panel>:not(.ms-statusrow,.ms-hint,.ms-kbd){visibility:hidden}.madrigal-solver.is-kbd-open .ms-kbd-pane{display:grid;grid-template-columns:minmax(0,1fr);align-items:start;gap:var(--step-4) var(--step-6)}.madrigal-solver .ms-kbd-head{margin:0 0 var(--step-2);font-size:var(--meta-size);font-variant-caps:all-small-caps;letter-spacing:var(--meta-tracking);line-height:1.2;color:var(--ink-3)}.madrigal-solver .ms-kbd-list{display:grid;gap:6px;margin:0}.madrigal-solver .ms-kbd-row{display:flex;align-items:center;gap:var(--step-3);min-height:24px}.madrigal-solver .ms-kbd-row dd{flex:1;order:-1;min-width:0;margin:0;color:var(--ink-2);font-size:var(--caption-size);line-height:1.2}.madrigal-solver .ms-kbd-row dt,.madrigal-solver .ms-caps{display:flex;flex:none;align-items:center;gap:6px}.madrigal-solver .ms-caps{gap:2px}.madrigal-solver .ms-cap-to{color:var(--ink-4);font-size:var(--caption-size)}.madrigal-solver .ms-touch{display:none}@media(hover:hover)and (pointer:fine){.madrigal-solver .ms-kbd{display:flex}.madrigal-solver .ms-tab:not([aria-disabled=true]):hover,.madrigal-solver .ms-btn:not([aria-disabled=true]):hover{color:var(--ink-1);border-color:#ffffff57}.madrigal-solver .ms-btn.ms-mode[aria-pressed=true]:hover{border-color:#ffffff80}.madrigal-solver .ms-key:hover{background:#ffffff0d}}@media(hover:none),(pointer:coarse){.madrigal-solver .ms-touch{display:inline}.madrigal-solver .ms-mouse{display:none}}@media(pointer:coarse){.madrigal-solver .ms-app{--btn-h: 44px}}.madrigal-solver .ms-board-box .ms-d{color:var(--ink-2)}.madrigal-solver .ms-board-box.is-sealed .ms-d{color:var(--ink-1)}.madrigal-solver .ms-board-box .is-given .ms-d{color:var(--ink-3)}.madrigal-solver .ms-cue{fill:var(--mad-band);animation:ms-fade var(--duration-fast) var(--ease-out) both}.madrigal-solver .ms-cue-rule{fill:none;stroke:var(--ink-3);stroke-width:1px;stroke-dasharray:2 3;vector-effect:non-scaling-stroke;animation:ms-fade var(--duration-fast) var(--ease-out) both}.madrigal-solver .ms-cue-line{fill:none;stroke:var(--ink-3);stroke-width:1px;vector-effect:non-scaling-stroke;animation:ms-fade var(--duration-fast) var(--ease-out) both}.madrigal-solver .ms-seal{fill:none;opacity:0;transform:scale(1.04);transform-box:view-box;transform-origin:50% 50%;transition:opacity var(--duration-normal) var(--ease-out),transform var(--duration-normal) var(--ease-settle)}.madrigal-solver .is-sealed .ms-seal{opacity:1;transform:none}.madrigal-solver .ms-seal .ms-crop{stroke:#ffffff9e}.madrigal-solver .ms-seal .is-tight{display:none}@media(max-width:767px){.madrigal-solver .ms-seal .is-wide{display:none}.madrigal-solver .ms-seal .is-tight{display:inline}}@container (min-width: 600px) and (max-height: 499px){.madrigal-solver .ms-focus .ms-seal .is-wide{display:none}.madrigal-solver .ms-focus .ms-seal .is-tight{display:inline}}.madrigal-solver .ms-stage.is-entering{animation:ms-fade var(--duration-fast) var(--ease-out) both}@keyframes ms-fade{0%{opacity:0}}@container (min-width: 600px){.madrigal-solver .ms-app{--cell: min(44px, round(down, (100cqi - 272px) / 11, 1px))}.madrigal-solver .ms-legend{margin-top:auto}@media(max-height:500px){.madrigal-solver .ms-app{--cell: min(44px, round(down, (100cqi - 272px) / 11, 1px), max(24px, round(down, (100svh - 24px) / 11, 1px)))}}.madrigal-solver .ms-stages{width:var(--board)}.madrigal-solver .ms-stage{display:grid;grid-template-columns:var(--board) minmax(0,1fr);grid-template-rows:auto 1fr;align-items:stretch;gap:var(--step-3) var(--ms-gap)}.madrigal-solver .ms-figure{grid-area:1 / 1;align-self:start}.madrigal-solver .ms-panel{grid-area:1 / 2 / 3 / 3}.madrigal-solver .ms-kbd{margin-top:auto}.madrigal-solver .ms-btn.ms-kbd-btn{width:calc((100% - 2 * var(--step-2)) / 3);padding:0 .85em}.madrigal-solver .ms-kbd-q{display:none}.madrigal-solver .ms-kbd-label{display:inline}.madrigal-solver .ms-kbd-pane{top:calc(var(--kbd-top, -100%) + var(--step-2));max-height:calc(-1 * var(--kbd-top, -100%) - var(--step-2) - 8px);padding:var(--step-2) var(--step-4) var(--step-3)}.madrigal-solver.is-kbd-open .ms-kbd-pane{row-gap:var(--step-3)}.madrigal-solver .ms-kbd-list{gap:4px}.madrigal-solver .ms-kbd-head{margin-bottom:4px}.madrigal-solver .ms-panel{align-items:stretch;max-width:24rem;text-align:left}.madrigal-solver .ms-legend{margin-top:0}.madrigal-solver .ms-tools{display:grid;grid-template-columns:repeat(3,minmax(0,1fr))}.madrigal-solver .ms-tools>:first-child{grid-area:1 / 1 / 2 / 3}.madrigal-solver :is(.ms-tools>.ms-lead,[data-stage=h] .ms-tools>:first-child){grid-column:1 / -1}.madrigal-solver .ms-tools>[data-act=help],.madrigal-solver .ms-lead-help>[data-act=help]{grid-area:1 / 3}.madrigal-solver .ms-lead{grid-template-columns:repeat(3,minmax(0,1fr));gap:var(--step-2)}.madrigal-solver .ms-lead-help{display:contents}.madrigal-solver .ms-lead-help>[data-act=candidates]{grid-area:1 / 1 / 2 / 3}.madrigal-solver .ms-lead>.ms-next{grid-area:1 / 1 / 2 / -1}.madrigal-solver .ms-tools>:is([data-act=undo],[data-hact=undo]){grid-area:2 / 1}.madrigal-solver .ms-tools>:is([data-act=redo],[data-hact=redo]){grid-area:2 / 2}.madrigal-solver .ms-tools>:is([data-act=reset],[data-hact=reset]){grid-area:2 / 3}.madrigal-solver>.ms-app>.ms-modes{position:absolute;top:var(--ms-row-top);right:0;margin:0}@media(max-width:1024px),(hover:none)and (pointer:coarse){.madrigal-solver>.ms-app>.ms-modes{right:calc(var(--btn-h) + var(--step-2))}}.madrigal-solver>.ms-app>.ms-focus-toggle{top:var(--ms-row-top)}.madrigal-solver .ms-btn.ms-tool-icon:not(.ms-focus-toggle){width:auto;padding:0 .85em}.madrigal-solver .ms-btn.ms-tool-icon:not(.ms-focus-toggle) .ms-icon{display:none}.madrigal-solver .ms-tray{--tray-pv: calc(var(--btn-h) * 3 + 12px);display:grid;grid-template-columns:var(--tray-pv) minmax(0,1fr);gap:6px var(--step-3)}.madrigal-solver .ms-preview{--pv: var(--tray-pv);grid-area:1 / 1}.madrigal-solver .ms-turns{grid-area:1 / 2}.madrigal-solver .ms-turn-set{flex-direction:column}.madrigal-solver .ms-turn-set[data-turns=free]>*{flex:1 1 0}.madrigal-solver .ms-turn,.madrigal-solver .ms-aside{width:100%;padding:0 .85em;justify-content:flex-start}.madrigal-solver .ms-btn-label{display:inline}.madrigal-solver .ms-turn .ms-icon,.madrigal-solver .ms-aside .ms-icon{width:15px;height:15px}.madrigal-solver .ms-acts{display:contents}.madrigal-solver .ms-primary{grid-area:2 / 1}.madrigal-solver .ms-slot{grid-area:2 / 2}}@container (min-width: 600px) and (max-width: 879px){.madrigal-solver .ms-turn .ms-btn-label{display:none}.madrigal-solver .ms-turn{justify-content:center}.madrigal-solver .ms-turn .ms-icon{width:20px;height:20px}}@container (min-width: 880px){.madrigal-solver .ms-app{--cell: min(48px, round(down, (100cqi - 352px) / 11, 1px))}}@container (max-width: 599px){.madrigal-solver .ms-app{--cell: min(44px, round(down, 100cqi / 11, 1px))}}@supports not (width: round(down,10px,1px)){@container (max-width: 599px){.madrigal-solver .ms-app{--cell: min(44px, calc(100cqi / 11))}}@container (min-width: 600px){.madrigal-solver .ms-app{--cell: min(44px, calc((100cqi - 272px) / 11))}}@container (min-width: 880px){.madrigal-solver .ms-app{--cell: min(48px, calc((100cqi - 352px) / 11))}}}.madrigal-solver .ms-holder{display:block}.madrigal-solver .ms-focus{--fs-pad: 12px;position:fixed;inset:0;width:100%;max-width:none;height:100%;height:100dvh;max-height:none;margin:0;padding:max(var(--fs-pad),env(safe-area-inset-top)) max(var(--fs-pad),env(safe-area-inset-right)) max(var(--fs-pad),env(safe-area-inset-bottom)) max(var(--fs-pad),env(safe-area-inset-left));border:0;background:#000;color:var(--ink-2);overflow:hidden;overscroll-behavior:contain;outline:none}.madrigal-solver .ms-focus[open]{display:flex;flex-direction:column}.madrigal-solver .ms-focus::backdrop{background:transparent}.madrigal-solver .ms-focus-body{flex:1;min-height:0;container-type:size;overflow-y:auto;overscroll-behavior:contain}.madrigal-solver .ms-btn.ms-focus-close{position:absolute;top:max(var(--fs-pad),env(safe-area-inset-top));right:max(var(--fs-pad),env(safe-area-inset-right));z-index:2;width:44px;height:44px;padding:0}.madrigal-solver .ms-focus-close .ms-icon{width:16px;height:16px}.madrigal-solver .ms-focus .ms-board-grid .ms-cell{touch-action:none}.madrigal-solver .ms-statusrow{display:contents}.madrigal-solver .ms-btn.ms-strip{display:none}.madrigal-solver .ms-focus .ms-app{--fx-w: 0px;--fx-h: 252px;--cell-max: 56px;--cell: clamp(24px, round(down, min((100cqw - var(--fx-w)) / 11, (min(100cqh, 100svh - 24px) - var(--fx-h)) / 11), 1px), var(--cell-max));--box-cell: min(var(--cell) * 3, 96px);display:flex;flex-direction:column;height:100%}.madrigal-solver .ms-focus [data-live]{position:absolute;margin:0}.madrigal-solver .ms-focus .ms-stages{flex:none;margin-bottom:8px;padding-inline:48px}.madrigal-solver .ms-focus .ms-deck{flex:1;min-height:0;grid-template-rows:minmax(0,1fr)}.madrigal-solver .ms-focus .ms-stage{min-height:0}.madrigal-solver .ms-focus .ms-key{min-height:56px}.madrigal-solver .ms-focus .ms-kbd{margin-top:0}@container (max-width: 599px){.madrigal-solver .ms-focus .ms-kbd{display:none}}@container (max-height: 499px){.madrigal-solver .ms-focus .ms-kbd{display:none}}.madrigal-solver .ms-focus .ms-statusrow{display:flex;align-items:center;gap:8px;width:100%;min-height:44px}.madrigal-solver .ms-focus .ms-statusrow .ms-status{flex:1;width:auto;min-width:0;text-align:left;text-align-last:left}.madrigal-solver .ms-focus .ms-btn.ms-strip{display:inline-flex;flex:none;height:44px;padding:0;border:0;background:none}.madrigal-solver .ms-strip-box{--ms-strip-open-rule: rgb(255 255 255 / .5);--ms-strip-open-ground: #151515;display:inline-flex;align-items:center;gap:7px;height:32px;padding:0 10px;border:1px solid var(--rule-strong);border-radius:2px;background:#050505;transition:background-color var(--dur-quick) var(--ease-calm),border-color var(--dur-quick) var(--ease-calm)}.madrigal-solver .ms-strip[aria-expanded=true] .ms-strip-box{border-color:var(--ms-strip-open-rule);background:var(--ms-strip-open-ground)}@container (max-width: 379px){.madrigal-solver .ms-strip-box{gap:5px}}@container (max-width: 335px){.madrigal-solver .ms-focus .ms-statusrow{gap:6px}.madrigal-solver .ms-strip-box{gap:1px;padding:0 6px}}.madrigal-solver .ms-strip-item[data-reason=cage]{--chip: var(--ink-2)}.madrigal-solver .ms-strip-item{display:grid}.madrigal-solver .ms-strip-item .ms-key-glyph{width:16px;height:16px;opacity:.55}.madrigal-solver .ms-strip-item[data-reason=cage] .ms-key-glyph{width:15px;height:15px;margin:0 1px 1px 0}.madrigal-solver .ms-strip-item.is-on .ms-key-glyph{opacity:1}.madrigal-solver .ms-focus .ms-legend{visibility:hidden;position:absolute;z-index:3;left:0;right:0;bottom:calc(100% + 8px);margin:0;background-color:#080808}.madrigal-solver.is-key-open .ms-focus .ms-legend{visibility:inherit}.madrigal-solver.is-key-auto .ms-focus .ms-legend{animation:ms-key-arrive .2s ease-out both}@keyframes ms-key-arrive{0%{opacity:0}}@container (max-width: 599px){.madrigal-solver .ms-focus .ms-stage{gap:12px}.madrigal-solver .ms-focus .ms-app{--box-cell: min(var(--cell) * 11 / 3, round(down, (100cqh - 345px) / 3, 1px))}.madrigal-solver[data-mode=hard] .ms-focus .ms-app{--fx-h: 304px}.madrigal-solver .ms-focus .ms-pad-hard .ms-key{min-height:48px}.madrigal-solver .ms-focus .ms-figure{flex:1 1 auto;height:auto;min-height:0;place-items:end center}.madrigal-solver .ms-focus .ms-panel{position:relative;flex:none;gap:8px}.madrigal-solver .ms-focus .ms-hint{margin-top:-6px}.madrigal-solver .ms-focus .ms-preview{--pv: clamp(44px, 100cqi - 274px, 56px)}.madrigal-solver.is-key-clear .ms-focus [data-stage="1"] .ms-legend{bottom:calc(100% + 12px + 3 * var(--box-cell) + 8px)}}@container (max-width: 599px) and (max-height: 419px){.madrigal-solver .ms-focus .ms-app{--box-cell: min(var(--cell) * 3, 96px);height:auto}.madrigal-solver .ms-focus .ms-deck{flex:none}.madrigal-solver .ms-focus .ms-figure{flex:none;height:var(--board);place-items:center}}@container (max-width: 599px) and (max-height: 700px){.madrigal-solver[data-mode=hard] .ms-focus .ms-app{--fx-h: 296px}.madrigal-solver .ms-focus .ms-pad-hard .ms-key{min-height:44px}}@container (max-width: 599px) and (max-height: 579px){.madrigal-solver[data-mode=hard] .ms-focus .ms-app{--fx-h: 260px;height:auto}.madrigal-solver[data-mode=hard] .ms-focus .ms-deck{flex:none}.madrigal-solver[data-mode=hard] .ms-focus .ms-figure{flex:none;height:var(--board);place-items:center}}@container (min-width: 600px) and (max-height: 499px){.madrigal-solver .ms-focus .ms-app{--ms-gap: 24px;--console: max(344px, min(400px, 100cqw - 100cqh - 24px));--fx-w: calc(var(--console) + var(--ms-gap));--fx-h: 0px;position:relative}.madrigal-solver .ms-focus .ms-stages{position:absolute;z-index:1;top:0;left:calc(var(--board) + var(--ms-gap));right:48px;width:auto;margin:0;padding:0;justify-content:flex-start}.madrigal-solver .ms-focus .ms-stage{position:relative;grid-template-columns:var(--board) minmax(0,1fr);grid-template-rows:minmax(0,1fr);gap:0 var(--ms-gap)}.madrigal-solver .ms-focus .ms-figure{grid-area:1 / 1;align-self:center;height:var(--board)}.madrigal-solver .ms-focus .ms-panel{grid-area:1 / 2;gap:8px;max-width:none;min-height:0;padding-top:52px;overflow-y:auto;overscroll-behavior:contain}.madrigal-solver .ms-focus .ms-hint{margin-top:-6px}.madrigal-solver .ms-focus .ms-statusrow{margin-top:auto}.madrigal-solver .ms-focus .ms-key{min-height:48px}.madrigal-solver .ms-focus .ms-legend{left:calc(var(--board) + var(--ms-gap));right:0;top:104px;bottom:auto;width:auto}.madrigal-solver .ms-focus .ms-tray{display:flex;gap:8px;width:100%}.madrigal-solver .ms-focus .ms-preview{--pv: 56px}.madrigal-solver .ms-focus .ms-turn-set{flex-direction:row}.madrigal-solver .ms-focus .ms-turn,.madrigal-solver .ms-focus .ms-aside,.madrigal-solver .ms-focus .ms-btn.ms-tool-icon:not(.ms-focus-toggle){width:var(--btn-h);padding:0;justify-content:center}.madrigal-solver .ms-focus .ms-btn-label{display:none}.madrigal-solver .ms-focus .ms-turn .ms-icon,.madrigal-solver .ms-focus .ms-aside .ms-icon,.madrigal-solver .ms-focus .ms-btn.ms-tool-icon:not(.ms-focus-toggle) .ms-icon{display:block;width:20px;height:20px}.madrigal-solver .ms-focus .ms-acts{margin-left:auto}.madrigal-solver .ms-focus .ms-slot{order:-1}.madrigal-solver .ms-focus .ms-tools{display:flex;width:100%}.madrigal-solver .ms-focus .ms-turn-set>*{flex:none}.madrigal-solver .ms-focus .ms-acts{display:flex}.madrigal-solver .ms-focus .ms-tools>*{order:2}.madrigal-solver .ms-focus .ms-tools>:first-child,.madrigal-solver .ms-focus .ms-tools>[data-act=help]{order:0}.madrigal-solver .ms-focus .ms-tools>:is([data-act=reset],[data-hact=reset]){order:1}.madrigal-solver .ms-focus .ms-tools>:is([data-act=undo],[data-hact=undo]){margin-left:auto}.madrigal-solver .ms-focus [data-stage=h] .ms-tools>[data-hact=reset]{order:-1}.madrigal-solver .ms-focus [data-stage=h] .ms-tools>[data-hact=check]{margin-left:auto}.madrigal-solver .ms-focus [data-stage=h] .ms-tools>[data-hact=undo]{margin-left:0}.madrigal-solver .ms-focus .ms-tabset{justify-content:flex-start}.madrigal-solver .ms-focus .ms-clock{left:auto;right:var(--fs-pad)}.madrigal-solver .ms-focus .ms-lead{grid-template-columns:none}.madrigal-solver .ms-focus .ms-lead>*{grid-area:1 / 1}.madrigal-solver .ms-focus .ms-lead-help{display:flex}}@container (min-width: 600px) and (max-height: 499px) and (max-width: 759px){.madrigal-solver .ms-focus .ms-tray{gap:6px}.madrigal-solver .ms-focus .ms-preview{--pv: 44px}}@container (min-width: 600px) and (max-height: 319px){.madrigal-solver .ms-focus .ms-hint:not(.is-cued){display:none}}@container (min-width: 600px) and (min-height: 500px){.madrigal-solver .ms-focus .ms-app{--box-cell: min(var(--cell) * 3, 120px);position:relative}.madrigal-solver .ms-focus .ms-modes{position:absolute;z-index:1;top:0;right:52px;margin:0}.madrigal-solver .ms-focus .ms-btn.ms-strip{display:none}.madrigal-solver .ms-focus .ms-legend,.madrigal-solver.is-key-open .ms-focus .ms-legend{visibility:inherit;position:static;margin-top:auto;background-color:var(--mad-pane-fill)}.madrigal-solver .ms-focus .ms-statusrow{min-height:0}}@container (min-width: 600px) and (min-height: 500px) and (orientation: portrait){.madrigal-solver .ms-focus .ms-app{--fx-h: 360px}.madrigal-solver .ms-focus .ms-stages{width:auto}.madrigal-solver .ms-focus .ms-stage{display:flex;flex-direction:column;align-items:center;gap:16px}.madrigal-solver .ms-focus .ms-figure{flex:1 1 auto;height:auto;min-height:0}.madrigal-solver .ms-focus .ms-panel{display:grid;grid-template-columns:minmax(0,1fr) minmax(0,1fr);align-content:start;align-items:start;gap:8px 32px;width:min(100%,max(var(--board),600px));max-width:none}.madrigal-solver .ms-focus [data-stage="1"] .ms-panel{grid-template-areas:"status legend" "hint legend" "pad legend" "pad tools"}.madrigal-solver .ms-focus [data-stage="2"] .ms-panel{grid-template-areas:"status legend" "hint legend" "tray legend" "tray tools"}.madrigal-solver .ms-focus [data-stage=h] .ms-panel{grid-template-areas:"status legend" "pad legend" "pad tools"}.madrigal-solver .ms-focus .ms-statusrow{grid-area:status}.madrigal-solver .ms-focus .ms-hint{grid-area:hint}.madrigal-solver .ms-focus .ms-tray{grid-area:tray}.madrigal-solver .ms-focus .ms-pad{grid-area:pad}.madrigal-solver .ms-focus .ms-panel>.ms-legend{grid-area:legend;margin:0}.madrigal-solver .ms-focus .ms-panel>.ms-tools{grid-area:tools;align-self:end}.madrigal-solver .ms-focus .ms-panel>.ms-kbd{grid-column:1 / -1}.madrigal-solver .ms-focus .ms-btn.ms-kbd-btn{width:calc(((100% - 32px) / 2 - 2 * var(--step-2)) / 3)}.madrigal-solver.is-kbd-open .ms-focus .ms-kbd-pane{grid-template-columns:minmax(0,1fr) minmax(0,1fr);grid-auto-flow:dense}.madrigal-solver .ms-focus .ms-kbd-group:nth-child(2){grid-column:2;grid-row:1 / span 2}.madrigal-solver .ms-focus .ms-hint{margin-top:-4px}}@container (min-width: 600px) and (min-height: 500px) and (orientation: landscape){.madrigal-solver .ms-focus .ms-app{--fx-w: calc(24rem + var(--ms-gap));--fx-h: 100px}.madrigal-solver .ms-focus .ms-stage{grid-template-columns:var(--board) minmax(0,24rem);justify-content:center}.madrigal-solver .ms-focus .ms-stages{margin-left:max(0px,(100% - var(--board) - var(--ms-gap) - 24rem) / 2)}}@media(prefers-reduced-motion:reduce){.madrigal-solver *,.madrigal-solver *:before,.madrigal-solver *:after{animation:none!important;transition:none!important}}@media print{.madrigal-solver .ms-focus,.madrigal-solver .ms-holder{display:none!important}}.board-title[data-astro-cid-2vof47wv]{margin:0 0 var(--step-2);font-size:var(--meta-size);font-variant:small-caps;font-variant-numeric:lining-nums proportional-nums;letter-spacing:.1em;color:var(--ink-3);text-align:center;text-align-last:center;text-indent:0;hyphens:none;line-height:1.25}.board[data-astro-cid-2vof47wv]{display:block;width:100%;height:auto;margin-inline:auto;overflow:visible;font-family:var(--mad-digits);font-variant-numeric:lining-nums tabular-nums}.lines[data-astro-cid-2vof47wv]{fill:none;stroke:var(--mad-line);stroke-width:.5px;vector-effect:non-scaling-stroke}.frame[data-astro-cid-2vof47wv]{fill:none;stroke:var(--rule-strong);stroke-width:1px;vector-effect:non-scaling-stroke}.tint[data-astro-cid-2vof47wv]{fill:none}.tint[data-astro-cid-2vof47wv].a{fill:var(--mad-tint-a)}.tint[data-astro-cid-2vof47wv].b{fill:var(--mad-tint-b)}.box[data-astro-cid-2vof47wv]{fill:none;stroke:var(--mad-box-ink);stroke-width:var(--mad-box-stroke);vector-effect:non-scaling-stroke}.ghost-box[data-astro-cid-2vof47wv]{fill:none;stroke:var(--ink-ornament);stroke-width:1px;vector-effect:non-scaling-stroke}.ghost-box[data-astro-cid-2vof47wv].a{fill:var(--mad-tint-a)}.ghost-box[data-astro-cid-2vof47wv].b{fill:var(--mad-tint-b)}.box[data-astro-cid-2vof47wv].ghost{stroke:var(--ink-4);stroke-dasharray:3 3;stroke-width:1px}.box[data-astro-cid-2vof47wv].cand{stroke:var(--ink-3);stroke-dasharray:4 3;stroke-width:1.5px}.box-n[data-astro-cid-2vof47wv]{fill:var(--ink-3);font-family:var(--font-body);font-style:italic;font-size:calc(var(--n) * 1px);transform:translate(calc(var(--nx) * 1px - 1.4px))}.is-lifted[data-astro-cid-2vof47wv] .coords[data-astro-cid-2vof47wv] .col[data-astro-cid-2vof47wv]{transform:translateY(calc((var(--n-max) - var(--n)) * 1px))}.shade[data-astro-cid-2vof47wv]{fill:var(--mad-cell)}.shade[data-astro-cid-2vof47wv].empty{fill:#ffffff12}.shade[data-astro-cid-2vof47wv].band{fill:var(--mad-band)}.hatch-line[data-astro-cid-2vof47wv]{stroke:var(--ink-3);stroke-width:.5}.coords[data-astro-cid-2vof47wv] text[data-astro-cid-2vof47wv]{fill:var(--mad-coord-ink);text-anchor:middle}.coords[data-astro-cid-2vof47wv] text[data-astro-cid-2vof47wv].hot{fill:var(--ink-1)}.mark-path[data-astro-cid-2vof47wv]{fill:none;stroke-width:1px;vector-effect:non-scaling-stroke}.mark-path[data-astro-cid-2vof47wv].rule{stroke:var(--rule-strong)}.mark-path[data-astro-cid-2vof47wv].arrow{stroke:var(--ink-3)}.mark-path[data-astro-cid-2vof47wv].square{stroke:var(--ink-4)}.arrow-head[data-astro-cid-2vof47wv]{fill:none;stroke:var(--ink-3);stroke-width:.4;stroke-linecap:round;stroke-linejoin:round}.digit[data-astro-cid-2vof47wv]{fill:var(--ink-1);font-size:6.4px;text-anchor:middle}.digit[data-astro-cid-2vof47wv].old,.digit[data-astro-cid-2vof47wv].faint,.digit[data-astro-cid-2vof47wv].cand{fill:var(--ink-3)}.digit[data-astro-cid-2vof47wv].two{fill:var(--zimaBlue)}.digit[data-astro-cid-2vof47wv].bad{fill:var(--ink-3)}.strike[data-astro-cid-2vof47wv],.pencil-strike[data-astro-cid-2vof47wv]{stroke:var(--ink-2);stroke-width:1px;stroke-linecap:round;vector-effect:non-scaling-stroke}.pencil[data-astro-cid-2vof47wv] text[data-astro-cid-2vof47wv]{fill:var(--ink-3);font-size:3.3px;text-anchor:middle}.pencil[data-astro-cid-2vof47wv] text[data-astro-cid-2vof47wv].hot{fill:var(--ink-1)}.pencil[data-astro-cid-2vof47wv] text[data-astro-cid-2vof47wv].struck{fill:var(--ink-4)}.cage[data-astro-cid-2vof47wv] rect[data-astro-cid-2vof47wv]{fill:none;stroke:var(--ink-3);stroke-width:1px;stroke-dasharray:var(--mad-cage-dash);vector-effect:non-scaling-stroke}.cage[data-astro-cid-2vof47wv] text[data-astro-cid-2vof47wv]{fill:var(--ink-2);font-size:2.65px;text-anchor:end}.edge[data-astro-cid-2vof47wv] path[data-astro-cid-2vof47wv]{stroke-width:3px;stroke-linecap:round;vector-effect:non-scaling-stroke}.edge[data-astro-cid-2vof47wv].consecutive path[data-astro-cid-2vof47wv]{stroke:var(--mad-consecutive)}.edge[data-astro-cid-2vof47wv].double path[data-astro-cid-2vof47wv]{stroke:var(--mad-double)}.edge[data-astro-cid-2vof47wv].five path[data-astro-cid-2vof47wv]{stroke:var(--mad-five)}.edge[data-astro-cid-2vof47wv].ten path[data-astro-cid-2vof47wv]{stroke:var(--mad-ten)}.edge[data-astro-cid-2vof47wv].allowed path[data-astro-cid-2vof47wv]{stroke:var(--mad-allowed);stroke-width:2.5px}.edge[data-astro-cid-2vof47wv].seam path[data-astro-cid-2vof47wv]{stroke:var(--mad-allowed);stroke-width:2.5px}.edge[data-astro-cid-2vof47wv].slot:not([data-kind]){display:none}.edge[data-astro-cid-2vof47wv].slot[data-kind=consecutive] path[data-astro-cid-2vof47wv]{stroke:var(--mad-consecutive)}.edge[data-astro-cid-2vof47wv].slot[data-kind=double] path[data-astro-cid-2vof47wv]{stroke:var(--mad-double)}.edge[data-astro-cid-2vof47wv].slot[data-kind=five] path[data-astro-cid-2vof47wv]{stroke:var(--mad-five)}.edge[data-astro-cid-2vof47wv].slot[data-kind=ten] path[data-astro-cid-2vof47wv]{stroke:var(--mad-ten)}.mark[data-astro-cid-huccqjp3]{transition:opacity .2s var(--ease-out)}.line[data-astro-cid-huccqjp3]{fill:none;stroke-width:.42;stroke-linecap:butt}.consecutive[data-astro-cid-huccqjp3] .line[data-astro-cid-huccqjp3]{stroke:var(--mad-consecutive)}.double[data-astro-cid-huccqjp3] .line[data-astro-cid-huccqjp3]{stroke:var(--mad-double)}.five[data-astro-cid-huccqjp3] .line[data-astro-cid-huccqjp3]{stroke:var(--mad-five)}.ten[data-astro-cid-huccqjp3] .line[data-astro-cid-huccqjp3]{stroke:var(--mad-ten)}@media(prefers-reduced-motion:reduce){.mark[data-astro-cid-huccqjp3]{transition:none}}.legend[data-astro-cid-zqdgsnpi]{min-width:0}.key-grid[data-astro-cid-zqdgsnpi]{display:grid;grid-template-columns:auto;justify-content:center;gap:.15rem 1.4rem}@media(max-width:600px){.legend[data-astro-cid-zqdgsnpi]{container:rule-key / inline-size}.key-grid[data-astro-cid-zqdgsnpi]{grid-template-columns:repeat(2,auto);column-gap:1rem}.key[data-astro-cid-zqdgsnpi].ok{grid-column:1 / -1;justify-self:center}}@container rule-key (max-width: 14rem){.key-grid[data-astro-cid-zqdgsnpi]{grid-template-columns:auto}}.key[data-astro-cid-zqdgsnpi]{display:inline-flex;align-items:center;gap:.5rem;min-height:1.6rem;white-space:nowrap;padding:0 .15rem;font:inherit;font-size:var(--caption-size);font-variant-numeric:lining-nums proportional-nums;color:var(--ink-3);background:none;border:0;border-radius:2px;-webkit-tap-highlight-color:transparent;transition:color .15s var(--ease-out)}.key[data-astro-cid-zqdgsnpi].ok{margin-bottom:.2rem}.key[data-astro-cid-zqdgsnpi] svg[data-astro-cid-zqdgsnpi]{flex:none;width:1.3rem;height:1.3rem;overflow:visible;transition:opacity .15s var(--ease-out)}.allowed[data-astro-cid-zqdgsnpi]{fill:var(--mad-allowed);fill-opacity:var(--mad-allowed-fill-opacity, .6)}.key[data-astro-cid-zqdgsnpi][aria-pressed=true],[data-isolate=ok] .key[data-astro-cid-zqdgsnpi][data-rule=ok],[data-isolate=consecutive] .key[data-astro-cid-zqdgsnpi][data-rule=consecutive],[data-isolate=double] .key[data-astro-cid-zqdgsnpi][data-rule=double],[data-isolate=five] .key[data-astro-cid-zqdgsnpi][data-rule=five],[data-isolate=ten] .key[data-astro-cid-zqdgsnpi][data-rule=ten]{color:var(--ink-1)}[data-isolate] .key[data-astro-cid-zqdgsnpi] svg[data-astro-cid-zqdgsnpi]{opacity:.35}[data-isolate=ok] .key[data-astro-cid-zqdgsnpi][data-rule=ok] svg[data-astro-cid-zqdgsnpi],[data-isolate=consecutive] .key[data-astro-cid-zqdgsnpi][data-rule=consecutive] svg[data-astro-cid-zqdgsnpi],[data-isolate=double] .key[data-astro-cid-zqdgsnpi][data-rule=double] svg[data-astro-cid-zqdgsnpi],[data-isolate=five] .key[data-astro-cid-zqdgsnpi][data-rule=five] svg[data-astro-cid-zqdgsnpi],[data-isolate=ten] .key[data-astro-cid-zqdgsnpi][data-rule=ten] svg[data-astro-cid-zqdgsnpi]{opacity:1}.key[data-astro-cid-zqdgsnpi][role=button]{cursor:pointer}.key[data-astro-cid-zqdgsnpi]:focus-visible{outline:2px solid var(--ink-1);outline-offset:3px}@media(hover:hover){.key[data-astro-cid-zqdgsnpi][role=button]:hover{color:var(--ink-1)}}@media(pointer:coarse){.key[data-astro-cid-zqdgsnpi][role=button],html.js .key[data-astro-cid-zqdgsnpi]{min-height:44px}.key[data-astro-cid-zqdgsnpi][role=button].ok,html.js .key[data-astro-cid-zqdgsnpi].ok{margin-bottom:0}}@media(prefers-reduced-motion:reduce){.key[data-astro-cid-zqdgsnpi],.key[data-astro-cid-zqdgsnpi] svg[data-astro-cid-zqdgsnpi]{transition:none}}.adjacency[data-astro-cid-vlnujm6e]{display:grid;grid-template-columns:minmax(0,1fr);grid-template-areas:"list" "matrix" "key" "cap"}.panels[data-astro-cid-vlnujm6e]{display:contents}.list-panel[data-astro-cid-vlnujm6e]{grid-area:list}.matrix-panel[data-astro-cid-vlnujm6e]{grid-area:matrix}figcaption[data-astro-cid-vlnujm6e]{grid-area:cap}.list-panel[data-astro-cid-vlnujm6e]{margin-bottom:var(--step-5)}.adjacency[data-astro-cid-vlnujm6e]>.legend{grid-area:key;margin-top:var(--step-4)}@media(min-width:601px){.adjacency[data-astro-cid-vlnujm6e]{grid-template-columns:minmax(0,1fr) minmax(0,1fr);grid-template-rows:auto 1fr auto;column-gap:var(--step-6);grid-template-areas:"list matrix" "key matrix" "cap cap"}.list-panel[data-astro-cid-vlnujm6e]{margin-bottom:0}.adjacency[data-astro-cid-vlnujm6e]>.legend{align-self:start;justify-self:start;margin-top:calc(var(--key-drop) - var(--step-2) - 1.4 * var(--caption-size))}}.panel[data-astro-cid-vlnujm6e]{display:flex;flex-direction:column;gap:var(--step-2);min-width:0}.matrix-wrap[data-astro-cid-vlnujm6e]{position:relative}.letter-b[data-astro-cid-vlnujm6e]{position:absolute;top:var(--b-top);left:var(--b-left);transform:translate(-50%,-50%);pointer-events:none}svg[data-astro-cid-vlnujm6e]{display:block;width:100%;height:auto;font-family:var(--mad-digits);font-variant-numeric:lining-nums tabular-nums;touch-action:manipulation;-webkit-tap-highlight-color:transparent}.adjacency[data-astro-cid-vlnujm6e][data-live] [data-astro-cid-vlnujm6e][data-key]{cursor:pointer}.rh[data-astro-cid-vlnujm6e],.cell[data-astro-cid-vlnujm6e]{outline:none}.hit[data-astro-cid-vlnujm6e]{fill:transparent;stroke:transparent;stroke-width:1px;vector-effect:non-scaling-stroke}.cell[data-astro-cid-vlnujm6e].lit .hit[data-astro-cid-vlnujm6e]{stroke:var(--ink-1)}[data-astro-cid-vlnujm6e]:is(.cell,.rh):focus-visible .hit[data-astro-cid-vlnujm6e]{stroke:var(--ink-1);stroke-width:2px}.row-band[data-astro-cid-vlnujm6e],.col-band[data-astro-cid-vlnujm6e]{fill:transparent;transition:fill .15s var(--ease-out)}.col-n[data-astro-cid-vlnujm6e],.row-n[data-astro-cid-vlnujm6e]{fill:var(--ink-4);font-size:4.4px;text-anchor:middle;transition:fill .15s var(--ease-out)}.row-n[data-astro-cid-vlnujm6e]{fill:var(--ink-2);pointer-events:none}.entry[data-astro-cid-vlnujm6e]{fill:var(--ink-1);font-size:5.4px;text-anchor:middle;pointer-events:none;transition:fill .15s var(--ease-out)}.rule-v[data-astro-cid-vlnujm6e]{stroke:var(--rule-strong);stroke-width:1px;vector-effect:non-scaling-stroke}.grid[data-astro-cid-vlnujm6e],.lattice[data-astro-cid-vlnujm6e]{fill:none;stroke:var(--rule);stroke-width:1px;vector-effect:non-scaling-stroke}.on[data-astro-cid-vlnujm6e]{fill:var(--mad-allowed);fill-opacity:var(--mad-allowed-fill-opacity, .6);transition:fill-opacity .2s var(--ease-out)}.adjacency[data-astro-cid-vlnujm6e][data-isolate=ok] .on[data-astro-cid-vlnujm6e]{fill-opacity:.9}.adjacency[data-astro-cid-vlnujm6e][data-isolate]:not([data-isolate=ok]) .on[data-astro-cid-vlnujm6e]{fill-opacity:.16}.rm[data-astro-cid-vlnujm6e],.rule-line[data-astro-cid-vlnujm6e]{opacity:0;pointer-events:none;transition:opacity .2s var(--ease-out)}.rule-line[data-astro-cid-vlnujm6e]{fill:none;stroke-width:.45;stroke-linecap:round}.rule-line[data-astro-cid-vlnujm6e].consecutive{stroke:var(--mad-consecutive)}.rule-line[data-astro-cid-vlnujm6e].double{stroke:var(--mad-double)}.rule-line[data-astro-cid-vlnujm6e].five{stroke:var(--mad-five)}.rule-line[data-astro-cid-vlnujm6e].ten{stroke:var(--mad-ten)}.bar-edge[data-astro-cid-vlnujm6e]{fill:none;stroke:transparent;stroke-width:1px;vector-effect:non-scaling-stroke;transition:stroke .15s var(--ease-out)}.axis-label[data-astro-cid-vlnujm6e]{fill:var(--ink-3);font-family:var(--font-body);font-style:italic;font-size:5.6px;text-anchor:middle}@media(max-width:600px){.axis-label[data-astro-cid-vlnujm6e]{font-size:4.2px}}.baseline[data-astro-cid-vlnujm6e]{stroke:var(--rule-strong);stroke-width:1px;vector-effect:non-scaling-stroke}@media(max-width:600px){.panel[data-astro-cid-vlnujm6e] svg[data-astro-cid-vlnujm6e]{max-width:22rem;margin-inline:auto}}.adjacency[data-astro-cid-vlnujm6e] .marks .hatch{fill:none;stroke-width:.42;stroke-linecap:butt}.adjacency[data-astro-cid-vlnujm6e] .rm.consecutive .hatch{stroke:var(--mad-consecutive)}.adjacency[data-astro-cid-vlnujm6e] .rm.double .hatch{stroke:var(--mad-double)}.adjacency[data-astro-cid-vlnujm6e] .rm.five .hatch{stroke:var(--mad-five)}.adjacency[data-astro-cid-vlnujm6e] .rm.ten .hatch{stroke:var(--mad-ten)}.ghost[data-astro-cid-vlnujm6e]{opacity:0}.is-armed[data-astro-cid-vlnujm6e] .drop[data-astro-cid-vlnujm6e]{opacity:var(--mad-slot-opacity)}@media print{.is-armed[data-astro-cid-vlnujm6e] .drop[data-astro-cid-vlnujm6e]{opacity:1}}.beat[data-astro-cid-vlnujm6e]{fill:var(--mad-band);opacity:0;pointer-events:none}.hist-box[data-astro-cid-vlnujm6e]{position:absolute;left:0;right:0;pointer-events:none}@media(prefers-reduced-motion:reduce){.row-band[data-astro-cid-vlnujm6e],.col-band[data-astro-cid-vlnujm6e],.col-n[data-astro-cid-vlnujm6e],.row-n[data-astro-cid-vlnujm6e],.entry[data-astro-cid-vlnujm6e],.on[data-astro-cid-vlnujm6e],.rm[data-astro-cid-vlnujm6e],.rule-line[data-astro-cid-vlnujm6e],.bar-edge[data-astro-cid-vlnujm6e]{transition:none}}.friend-graph[data-astro-cid-xgrioptu]{display:grid;grid-template-columns:minmax(0,1fr);grid-template-areas:"circle" "la" "key" "arcs" "lb" "cap"}.art[data-astro-cid-xgrioptu]{display:contents}.circle[data-astro-cid-xgrioptu]{grid-area:circle}.arcs[data-astro-cid-xgrioptu]{grid-area:arcs;margin-top:var(--step-5)}.la[data-astro-cid-xgrioptu]{grid-area:la;margin-top:var(--step-2)}.lb[data-astro-cid-xgrioptu]{grid-area:lb;margin-top:var(--step-2)}figcaption[data-astro-cid-xgrioptu]{grid-area:cap}.friend-graph[data-astro-cid-xgrioptu]>.legend{grid-area:key;margin-top:var(--step-4)}@media(min-width:601px){.friend-graph[data-astro-cid-xgrioptu]{grid-template-columns:minmax(0,1fr) auto;column-gap:var(--step-4);grid-template-areas:"circle key" "la ." "arcs arcs" "lb lb" "cap cap"}.friend-graph[data-astro-cid-xgrioptu]>.legend{align-self:start;justify-self:end;margin-top:0}}.art[data-astro-cid-xgrioptu] svg[data-astro-cid-xgrioptu]{display:block;width:100%;height:auto;font-family:var(--mad-digits);font-variant-numeric:lining-nums tabular-nums;touch-action:manipulation;-webkit-tap-highlight-color:transparent}.arc[data-astro-cid-xgrioptu]{fill:none}.farc[data-astro-cid-xgrioptu]{fill:none;stroke-width:1px;vector-effect:non-scaling-stroke;opacity:.7;transition:opacity .2s var(--ease-out)}.farc[data-astro-cid-xgrioptu].consecutive{stroke:var(--mad-consecutive)}.farc[data-astro-cid-xgrioptu].double{stroke:var(--mad-double)}.farc[data-astro-cid-xgrioptu].five{stroke:var(--mad-five)}.farc[data-astro-cid-xgrioptu].ten{stroke:var(--mad-ten)}.axis[data-astro-cid-xgrioptu]{stroke:var(--rule-strong);stroke-width:1px;vector-effect:non-scaling-stroke}.edge[data-astro-cid-xgrioptu]{stroke:var(--ink-4);stroke-width:1px;vector-effect:non-scaling-stroke;transition:stroke .2s var(--ease-out),opacity .2s var(--ease-out)}.node[data-astro-cid-xgrioptu]{outline:none}.friend-graph[data-astro-cid-xgrioptu][data-live] .node[data-astro-cid-xgrioptu]{cursor:pointer}.hit[data-astro-cid-xgrioptu]{fill:transparent;r:5px;stroke:transparent}.node[data-astro-cid-xgrioptu]:focus-visible .hit[data-astro-cid-xgrioptu]{stroke:var(--ink-1);stroke-width:1.5px;vector-effect:non-scaling-stroke}.disc[data-astro-cid-xgrioptu]{r:3.8px;fill:var(--node-fill, var(--bg-black));stroke:var(--node-stroke, var(--ink-3));stroke-width:1px;vector-effect:non-scaling-stroke;transition:fill .2s var(--ease-out),stroke .2s var(--ease-out)}.node[data-astro-cid-xgrioptu][aria-pressed=true] .disc[data-astro-cid-xgrioptu]{stroke-width:2px}.node[data-astro-cid-xgrioptu] text[data-astro-cid-xgrioptu]{fill:var(--node-ink, var(--ink-1));font-size:4.6px;text-anchor:middle;pointer-events:none;transition:fill .2s var(--ease-out)}@media(min-width:768px){.disc[data-astro-cid-xgrioptu]{r:3.2px}.node[data-astro-cid-xgrioptu] text[data-astro-cid-xgrioptu]{font-size:3.7px}}@media(pointer:coarse){.hit[data-astro-cid-xgrioptu]{r:7.5px}}@media(prefers-reduced-motion:reduce){.edge[data-astro-cid-xgrioptu],.farc[data-astro-cid-xgrioptu],.disc[data-astro-cid-xgrioptu],.node[data-astro-cid-xgrioptu] text[data-astro-cid-xgrioptu]{transition:none}}.plate[data-astro-cid-el4oadqd]{position:relative;margin-inline:auto}.win-hit[data-astro-cid-el4oadqd]{display:none;position:absolute;right:-10px;cursor:ns-resize;touch-action:none;-webkit-tap-highlight-color:transparent;transition:transform .15s var(--ease-out)}.nine-twos[data-thirds] .win-hit{display:block}.nine-twos .win-hit.is-dragging{transition:none}svg[data-astro-cid-el4oadqd]{display:block;width:100%;height:auto;font-family:var(--mad-digits);font-variant-numeric:lining-nums tabular-nums;touch-action:manipulation;-webkit-tap-highlight-color:transparent}.ring[data-astro-cid-el4oadqd]{fill:var(--mad-cell)}.cell[data-astro-cid-el4oadqd]{fill:#000;outline:none;transition:fill .15s var(--ease-out)}.cell[data-astro-cid-el4oadqd][role=button]{cursor:pointer}.cell[data-astro-cid-el4oadqd]:focus-visible{stroke:var(--ink-1);stroke-width:2px;vector-effect:non-scaling-stroke}.nine-twos .cell.blocked{fill:#ffffff24}@media(hover:hover){.nine-twos .cell[role=button]:not(.clash):hover{fill:#ffffff14}.nine-twos .cell.blocked[role=button]:hover{fill:#fff3}}.lines[data-astro-cid-el4oadqd]{fill:none;stroke:var(--mad-line);stroke-width:.5px;vector-effect:non-scaling-stroke;pointer-events:none}.edge[data-astro-cid-el4oadqd]{fill:none;stroke:var(--rule-strong);stroke-width:1px;vector-effect:non-scaling-stroke;pointer-events:none}.frame[data-astro-cid-el4oadqd]{fill:none;stroke:var(--ink-ornament);stroke-width:1px;vector-effect:non-scaling-stroke;pointer-events:none}.boxes[data-astro-cid-el4oadqd],.twos[data-astro-cid-el4oadqd],.coords[data-astro-cid-el4oadqd],.cage[data-astro-cid-el4oadqd]{pointer-events:none}.cage[data-astro-cid-el4oadqd] rect[data-astro-cid-el4oadqd]{fill:none;stroke:var(--ink-3);stroke-width:1px;stroke-dasharray:var(--mad-cage-dash);vector-effect:non-scaling-stroke}.cage[data-astro-cid-el4oadqd] text[data-astro-cid-el4oadqd]{fill:var(--ink-2);font-size:2.65px;text-anchor:end}.nine-twos .twos text{fill:var(--zimaBlue);font-size:6.4px;text-anchor:middle}.nine-twos .twos text.clash{fill:var(--mad-error)}.nine-twos .twos .clash-ring{fill:url(#nine-twos-hatch);fill-rule:evenodd;stroke:var(--ink-3);stroke-width:.5px;vector-effect:non-scaling-stroke}.boxes[data-astro-cid-el4oadqd]{opacity:0;transition:opacity .15s var(--ease-out)}.boxes[data-astro-cid-el4oadqd].on{opacity:1}.nine-twos .boxes rect{fill:none;stroke:var(--mad-box-ink);stroke-width:var(--mad-box-stroke);vector-effect:non-scaling-stroke}.coords[data-astro-cid-el4oadqd] text[data-astro-cid-el4oadqd]{fill:var(--mad-coord-ink);text-anchor:middle}.dead-mark[data-astro-cid-el4oadqd]{fill:url(#nine-twos-hatch-open);stroke:var(--ink-1);stroke-width:.5px;vector-effect:non-scaling-stroke;visibility:hidden}.nine-twos .coord.dead text{fill:var(--ink-1)}.nine-twos .coord.dead .dead-mark{visibility:visible}.thirds[data-astro-cid-el4oadqd]{display:none;pointer-events:none}.nine-twos[data-thirds] .thirds{display:inline}.lattice[data-astro-cid-el4oadqd]{fill:none;stroke:var(--ink-ornament);stroke-width:1px;vector-effect:non-scaling-stroke}.window[data-astro-cid-el4oadqd]{transition:transform .15s var(--ease-out)}.nine-twos .window.is-dragging{transition:none}.win-third[data-astro-cid-el4oadqd]{fill:none}.nine-twos .win-third.bad{fill:url(#nine-twos-hatch-open)}.win-frame[data-astro-cid-el4oadqd]{fill:none;stroke:var(--ink-2);stroke-width:1px;vector-effect:non-scaling-stroke}.win-handle[data-astro-cid-el4oadqd]{fill:#ffffff0f;stroke:var(--ink-2);stroke-width:1px;vector-effect:non-scaling-stroke}.win-grip[data-astro-cid-el4oadqd]{fill:none;stroke:var(--ink-2);stroke-width:1px;vector-effect:non-scaling-stroke}html:not(.js) .bar[data-astro-cid-el4oadqd]{display:none}.bar[data-astro-cid-el4oadqd]{display:grid;justify-items:center;gap:var(--step-2);margin:var(--step-4) 0 0}.status[data-astro-cid-el4oadqd]{justify-self:stretch}.actions[data-astro-cid-el4oadqd]{display:flex;flex-wrap:wrap;justify-content:center;gap:var(--step-2)}button[data-astro-cid-el4oadqd]{min-height:2.25rem;padding:0 .8rem;font:inherit;font-size:.95rem;color:var(--ink-2);background:#000;border:1px solid var(--rule-strong);border-radius:2px;cursor:pointer;transition:color .15s var(--ease-out),border-color .15s var(--ease-out)}.answer[data-astro-cid-el4oadqd]{display:inline-grid;align-items:center}.lbl[data-astro-cid-el4oadqd]{grid-area:1 / 1}.lbl[data-astro-cid-el4oadqd].other,.nine-twos .answer[data-other] .lbl.first{visibility:hidden}.nine-twos .answer[data-other] .lbl.other{visibility:visible}button[data-astro-cid-el4oadqd][aria-pressed=true]{color:var(--ink-1);border-color:var(--ink-3)}button[data-astro-cid-el4oadqd]:focus-visible{outline:2px solid var(--ink-1);outline-offset:2px}@media(hover:hover){button[data-astro-cid-el4oadqd]:hover{color:var(--ink-1);border-color:var(--ink-4)}}@media(pointer:coarse){button[data-astro-cid-el4oadqd]{min-height:44px}}@media(max-width:479px){.actions[data-astro-cid-el4oadqd]{gap:.375rem}button[data-astro-cid-el4oadqd]{padding:0 .55rem;font-size:.9rem}}@media(prefers-reduced-motion:reduce){.cell[data-astro-cid-el4oadqd],button[data-astro-cid-el4oadqd],.window[data-astro-cid-el4oadqd],.win-hit[data-astro-cid-el4oadqd],.boxes[data-astro-cid-el4oadqd]{transition:none}}.chart[data-astro-cid-rucscjs3]{display:grid;grid-template-columns:max-content minmax(0,1fr);column-gap:var(--step-4);font-size:var(--caption-size);line-height:1.5;font-variant-numeric:lining-nums proportional-nums}.ref[data-astro-cid-rucscjs3]{position:relative;height:1.5em;margin:0;color:var(--ink-3)}.ref[data-astro-cid-rucscjs3] span[data-astro-cid-rucscjs3]{position:absolute;right:0;white-space:nowrap}.lab[data-astro-cid-rucscjs3]{display:flex;align-items:center;gap:.45rem;height:2.4rem;margin:0;color:var(--ink-2);white-space:nowrap;text-align:left;text-indent:0;hyphens:none}.lab[data-astro-cid-rucscjs3] svg[data-astro-cid-rucscjs3]{flex:none;width:1.05rem;height:1.05rem;overflow:visible}.glyph-slot[data-astro-cid-rucscjs3]{flex:none;width:1.05rem}.plot[data-astro-cid-rucscjs3]{position:relative;height:2.4rem}.grid[data-astro-cid-rucscjs3]{position:absolute;top:0;bottom:0;width:1px;background:var(--rule-strong);opacity:.45}.grid[data-astro-cid-rucscjs3].end{right:0;background:var(--ink-4);opacity:1}.track[data-astro-cid-rucscjs3]{position:absolute;left:0;right:0;top:50%;height:1px;background:var(--rule-strong)}.bar[data-astro-cid-rucscjs3]{position:absolute;left:0;top:calc(50% - 3px);height:6px;background:color-mix(in srgb,#fff 64%,#000)}.bar[data-astro-cid-rucscjs3].valid{background:var(--mad-allowed)}.val[data-astro-cid-rucscjs3]{position:absolute;top:50%;padding-left:.45rem;line-height:1;color:var(--ink-3);white-space:nowrap;transform:translateY(-50%)}.val[data-astro-cid-rucscjs3].valid{color:var(--mad-allowed)}.axis[data-astro-cid-rucscjs3]{position:relative;height:1.6em;margin-top:var(--step-1);color:var(--ink-4)}.axis[data-astro-cid-rucscjs3] span[data-astro-cid-rucscjs3]{position:absolute;top:0;white-space:nowrap;transform:translate(-50%)}.axis[data-astro-cid-rucscjs3] span[data-astro-cid-rucscjs3]:first-child{transform:none}@media(max-width:420px){.axis[data-astro-cid-rucscjs3] .odd[data-astro-cid-rucscjs3]{visibility:hidden}}.axis[data-astro-cid-rucscjs3] sup[data-astro-cid-rucscjs3]{position:relative;top:-.5em;margin-left:.04em;font-size:.68em;vertical-align:0}@media print{.bar[data-astro-cid-rucscjs3]{background:#737373}.grid[data-astro-cid-rucscjs3].end{background:#00000080}}.plate[data-astro-cid-s3eu2d6m]{margin-inline:auto}svg[data-astro-cid-s3eu2d6m]{display:block;width:100%;height:auto;font-family:var(--mad-digits);font-variant-numeric:lining-nums tabular-nums;touch-action:manipulation;-webkit-tap-highlight-color:transparent;outline:none}.row-voices[data-astro-cid-s3eu2d6m][data-live] svg[data-astro-cid-s3eu2d6m]{cursor:pointer}svg[data-astro-cid-s3eu2d6m]:focus-visible .frame[data-astro-cid-s3eu2d6m]{stroke:var(--ink-1);stroke-width:2px}.tint[data-astro-cid-s3eu2d6m].a{fill:var(--mad-tint-a)}.tint[data-astro-cid-s3eu2d6m].b{fill:var(--mad-tint-b)}.row-band[data-astro-cid-s3eu2d6m],.col-tab[data-astro-cid-s3eu2d6m]{fill:transparent}.col-band[data-astro-cid-s3eu2d6m]{fill:transparent;pointer-events:none}.lines[data-astro-cid-s3eu2d6m]{fill:none;stroke:var(--mad-line);stroke-width:.5px;vector-effect:non-scaling-stroke;pointer-events:none}.frame[data-astro-cid-s3eu2d6m]{fill:none;stroke:var(--rule-strong);stroke-width:1px;vector-effect:non-scaling-stroke;pointer-events:none}.box[data-astro-cid-s3eu2d6m]{fill:none;stroke:var(--mad-box-ink);stroke-width:var(--mad-box-stroke);vector-effect:non-scaling-stroke;pointer-events:none}.set[data-astro-cid-s3eu2d6m]{fill:var(--ink-3);font-size:5.2px;font-style:italic;text-anchor:middle;pointer-events:none;transition:fill .2s var(--ease-out)}.by-row[data-astro-cid-s3eu2d6m],.by-col[data-astro-cid-s3eu2d6m]{transition:opacity .2s var(--ease-out),visibility .2s}.by-col[data-astro-cid-s3eu2d6m],.row-voices[data-astro-cid-s3eu2d6m][data-k^=c] .by-row[data-astro-cid-s3eu2d6m]{opacity:0;visibility:hidden}.row-voices[data-astro-cid-s3eu2d6m][data-k^=c] .by-col[data-astro-cid-s3eu2d6m]{opacity:1;visibility:visible}.row-n[data-astro-cid-s3eu2d6m],.col-n[data-astro-cid-s3eu2d6m]{fill:var(--mad-coord-ink);font-size:3.6px;text-anchor:middle;transition:fill .15s var(--ease-out)}.col-n[data-astro-cid-s3eu2d6m]{transform:translateY(calc((var(--n-max) - var(--n)) * 1px))}.box-n[data-astro-cid-s3eu2d6m]{fill:var(--ink-3);font-family:var(--font-body);font-style:italic;font-size:calc(var(--n) * 1px);pointer-events:none}.seg[data-astro-cid-s3eu2d6m]{display:none;pointer-events:none}.seg-frame[data-astro-cid-s3eu2d6m]{fill:none;stroke-width:1.5px;vector-effect:non-scaling-stroke}.seg-frame[data-astro-cid-s3eu2d6m].a{stroke:var(--ink-1)}.seg-frame[data-astro-cid-s3eu2d6m].b{stroke:var(--zimaBlue)}.seg-frame[data-astro-cid-s3eu2d6m].partner{stroke-width:1px;stroke-dasharray:3 2.5}@media(hover:hover){.row-voices[data-astro-cid-s3eu2d6m][data-live] .row-hit[data-astro-cid-s3eu2d6m]:hover .row-band[data-astro-cid-s3eu2d6m]{fill:#ffffff0a}.row-voices[data-astro-cid-s3eu2d6m][data-live] .col-hit[data-astro-cid-s3eu2d6m]:hover .col-n[data-astro-cid-s3eu2d6m]{fill:var(--ink-2)}}.readouts[data-astro-cid-s3eu2d6m]{display:grid;grid-template-columns:minmax(0,1fr) auto max-content minmax(0,max-content) minmax(0,1fr);align-items:baseline;margin-top:var(--step-4);font-size:var(--caption-size);line-height:1.6;font-variant-numeric:lining-nums proportional-nums}.readout[data-astro-cid-s3eu2d6m],.slot[data-astro-cid-s3eu2d6m]{display:contents}.readout[data-astro-cid-s3eu2d6m][hidden]{display:contents;visibility:hidden}.head[data-astro-cid-s3eu2d6m]{grid-row:1;grid-column:1 / -1}.swatch[data-astro-cid-s3eu2d6m]{grid-column:2;align-self:center;width:.75rem;height:.75rem;margin-right:.5rem;border:1px solid var(--ink-2)}.swatch[data-astro-cid-s3eu2d6m].a{background:var(--mad-swatch-a)}.swatch[data-astro-cid-s3eu2d6m].b{background:var(--mad-swatch-b);border-color:var(--zimaBlue)}.part[data-astro-cid-s3eu2d6m]{grid-column:3;margin-right:var(--step-3);font-style:italic;color:var(--ink-2);white-space:nowrap}.ds[data-astro-cid-s3eu2d6m]{display:grid;grid-column:4;grid-template-columns:repeat(9,minmax(0,1.15em));font-size:1rem;color:var(--ink-1);font-variant-numeric:lining-nums tabular-nums;white-space:nowrap;text-align:center}.ds[data-astro-cid-s3eu2d6m] .off[data-astro-cid-s3eu2d6m]{visibility:hidden}.slot[data-astro-cid-s3eu2d6m][data-slot="0"]>[data-astro-cid-s3eu2d6m]{grid-row:2}.slot[data-astro-cid-s3eu2d6m][data-slot="1"]>[data-astro-cid-s3eu2d6m]{grid-row:3}.slot[data-astro-cid-s3eu2d6m][data-slot="2"]>[data-astro-cid-s3eu2d6m]{grid-row:4}@media(min-width:600px){.part[data-astro-cid-s3eu2d6m]{margin-right:var(--step-5)}.ds[data-astro-cid-s3eu2d6m]{grid-template-columns:repeat(9,minmax(0,1.4em))}}@media(prefers-reduced-motion:reduce){.set[data-astro-cid-s3eu2d6m],.by-row[data-astro-cid-s3eu2d6m],.by-col[data-astro-cid-s3eu2d6m],.row-n[data-astro-cid-s3eu2d6m],.col-n[data-astro-cid-s3eu2d6m]{transition:none}}.cage-ledger[data-astro-cid-jc4x73e6]{display:grid;width:fit-content;max-width:100%;margin-inline:auto}.ledger[data-astro-cid-jc4x73e6]{margin-top:var(--ledger-top, 0);border:0;border-collapse:separate;border-spacing:0}.ledger[data-astro-cid-jc4x73e6] [data-astro-cid-jc4x73e6]:is(th,td){box-sizing:border-box;height:var(--ledger-row, auto);padding:var(--ledger-pad, .3rem) .7rem}.ledger[data-astro-cid-jc4x73e6] tr[data-astro-cid-jc4x73e6]:first-child>[data-astro-cid-jc4x73e6]{box-shadow:inset 0 1px var(--ink-ornament)}.ledger[data-astro-cid-jc4x73e6] tr[data-astro-cid-jc4x73e6]:last-child>[data-astro-cid-jc4x73e6]{box-shadow:inset 0 -1px var(--ink-ornament)}.ledger[data-astro-cid-jc4x73e6] .mad-num[data-astro-cid-jc4x73e6]{font-size:1.1rem}.is-kept[data-astro-cid-jc4x73e6] .mad-why[data-astro-cid-jc4x73e6]{color:var(--ink-1)}svg[data-astro-cid-is2xhrjp]{display:block;width:100%;height:auto;font-family:var(--mad-digits);font-variant-numeric:lining-nums tabular-nums}@media(min-width:768px){svg[data-astro-cid-is2xhrjp]{max-width:55%;margin-inline:auto}}.cells[data-astro-cid-is2xhrjp] rect[data-astro-cid-is2xhrjp]{fill:none;stroke:var(--mad-line);stroke-width:.5px;vector-effect:non-scaling-stroke;opacity:0;transition:opacity .24s var(--ease-out)}.box-graph[data-folded] .cells[data-astro-cid-is2xhrjp] rect[data-astro-cid-is2xhrjp]{opacity:1}.edge[data-astro-cid-is2xhrjp]{vector-effect:non-scaling-stroke;stroke-linecap:round}.edge[data-astro-cid-is2xhrjp].box{stroke:var(--mad-allowed);stroke-width:2px}.edge[data-astro-cid-is2xhrjp].spare{stroke:var(--ink-4);stroke-width:1px;opacity:.35}.disc[data-astro-cid-is2xhrjp]{fill:#000;stroke:var(--ink-3);stroke-width:1px;vector-effect:non-scaling-stroke}.node[data-astro-cid-is2xhrjp] text[data-astro-cid-is2xhrjp]{fill:var(--ink-1);font-size:4.6px;text-anchor:middle}@media(min-width:768px){.disc[data-astro-cid-is2xhrjp]{r:3.2px}.node[data-astro-cid-is2xhrjp] text[data-astro-cid-is2xhrjp]{font-size:3.7px}}.actions[data-astro-cid-is2xhrjp]{display:flex;flex-wrap:wrap;justify-content:center;gap:var(--step-2);margin-top:var(--step-3)}button[data-astro-cid-is2xhrjp]{min-height:2.25rem;padding:0 .8rem;font:inherit;font-size:.95rem;color:var(--ink-2);background:#000;border:1px solid var(--rule-strong);border-radius:2px;cursor:pointer;touch-action:manipulation;-webkit-tap-highlight-color:transparent;transition:color .15s var(--ease-out),border-color .15s var(--ease-out),opacity .15s var(--ease-out)}button[data-astro-cid-is2xhrjp]:disabled{opacity:.4;cursor:default}button[data-astro-cid-is2xhrjp][aria-pressed=true]{color:var(--ink-1);border-color:var(--ink-3)}button[data-astro-cid-is2xhrjp]:focus-visible{outline:2px solid var(--ink-1);outline-offset:2px}@media(hover:hover){button[data-astro-cid-is2xhrjp]:not(:disabled):hover{color:var(--ink-1);border-color:var(--ink-4)}}@media(pointer:coarse){button[data-astro-cid-is2xhrjp]{min-height:44px}}@media(max-width:479px){.actions[data-astro-cid-is2xhrjp]{gap:.4rem}button[data-astro-cid-is2xhrjp]{padding:0 .6rem}}@media(prefers-reduced-motion:reduce){.cells[data-astro-cid-is2xhrjp] rect[data-astro-cid-is2xhrjp],button[data-astro-cid-is2xhrjp]{transition:none}}.mad-veil[data-astro-cid-7nnklt3h]{display:grid;position:relative}.mad-veil[data-astro-cid-7nnklt3h]>[data-astro-cid-7nnklt3h]{grid-area:1 / 1}.mad-veil-art[data-astro-cid-7nnklt3h]{min-width:0;outline:none;transition:opacity .24s var(--ease-out)}.mad-veil[data-astro-cid-7nnklt3h][data-veiled]:not([data-veil-skip]) .mad-veil-art[data-astro-cid-7nnklt3h]{filter:blur(var(--mad-veil-blur));opacity:.45;pointer-events:none;user-select:none;-webkit-user-select:none}.mad-veil[data-astro-cid-7nnklt3h].is-lifting .mad-veil-art[data-astro-cid-7nnklt3h]{animation:mad-veil-lift .24s var(--ease-out) both;will-change:opacity}@keyframes mad-veil-lift{0%{opacity:.15}to{opacity:1}}.mad-veil-cover[data-astro-cid-7nnklt3h]{display:grid;place-items:center;opacity:0;visibility:hidden;pointer-events:none;transition:opacity .2s var(--ease-out),visibility 0s linear .2s}.mad-veil[data-astro-cid-7nnklt3h][data-veiled]:not([data-veil-skip]) .mad-veil-cover[data-astro-cid-7nnklt3h]{opacity:1;visibility:visible;transition-delay:0s}.mad-veil-btn[data-astro-cid-7nnklt3h]{--crop: rgb(255 255 255 / .62);min-height:44px;padding:0 1em;border:0;border-radius:0;background:linear-gradient(var(--crop),var(--crop)) left top / 7px 1px no-repeat,linear-gradient(var(--crop),var(--crop)) left top / 1px 7px no-repeat,linear-gradient(var(--crop),var(--crop)) right top / 7px 1px no-repeat,linear-gradient(var(--crop),var(--crop)) right top / 1px 7px no-repeat,linear-gradient(var(--crop),var(--crop)) left bottom / 7px 1px no-repeat,linear-gradient(var(--crop),var(--crop)) left bottom / 1px 7px no-repeat,linear-gradient(var(--crop),var(--crop)) right bottom / 7px 1px no-repeat,linear-gradient(var(--crop),var(--crop)) right bottom / 1px 7px no-repeat;color:var(--ink-1);font-family:var(--font-body);font-size:var(--meta-size);font-variant-caps:small-caps;letter-spacing:.1em;cursor:pointer;touch-action:manipulation;-webkit-tap-highlight-color:transparent}.mad-veil[data-astro-cid-7nnklt3h][data-veiled]:not([data-veil-skip]) .mad-veil-btn[data-astro-cid-7nnklt3h]{pointer-events:auto}.mad-veil-btn[data-astro-cid-7nnklt3h]:focus-visible{outline:2px solid var(--ink-1);outline-offset:2px}@media(hover:hover){.mad-veil-btn[data-astro-cid-7nnklt3h]:hover{--crop: var(--ink-1)}}.mad-veil[data-astro-cid-7nnklt3h].is-instant .mad-veil-art[data-astro-cid-7nnklt3h],.mad-veil[data-astro-cid-7nnklt3h].is-instant .mad-veil-cover[data-astro-cid-7nnklt3h]{transition:none}@media(prefers-reduced-motion:reduce){.mad-veil-art[data-astro-cid-7nnklt3h],.mad-veil-cover[data-astro-cid-7nnklt3h]{transition:none}.mad-veil[data-astro-cid-7nnklt3h].is-lifting .mad-veil-art[data-astro-cid-7nnklt3h]{animation:none}}.controls[data-astro-cid-7uur4c5r]{display:flex;align-items:center;justify-content:space-between;gap:var(--step-2);margin-bottom:var(--step-4);visibility:hidden}.box-tree[data-astro-cid-7uur4c5r][data-live] .controls[data-astro-cid-7uur4c5r],.box-tree[data-astro-cid-7uur4c5r][data-live] .scrub[data-astro-cid-7uur4c5r]{visibility:visible}.switch[data-astro-cid-7uur4c5r]{display:inline-grid;grid-auto-flow:column;grid-auto-columns:1fr}button[data-astro-cid-7uur4c5r]{position:relative;min-height:2.25rem;padding:0 .8rem;font:inherit;font-size:.95rem;color:var(--ink-2);background:#000;border:1px solid var(--rule-strong);border-radius:2px;cursor:pointer;white-space:nowrap;transition:color .15s var(--ease-out),border-color .15s var(--ease-out)}.switch[data-astro-cid-7uur4c5r] button[data-astro-cid-7uur4c5r]:first-child{border-radius:2px 0 0 2px}.switch[data-astro-cid-7uur4c5r] button[data-astro-cid-7uur4c5r]+button[data-astro-cid-7uur4c5r]{margin-left:-1px;border-radius:0 2px 2px 0}button[data-astro-cid-7uur4c5r][aria-pressed=true]{z-index:1;color:var(--ink-1);border-color:var(--ink-3);cursor:default}button[data-astro-cid-7uur4c5r]:focus-visible{z-index:2;outline:2px solid var(--ink-1);outline-offset:2px}@media(hover:hover){button[data-astro-cid-7uur4c5r]:not([aria-pressed=true]):hover{color:var(--ink-1);border-color:var(--ink-4)}}@media(pointer:coarse){button[data-astro-cid-7uur4c5r]{min-height:44px}}.play[data-astro-cid-7uur4c5r]{display:inline-grid;align-items:center}.lbl[data-astro-cid-7uur4c5r]{grid-area:1 / 1}.l-pause[data-astro-cid-7uur4c5r],.l-step[data-astro-cid-7uur4c5r],.box-tree[data-astro-cid-7uur4c5r][data-playing] .l-play[data-astro-cid-7uur4c5r]{visibility:hidden}.box-tree[data-astro-cid-7uur4c5r][data-playing] .l-pause[data-astro-cid-7uur4c5r]{visibility:visible}.box-tree[data-astro-cid-7uur4c5r][data-reduced] .l-play[data-astro-cid-7uur4c5r]{visibility:hidden}.box-tree[data-astro-cid-7uur4c5r][data-reduced] .l-step[data-astro-cid-7uur4c5r]{visibility:visible}.stage[data-astro-cid-7uur4c5r]{display:grid;grid-template-columns:minmax(0,1fr)}.plate[data-astro-cid-7uur4c5r]{grid-area:1 / 1;position:relative;aspect-ratio:1;contain:layout paint;touch-action:pan-y;-webkit-tap-highlight-color:transparent}.scrub[data-astro-cid-7uur4c5r]{grid-area:2 / 1}.centre[data-astro-cid-7uur4c5r]{grid-area:3 / 1;justify-self:center;width:7.5rem;margin-top:var(--step-4)}.box[data-astro-cid-7uur4c5r]{position:relative}@media(min-width:601px){.centre[data-astro-cid-7uur4c5r]{grid-area:1 / 1;align-self:center;justify-self:stretch;width:auto;margin-top:0;pointer-events:none}.box[data-astro-cid-7uur4c5r]{width:18%;margin-inline:auto}.hole-mark[data-astro-cid-7uur4c5r]{display:none}}@media(max-width:767px){.plate[data-astro-cid-7uur4c5r]{margin-inline:calc(50% - 50vw + 12px)}}@media(min-width:601px)and (max-width:767px){.centre[data-astro-cid-7uur4c5r]{margin-inline:calc(50% - 50vw + 12px)}}.still[data-astro-cid-7uur4c5r],canvas[data-astro-cid-7uur4c5r],.overlay[data-astro-cid-7uur4c5r]{position:absolute;inset:0;display:block;width:100%;height:100%}.overlay[data-astro-cid-7uur4c5r]{overflow:visible}.still[data-astro-cid-7uur4c5r]{pointer-events:none}.box-tree[data-astro-cid-7uur4c5r][data-live] .still[data-astro-cid-7uur4c5r]{visibility:hidden}.overlay[data-astro-cid-7uur4c5r] path[data-astro-cid-7uur4c5r],.overlay[data-astro-cid-7uur4c5r] circle[data-astro-cid-7uur4c5r]{fill:none;vector-effect:non-scaling-stroke}.guides[data-astro-cid-7uur4c5r] circle[data-astro-cid-7uur4c5r]{stroke:var(--ink-ornament);stroke-width:1px;opacity:.22}.guides[data-astro-cid-7uur4c5r] circle[data-astro-cid-7uur4c5r].on{opacity:1}.sect[data-astro-cid-7uur4c5r]{stroke:var(--ink-ornament);stroke-width:1px}.frontier[data-astro-cid-7uur4c5r]{stroke:var(--ink-1);stroke-width:.9px}.frontier[data-astro-cid-7uur4c5r].dense{stroke:var(--ink-3);stroke-width:.6px}.cuts[data-astro-cid-7uur4c5r]{stroke:var(--ink-4);stroke-width:.9px}.dots[data-astro-cid-7uur4c5r]{fill:var(--ink-1)!important}.ok[data-astro-cid-7uur4c5r]{stroke:var(--mad-allowed);stroke-width:1.2px}.path[data-astro-cid-7uur4c5r]{stroke:var(--ink-1);stroke-width:1.6px}.tips[data-astro-cid-7uur4c5r]{fill:var(--mad-allowed)!important}.head[data-astro-cid-7uur4c5r]{fill:#000!important;stroke:var(--ink-1);stroke-width:1.2px;visibility:hidden}.box-tree[data-astro-cid-7uur4c5r][data-head] .head[data-astro-cid-7uur4c5r]{visibility:visible}.hole[data-astro-cid-7uur4c5r]{fill:#000!important;stroke:var(--ink-3);stroke-width:1px}.frontier[data-astro-cid-7uur4c5r].enter,.cuts[data-astro-cid-7uur4c5r].enter,.dots[data-astro-cid-7uur4c5r].enter{opacity:0}.frontier[data-astro-cid-7uur4c5r],.cuts[data-astro-cid-7uur4c5r],.dots[data-astro-cid-7uur4c5r]{transition:opacity .3s var(--ease-out)}.hole-grid[data-astro-cid-7uur4c5r]{stroke:var(--rule-strong);stroke-width:1px}.hole-cell[data-astro-cid-7uur4c5r]{fill:none;stroke:var(--ink-3);stroke-width:1px;stroke-dasharray:2 2;vector-effect:non-scaling-stroke}.box-tree[data-astro-cid-7uur4c5r]:not([data-cell]) .hole-cell[data-astro-cid-7uur4c5r]{visibility:hidden}.num[data-astro-cid-7uur4c5r]{position:absolute;transform:translate(-50%,-50%);font-size:var(--caption-size);line-height:1;color:var(--ink-3);font-variant-numeric:lining-nums;pointer-events:none}.centre[data-astro-cid-7uur4c5r] .board{width:100%}.marks[data-astro-cid-7uur4c5r]{position:absolute;inset:0;width:100%;height:100%;overflow:visible;pointer-events:none}.cell-on[data-astro-cid-7uur4c5r]{fill:none;stroke:var(--ink-3);stroke-width:1px;stroke-dasharray:2 2;vector-effect:non-scaling-stroke}.box-tree[data-astro-cid-7uur4c5r]:not([data-cell]) .cell-on[data-astro-cid-7uur4c5r]{visibility:hidden}.strike[data-astro-cid-7uur4c5r]{fill:none;stroke:var(--ink-2);stroke-width:1px;vector-effect:non-scaling-stroke}.scrub[data-astro-cid-7uur4c5r]{position:relative;margin-top:var(--step-4);visibility:hidden}input[data-astro-cid-7uur4c5r][type=range]{display:block;width:100%;height:20px;margin:0;background:transparent;cursor:pointer;-webkit-appearance:none;appearance:none}input[data-astro-cid-7uur4c5r][type=range]:focus-visible{outline:2px solid var(--ink-1);outline-offset:2px}input[data-astro-cid-7uur4c5r][type=range]::-webkit-slider-runnable-track{height:1px;background:var(--rule-strong)}input[data-astro-cid-7uur4c5r][type=range]::-moz-range-track{height:1px;background:var(--rule-strong)}input[data-astro-cid-7uur4c5r][type=range]::-webkit-slider-thumb{width:11px;height:11px;margin-top:-5px;border:1px solid var(--ink-1);border-radius:50%;background:#000;-webkit-appearance:none;appearance:none}input[data-astro-cid-7uur4c5r][type=range]::-moz-range-thumb{width:11px;height:11px;border:1px solid var(--ink-1);border-radius:50%;background:#000}@media(pointer:coarse){input[data-astro-cid-7uur4c5r][type=range]{height:44px}}.ticks[data-astro-cid-7uur4c5r]{position:absolute;left:5.5px;right:5.5px;top:calc(50% + 4px);height:5px;pointer-events:none}.ticks[data-astro-cid-7uur4c5r] span[data-astro-cid-7uur4c5r]{position:absolute;left:calc(var(--f) * 100%);width:1px;height:5px;background:var(--ink-4)}.depth-ticks[data-astro-cid-7uur4c5r] span[data-astro-cid-7uur4c5r]{background:var(--mad-allowed)}.box-tree[data-astro-cid-7uur4c5r][data-mode=cell] .depth-ticks[data-astro-cid-7uur4c5r],.box-tree[data-astro-cid-7uur4c5r][data-mode=depth] .cell-ticks[data-astro-cid-7uur4c5r]{display:none}.mad-status[data-astro-cid-7uur4c5r]{margin:var(--step-2) 0 0}th[data-astro-cid-7uur4c5r]{font-weight:inherit}@media print{canvas[data-astro-cid-7uur4c5r]{filter:invert(1)}.hole[data-astro-cid-7uur4c5r]{fill:transparent!important}.controls[data-astro-cid-7uur4c5r],.scrub[data-astro-cid-7uur4c5r]{display:none}}@media(prefers-reduced-motion:reduce){button[data-astro-cid-7uur4c5r],.frontier[data-astro-cid-7uur4c5r],.cuts[data-astro-cid-7uur4c5r],.dots[data-astro-cid-7uur4c5r]{transition:none}}.controls[data-astro-cid-ae4qkkq5]{display:flex;align-items:center;justify-content:space-between;margin-bottom:var(--step-4);visibility:hidden}.grid-search[data-astro-cid-ae4qkkq5][data-live] .controls[data-astro-cid-ae4qkkq5]{visibility:visible}.snaps[data-astro-cid-ae4qkkq5]{display:inline-flex;gap:var(--step-1)}button[data-astro-cid-ae4qkkq5]{min-height:2.25rem;padding:0 .8rem;font:inherit;font-size:.95rem;color:var(--ink-2);background:#000;border:1px solid var(--rule-strong);border-radius:2px;cursor:pointer;transition:color .15s var(--ease-out),border-color .15s var(--ease-out)}button[data-astro-cid-ae4qkkq5].icon{display:inline-grid;place-items:center;width:2.25rem;padding:0}button[data-astro-cid-ae4qkkq5].icon svg{display:block}.play[data-astro-cid-ae4qkkq5]{display:inline-grid;align-items:center}.lbl[data-astro-cid-ae4qkkq5]{grid-area:1 / 1}.l-pause[data-astro-cid-ae4qkkq5],.l-step[data-astro-cid-ae4qkkq5],.grid-search[data-astro-cid-ae4qkkq5][data-playing] .l-play[data-astro-cid-ae4qkkq5]{visibility:hidden}.grid-search[data-astro-cid-ae4qkkq5][data-playing] .l-pause[data-astro-cid-ae4qkkq5]{visibility:visible}.grid-search[data-astro-cid-ae4qkkq5][data-reduced] .l-play[data-astro-cid-ae4qkkq5]{visibility:hidden}.grid-search[data-astro-cid-ae4qkkq5][data-reduced] .l-step[data-astro-cid-ae4qkkq5]{visibility:visible}button[data-astro-cid-ae4qkkq5]:focus-visible{outline:2px solid var(--ink-1);outline-offset:2px}@media(hover:hover){button[data-astro-cid-ae4qkkq5]:hover{color:var(--ink-1);border-color:var(--ink-4)}}@media(pointer:coarse){button[data-astro-cid-ae4qkkq5]{min-height:44px}button[data-astro-cid-ae4qkkq5].icon{width:44px}}.strip[data-astro-cid-ae4qkkq5]{display:grid;grid-template-columns:1rem minmax(0,1fr);column-gap:var(--step-2);font-size:var(--caption-size);font-variant-numeric:lining-nums proportional-nums;color:var(--ink-4);outline:none;-webkit-tap-highlight-color:transparent}.grid-search[data-astro-cid-ae4qkkq5][data-live] .strip[data-astro-cid-ae4qkkq5]{cursor:pointer}.strip[data-astro-cid-ae4qkkq5]:focus-visible{outline:2px solid var(--ink-1);outline-offset:4px}@media(max-width:767px){.strip[data-astro-cid-ae4qkkq5]{margin-inline:calc(50% - 50vw + 12px)}}.ruler[data-astro-cid-ae4qkkq5]{position:relative;height:1.7em;margin-bottom:var(--step-1)}.seg[data-astro-cid-ae4qkkq5]{position:absolute;top:0;height:5px;box-sizing:border-box;border-top:1px solid var(--rule-strong);border-left:1px solid var(--rule-strong)}.seg[data-astro-cid-ae4qkkq5].end{border-right:1px solid var(--rule-strong)}.seg-n[data-astro-cid-ae4qkkq5]{position:absolute;top:4px;left:50%;line-height:1.3;color:var(--ink-4);white-space:nowrap;transform:translate(-50%)}.seg[data-astro-cid-ae4qkkq5].end .seg-n[data-astro-cid-ae4qkkq5]{left:auto;right:0;font-style:italic;transform:none}.seg[data-astro-cid-ae4qkkq5].on .seg-n[data-astro-cid-ae4qkkq5]{color:var(--ink-1)}.ylab[data-astro-cid-ae4qkkq5]{position:relative;font-size:var(--caption-size);line-height:1}.ylab[data-astro-cid-ae4qkkq5] span[data-astro-cid-ae4qkkq5]{position:absolute;right:0;transform:translateY(-50%)}.ylab[data-astro-cid-ae4qkkq5] .nine[data-astro-cid-ae4qkkq5]{top:0}.plot[data-astro-cid-ae4qkkq5]{position:relative;height:4.5rem;border-bottom:1px solid var(--rule-strong)}.plot[data-astro-cid-ae4qkkq5] svg[data-astro-cid-ae4qkkq5]{position:absolute;inset:0;width:100%;height:100%;overflow:visible}.area[data-astro-cid-ae4qkkq5]{fill:var(--ink-ornament);opacity:.4}.edge[data-astro-cid-ae4qkkq5]{fill:none;stroke:var(--ink-4);stroke-width:1px;vector-effect:non-scaling-stroke}.plot[data-astro-cid-ae4qkkq5] .nine[data-astro-cid-ae4qkkq5]{fill:none;stroke:var(--ink-ornament);stroke-width:1px;stroke-dasharray:2 3;vector-effect:non-scaling-stroke}.tick[data-astro-cid-ae4qkkq5]{position:absolute;top:-5px;width:1px;height:11px;margin-left:-.5px;background:var(--ink-3);pointer-events:none}.tick[data-astro-cid-ae4qkkq5].solution{background:var(--mad-allowed)}.tick[data-astro-cid-ae4qkkq5].solution:after{content:"";position:absolute;left:-1.5px;top:13px;width:4px;height:4px;border-radius:50%;background:var(--mad-allowed)}.cursor[data-astro-cid-ae4qkkq5]{position:absolute;inset:-9px 0 0;pointer-events:none;transition:transform .24s var(--ease-out)}.cursor[data-astro-cid-ae4qkkq5] span[data-astro-cid-ae4qkkq5]{position:absolute;top:0;bottom:0;left:-.5px;width:1px;background:var(--ink-1)}.cursor[data-astro-cid-ae4qkkq5].solution span[data-astro-cid-ae4qkkq5]{background:var(--mad-allowed)}.axis[data-astro-cid-ae4qkkq5]{display:flex;justify-content:space-between;margin-top:var(--step-1);line-height:1.4}.detail[data-astro-cid-ae4qkkq5]{margin-top:var(--step-5)}.board-col[data-astro-cid-ae4qkkq5]{min-width:0;transition:opacity .22s var(--ease-out)}.grid-search[data-astro-cid-ae4qkkq5][data-swapping] .board-col[data-astro-cid-ae4qkkq5]{opacity:.2;transition-duration:.12s}.mad-status[data-astro-cid-ae4qkkq5]{margin:var(--step-4) 0 0}@media(prefers-reduced-motion:reduce){button[data-astro-cid-ae4qkkq5],.cursor[data-astro-cid-ae4qkkq5],.board-col[data-astro-cid-ae4qkkq5]{transition:none}}@media print{.controls[data-astro-cid-ae4qkkq5]{display:none}.area[data-astro-cid-ae4qkkq5]{fill:#0000001f}}@font-face{font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_AMS-Regular.BQhdFMY1.woff2) format("woff2"),url(/_astro/KaTeX_AMS-Regular.DMm9YOAa.woff) format("woff"),url(/_astro/KaTeX_AMS-Regular.DRggAlZN.ttf) format("truetype")}@font-face{font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(/_astro/KaTeX_Caligraphic-Bold.Dq_IR9rO.woff2) format("woff2"),url(/_astro/KaTeX_Caligraphic-Bold.BEiXGLvX.woff) format("woff"),url(/_astro/KaTeX_Caligraphic-Bold.ATXxdsX0.ttf) format("truetype")}@font-face{font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Caligraphic-Regular.Di6jR-x-.woff2) format("woff2"),url(/_astro/KaTeX_Caligraphic-Regular.CTRA-rTL.woff) format("woff"),url(/_astro/KaTeX_Caligraphic-Regular.wX97UBjC.ttf) format("truetype")}@font-face{font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(/_astro/KaTeX_Fraktur-Bold.CL6g_b3V.woff2) format("woff2"),url(/_astro/KaTeX_Fraktur-Bold.BsDP51OF.woff) format("woff"),url(/_astro/KaTeX_Fraktur-Bold.BdnERNNW.ttf) format("truetype")}@font-face{font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Fraktur-Regular.CTYiF6lA.woff2) format("woff2"),url(/_astro/KaTeX_Fraktur-Regular.Dxdc4cR9.woff) format("woff"),url(/_astro/KaTeX_Fraktur-Regular.CB_wures.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(/_astro/KaTeX_Main-Bold.Cx986IdX.woff2) format("woff2"),url(/_astro/KaTeX_Main-Bold.Jm3AIy58.woff) format("woff"),url(/_astro/KaTeX_Main-Bold.waoOVXN0.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(/_astro/KaTeX_Main-BoldItalic.DxDJ3AOS.woff2) format("woff2"),url(/_astro/KaTeX_Main-BoldItalic.SpSLRI95.woff) format("woff"),url(/_astro/KaTeX_Main-BoldItalic.DzxPMmG6.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(/_astro/KaTeX_Main-Italic.NWA7e6Wa.woff2) format("woff2"),url(/_astro/KaTeX_Main-Italic.BMLOBm91.woff) format("woff"),url(/_astro/KaTeX_Main-Italic.3WenGoN9.ttf) format("truetype")}@font-face{font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Main-Regular.B22Nviop.woff2) format("woff2"),url(/_astro/KaTeX_Main-Regular.Dr94JaBh.woff) format("woff"),url(/_astro/KaTeX_Main-Regular.ypZvNtVU.ttf) format("truetype")}@font-face{font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(/_astro/KaTeX_Math-BoldItalic.CZnvNsCZ.woff2) format("woff2"),url(/_astro/KaTeX_Math-BoldItalic.iY-2wyZ7.woff) format("woff"),url(/_astro/KaTeX_Math-BoldItalic.B3XSjfu4.ttf) format("truetype")}@font-face{font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(/_astro/KaTeX_Math-Italic.t53AETM-.woff2) format("woff2"),url(/_astro/KaTeX_Math-Italic.DA0__PXp.woff) format("woff"),url(/_astro/KaTeX_Math-Italic.flOr_0UB.ttf) format("truetype")}@font-face{font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url(/_astro/KaTeX_SansSerif-Bold.D1sUS0GD.woff2) format("woff2"),url(/_astro/KaTeX_SansSerif-Bold.DbIhKOiC.woff) format("woff"),url(/_astro/KaTeX_SansSerif-Bold.CFMepnvq.ttf) format("truetype")}@font-face{font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(/_astro/KaTeX_SansSerif-Italic.C3H0VqGB.woff2) format("woff2"),url(/_astro/KaTeX_SansSerif-Italic.DN2j7dab.woff) format("woff"),url(/_astro/KaTeX_SansSerif-Italic.YYjJ1zSn.ttf) format("truetype")}@font-face{font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_SansSerif-Regular.DDBCnlJ7.woff2) format("woff2"),url(/_astro/KaTeX_SansSerif-Regular.CS6fqUqJ.woff) format("woff"),url(/_astro/KaTeX_SansSerif-Regular.BNo7hRIc.ttf) format("truetype")}@font-face{font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Script-Regular.D3wIWfF6.woff2) format("woff2"),url(/_astro/KaTeX_Script-Regular.D5yQViql.woff) format("woff"),url(/_astro/KaTeX_Script-Regular.C5JkGWo-.ttf) format("truetype")}@font-face{font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Size1-Regular.mCD8mA8B.woff2) format("woff2"),url(/_astro/KaTeX_Size1-Regular.C195tn64.woff) format("woff"),url(/_astro/KaTeX_Size1-Regular.Dbsnue_I.ttf) format("truetype")}@font-face{font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Size2-Regular.Dy4dx90m.woff2) format("woff2"),url(/_astro/KaTeX_Size2-Regular.oD1tc_U0.woff) format("woff"),url(/_astro/KaTeX_Size2-Regular.B7gKUWhC.ttf) format("truetype")}@font-face{font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(data:font/woff2;base64,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) format("woff2"),url(/_astro/KaTeX_Size3-Regular.CTq5MqoE.woff) format("woff"),url(/_astro/KaTeX_Size3-Regular.DgpXs0kz.ttf) format("truetype")}@font-face{font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Size4-Regular.Dl5lxZxV.woff2) format("woff2"),url(/_astro/KaTeX_Size4-Regular.BF-4gkZK.woff) format("woff"),url(/_astro/KaTeX_Size4-Regular.DWFBv043.ttf) format("truetype")}@font-face{font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(/_astro/KaTeX_Typewriter-Regular.CO6r4hn1.woff2) format("woff2"),url(/_astro/KaTeX_Typewriter-Regular.C0xS9mPB.woff) format("woff"),url(/_astro/KaTeX_Typewriter-Regular.D3Ib7_Hf.ttf) format("truetype")}.katex{text-rendering:auto;font: 1.21em KaTeX_Main,Times New Roman,serif;line-height:1.2;text-indent:0}.katex *{-ms-high-contrast-adjust:none!important;border-color:currentColor}.katex .katex-version:after{content:"0.16.9"}.katex .katex-mathml{clip:rect(1px,1px,1px,1px);border:0;height:1px;overflow:hidden;padding:0;position:absolute;width:1px}.katex .katex-html>.newline{display:block}.katex .base{position:relative;white-space:nowrap;width:-webkit-min-content;width:-moz-min-content;width:min-content}.katex .base,.katex .strut{display:inline-block}.katex .textbf{font-weight:700}.katex .textit{font-style:italic}.katex .textrm{font-family:KaTeX_Main}.katex .textsf{font-family:KaTeX_SansSerif}.katex .texttt{font-family:KaTeX_Typewriter}.katex .mathnormal{font-family:KaTeX_Math;font-style:italic}.katex .mathit{font-family:KaTeX_Main;font-style:italic}.katex .mathrm{font-style:normal}.katex .mathbf{font-family:KaTeX_Main;font-weight:700}.katex .boldsymbol{font-family:KaTeX_Math;font-style:italic;font-weight:700}.katex .amsrm,.katex .mathbb,.katex .textbb{font-family:KaTeX_AMS}.katex .mathcal{font-family:KaTeX_Caligraphic}.katex .mathfrak,.katex .textfrak{font-family:KaTeX_Fraktur}.katex .mathboldfrak,.katex .textboldfrak{font-family:KaTeX_Fraktur;font-weight:700}.katex .mathtt{font-family:KaTeX_Typewriter}.katex .mathscr,.katex .textscr{font-family:KaTeX_Script}.katex .mathsf,.katex .textsf{font-family:KaTeX_SansSerif}.katex .mathboldsf,.katex .textboldsf{font-family:KaTeX_SansSerif;font-weight:700}.katex .mathitsf,.katex .textitsf{font-family:KaTeX_SansSerif;font-style:italic}.katex .mainrm{font-family:KaTeX_Main;font-style:normal}.katex .vlist-t{border-collapse:collapse;display:inline-table;table-layout:fixed}.katex .vlist-r{display:table-row}.katex .vlist{display:table-cell;position:relative;vertical-align:bottom}.katex .vlist>span{display:block;height:0;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{overflow:hidden;width:0}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{display:table-cell;font-size:1px;min-width:2px;vertical-align:bottom;width:2px}.katex .vbox{align-items:baseline;display:inline-flex;flex-direction:column}.katex .hbox{width:100%}.katex .hbox,.katex .thinbox{display:inline-flex;flex-direction:row}.katex .thinbox{max-width:0;width:0}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline,.katex .hline,.katex .mfrac .frac-line,.katex .overline .overline-line,.katex .rule,.katex .underline .underline-line{min-height:1px}.katex .mspace{display:inline-block}.katex .clap,.katex .llap,.katex .rlap{position:relative;width:0}.katex .clap>.inner,.katex .llap>.inner,.katex .rlap>.inner{position:absolute}.katex .clap>.fix,.katex .llap>.fix,.katex .rlap>.fix{display:inline-block}.katex .llap>.inner{right:0}.katex .clap>.inner,.katex .rlap>.inner{left:0}.katex .clap>.inner>span{margin-left:-50%;margin-right:50%}.katex .rule{border:0 solid;display:inline-block;position:relative}.katex .hline,.katex .overline .overline-line,.katex .underline .underline-line{border-bottom-style:solid;display:inline-block;width:100%}.katex .hdashline{border-bottom-style:dashed;display:inline-block;width:100%}.katex .sqrt>.root{margin-left:.27777778em;margin-right:-.55555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .sizing.reset-size2.size1{font-size:.83333333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .sizing.reset-size2.size3{font-size:1.16666667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .sizing.reset-size2.size4{font-size:1.33333333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .sizing.reset-size2.size6{font-size:1.66666667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .sizing.reset-size2.size10{font-size:3.45666667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .sizing.reset-size2.size11{font-size:4.14666667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .sizing.reset-size3.size1{font-size:.71428571em}.katex .fontsize-ensurer.reset-size3.size2,.katex .sizing.reset-size3.size2{font-size:.85714286em}.katex .fontsize-ensurer.reset-size3.size3,.katex .sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .sizing.reset-size3.size4{font-size:1.14285714em}.katex .fontsize-ensurer.reset-size3.size5,.katex .sizing.reset-size3.size5{font-size:1.28571429em}.katex .fontsize-ensurer.reset-size3.size6,.katex .sizing.reset-size3.size6{font-size:1.42857143em}.katex .fontsize-ensurer.reset-size3.size7,.katex .sizing.reset-size3.size7{font-size:1.71428571em}.katex .fontsize-ensurer.reset-size3.size8,.katex .sizing.reset-size3.size8{font-size:2.05714286em}.katex .fontsize-ensurer.reset-size3.size9,.katex .sizing.reset-size3.size9{font-size:2.46857143em}.katex .fontsize-ensurer.reset-size3.size10,.katex .sizing.reset-size3.size10{font-size:2.96285714em}.katex .fontsize-ensurer.reset-size3.size11,.katex .sizing.reset-size3.size11{font-size:3.55428571em}.katex .fontsize-ensurer.reset-size4.size1,.katex .sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .sizing.reset-size5.size1{font-size:.55555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .sizing.reset-size5.size2{font-size:.66666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .sizing.reset-size5.size3{font-size:.77777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .sizing.reset-size5.size4{font-size:.88888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .sizing.reset-size5.size6{font-size:1.11111111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .sizing.reset-size5.size7{font-size:1.33333333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .sizing.reset-size5.size10{font-size:2.30444444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .sizing.reset-size5.size11{font-size:2.76444444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .sizing.reset-size7.size1{font-size:.41666667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .sizing.reset-size7.size3{font-size:.58333333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .sizing.reset-size7.size4{font-size:.66666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .sizing.reset-size7.size6{font-size:.83333333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .sizing.reset-size7.size10{font-size:1.72833333em}.katex .fontsize-ensurer.reset-size7.size11,.katex .sizing.reset-size7.size11{font-size:2.07333333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .sizing.reset-size8.size1{font-size:.34722222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .sizing.reset-size8.size2{font-size:.41666667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .sizing.reset-size8.size3{font-size:.48611111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .sizing.reset-size8.size4{font-size:.55555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .sizing.reset-size8.size6{font-size:.69444444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .sizing.reset-size8.size7{font-size:.83333333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .sizing.reset-size8.size10{font-size:1.44027778em}.katex .fontsize-ensurer.reset-size8.size11,.katex .sizing.reset-size8.size11{font-size:1.72777778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .sizing.reset-size9.size1{font-size:.28935185em}.katex .fontsize-ensurer.reset-size9.size2,.katex .sizing.reset-size9.size2{font-size:.34722222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .sizing.reset-size9.size3{font-size:.40509259em}.katex .fontsize-ensurer.reset-size9.size4,.katex .sizing.reset-size9.size4{font-size:.46296296em}.katex .fontsize-ensurer.reset-size9.size5,.katex .sizing.reset-size9.size5{font-size:.52083333em}.katex .fontsize-ensurer.reset-size9.size6,.katex .sizing.reset-size9.size6{font-size:.5787037em}.katex .fontsize-ensurer.reset-size9.size7,.katex .sizing.reset-size9.size7{font-size:.69444444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .sizing.reset-size9.size8{font-size:.83333333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .sizing.reset-size9.size10{font-size:1.20023148em}.katex .fontsize-ensurer.reset-size9.size11,.katex .sizing.reset-size9.size11{font-size:1.43981481em}.katex .fontsize-ensurer.reset-size10.size1,.katex .sizing.reset-size10.size1{font-size:.24108004em}.katex .fontsize-ensurer.reset-size10.size2,.katex .sizing.reset-size10.size2{font-size:.28929605em}.katex .fontsize-ensurer.reset-size10.size3,.katex .sizing.reset-size10.size3{font-size:.33751205em}.katex .fontsize-ensurer.reset-size10.size4,.katex .sizing.reset-size10.size4{font-size:.38572806em}.katex .fontsize-ensurer.reset-size10.size5,.katex .sizing.reset-size10.size5{font-size:.43394407em}.katex .fontsize-ensurer.reset-size10.size6,.katex .sizing.reset-size10.size6{font-size:.48216008em}.katex .fontsize-ensurer.reset-size10.size7,.katex .sizing.reset-size10.size7{font-size:.57859209em}.katex .fontsize-ensurer.reset-size10.size8,.katex .sizing.reset-size10.size8{font-size:.69431051em}.katex .fontsize-ensurer.reset-size10.size9,.katex .sizing.reset-size10.size9{font-size:.83317261em}.katex .fontsize-ensurer.reset-size10.size10,.katex .sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .sizing.reset-size10.size11{font-size:1.19961427em}.katex .fontsize-ensurer.reset-size11.size1,.katex .sizing.reset-size11.size1{font-size:.20096463em}.katex .fontsize-ensurer.reset-size11.size2,.katex .sizing.reset-size11.size2{font-size:.24115756em}.katex .fontsize-ensurer.reset-size11.size3,.katex .sizing.reset-size11.size3{font-size:.28135048em}.katex .fontsize-ensurer.reset-size11.size4,.katex .sizing.reset-size11.size4{font-size:.32154341em}.katex .fontsize-ensurer.reset-size11.size5,.katex .sizing.reset-size11.size5{font-size:.36173633em}.katex .fontsize-ensurer.reset-size11.size6,.katex .sizing.reset-size11.size6{font-size:.40192926em}.katex .fontsize-ensurer.reset-size11.size7,.katex .sizing.reset-size11.size7{font-size:.48231511em}.katex .fontsize-ensurer.reset-size11.size8,.katex .sizing.reset-size11.size8{font-size:.57877814em}.katex .fontsize-ensurer.reset-size11.size9,.katex .sizing.reset-size11.size9{font-size:.69453376em}.katex .fontsize-ensurer.reset-size11.size10,.katex .sizing.reset-size11.size10{font-size:.83360129em}.katex .fontsize-ensurer.reset-size11.size11,.katex .sizing.reset-size11.size11{font-size:1em}.katex .delimsizing.size1{font-family:KaTeX_Size1}.katex .delimsizing.size2{font-family:KaTeX_Size2}.katex .delimsizing.size3{font-family:KaTeX_Size3}.katex .delimsizing.size4{font-family:KaTeX_Size4}.katex .delimsizing.mult .delim-size1>span{font-family:KaTeX_Size1}.katex .delimsizing.mult .delim-size4>span{font-family:KaTeX_Size4}.katex .nulldelimiter{display:inline-block;width:.12em}.katex .delimcenter,.katex .op-symbol{position:relative}.katex .op-symbol.small-op{font-family:KaTeX_Size1}.katex .op-symbol.large-op{font-family:KaTeX_Size2}.katex .accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .accent .accent-body{position:relative}.katex .accent .accent-body:not(.accent-full){width:0}.katex .overlay{display:block}.katex .mtable .vertical-separator{display:inline-block;min-width:1px}.katex .mtable .arraycolsep{display:inline-block}.katex .mtable .col-align-c>.vlist-t{text-align:center}.katex .mtable .col-align-l>.vlist-t{text-align:left}.katex .mtable .col-align-r>.vlist-t{text-align:right}.katex .svg-align{text-align:left}.katex svg{fill:currentColor;stroke:currentColor;fill-rule:nonzero;fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1;display:block;height:inherit;position:absolute;width:100%}.katex svg path{stroke:none}.katex img{border-style:none;max-height:none;max-width:none;min-height:0;min-width:0}.katex .stretchy{display:block;overflow:hidden;position:relative;width:100%}.katex .stretchy:after,.katex .stretchy:before{content:""}.katex .hide-tail{overflow:hidden;position:relative;width:100%}.katex .halfarrow-left{left:0;overflow:hidden;position:absolute;width:50.2%}.katex .halfarrow-right{overflow:hidden;position:absolute;right:0;width:50.2%}.katex .brace-left{left:0;overflow:hidden;position:absolute;width:25.1%}.katex .brace-center{left:25%;overflow:hidden;position:absolute;width:50%}.katex .brace-right{overflow:hidden;position:absolute;right:0;width:25.1%}.katex .x-arrow-pad{padding:0 .5em}.katex .cd-arrow-pad{padding:0 .55556em 0 .27778em}.katex .mover,.katex .munder,.katex .x-arrow{text-align:center}.katex .boxpad{padding:0 .3em}.katex .fbox,.katex .fcolorbox{border:.04em solid;box-sizing:border-box}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{border-right:.049em solid;border-top:.049em solid;box-sizing:border-box;margin-right:.03889em}.katex .anglpad{padding:0 .03889em}.katex .eqn-num:before{content:"(" counter(katexEqnNo) ")";counter-increment:katexEqnNo}.katex .mml-eqn-num:before{content:"(" counter(mmlEqnNo) ")";counter-increment:mmlEqnNo}.katex .mtr-glue{width:50%}.katex .cd-vert-arrow{display:inline-block;position:relative}.katex .cd-label-left{display:inline-block;position:absolute;right:calc(50% + .3em);text-align:left}.katex .cd-label-right{display:inline-block;left:calc(50% + .3em);position:absolute;text-align:right}.katex-display{display:block;margin:1em 0;text-align:center}.katex-display>.katex{display:block;text-align:center;white-space:nowrap}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.tag{left:0;right:auto}.katex-display.fleqn>.katex{padding-left:2em;text-align:left}body{counter-reset:katexEqnNo mmlEqnNo}.mad-eq[data-astro-cid-ujrxhrd4]{margin:0 0 var(--step-5);color:var(--ink-2)}.mad-eq[data-astro-cid-ujrxhrd4] .katex-display{margin:0;overflow-x:auto;overflow-y:hidden}.mad-eq[data-astro-cid-ujrxhrd4] .katex{font-size:1.08em}@media(max-width:479px){.mad-eq[data-astro-cid-ujrxhrd4] .katex{font-size:.96em}}.mad-eq[data-astro-cid-ujrxhrd4].is-inline{margin:0;white-space:nowrap}.mad-eq[data-astro-cid-ujrxhrd4].is-inline .katex{font-size:1.04em}:root{--mad-consecutive: #5bc2e7;--mad-double: #e8a33d;--mad-five: #a98bff;--mad-ten: #f27fa8;--mad-allowed: #6fcf7f;--mad-error: var(--ink-1);--mad-line: rgb(255 255 255 / .22);--mad-line-strong: rgb(255 255 255 / .7);--mad-cell: rgb(255 255 255 / .035);--mad-band: rgb(255 255 255 / .08);--mad-digits: "Bembo", "Bembo Fallback", serif;--mad-pane-fill: rgb(255 255 255 / .03);--mad-pane-radius: 7px;--mad-tint-a: rgb(255 255 255 / .1);--mad-tint-b: rgb(91 194 231 / .13);--mad-swatch-a: rgb(255 255 255 / .18);--mad-swatch-b: rgb(91 194 231 / .3);--mad-allowed-fill-opacity: .6;--mad-slot-opacity: .18;--mad-veil-blur: 6px;--mad-box-stroke: 2px;--mad-box-ink: var(--ink-1);--mad-cage-dash: 3 2.5;--mad-coord-ink: var(--ink-4)}@media(min-width:768px){:root{--mad-veil-blur: 8px}}html:not(.js) .mad-veil-cover{display:none}html:not(.js) .box-graph .actions{display:none}@media print{.mad-veil-art{filter:none!important;opacity:1!important}.mad-veil-cover{display:none!important}}@media print{:root{--mad-line: rgb(0 0 0 / .3);--mad-line-strong: rgb(0 0 0 / .8);--mad-cell: transparent;--mad-band: rgb(0 0 0 / .08);--mad-pane-fill: transparent;--mad-tint-a: rgb(0 0 0 / .07);--mad-swatch-a: rgb(0 0 0 / .14);--mad-allowed: #1e6b33}.madrigal-solver [data-static]{display:block!important;position:static!important}.madrigal-solver .ms-app{display:none!important}figure.puzzle{break-after:page}.prose figure{break-inside:avoid}.seams-host .digit{stroke:#fff!important}.board .edge-chip,.friend-graph .disc,.box-graph .disc{fill:#fff!important}.nine-twos .cell{fill:transparent!important}.nine-twos .cell.blocked{fill:#0000001a!important}.nine-twos .ring{fill:#0000000a!important}.friend-graph .legend .key{display:inline-flex!important}.code-figure pre{background:none!important}.code-figure pre span{color:#000!important}.mad-table{border-color:#000000b3}}.mad-pane{box-sizing:border-box;padding:var(--step-3) var(--step-4) var(--step-4);border:1px solid var(--rule-strong);border-radius:var(--mad-pane-radius);background:var(--mad-pane-fill)}.mad-pane .mad-pane-head{margin:0 0 var(--step-2);font-size:var(--meta-size);font-variant:small-caps;letter-spacing:.1em;margin-right:-.1em;color:var(--ink-3);text-align:center;text-align-last:center;text-indent:0}.mad-status,.mad-readout,.mad-hint{margin:0;text-align:center;text-align-last:center;text-indent:0;hyphens:none}.prose :is(.mad-status,.mad-readout,.mad-hint){text-align:center;text-align-last:center;text-indent:0;hyphens:none}.mad-status{font-size:1rem;line-height:1.5;height:1.5em;white-space:nowrap;color:var(--ink-2);font-variant-numeric:lining-nums tabular-nums;transition:color var(--dur-quick) var(--ease-calm)}.mad-readout{font-size:var(--caption-size);line-height:1.6;color:var(--ink-2);font-variant-numeric:lining-nums proportional-nums}.mad-hint{display:grid;font-size:var(--caption-size);font-style:italic;color:var(--ink-3);text-wrap:balance}.prose .mad-hint{text-wrap:balance}.mad-hint>[data-hint-key=arranged]{color:var(--mad-allowed)}.mad-table{width:auto;margin:0 auto;border-collapse:collapse;border-block:1px solid var(--ink-ornament);font-family:var(--mad-digits);font-size:1rem;line-height:1.5;font-variant-numeric:lining-nums tabular-nums;color:var(--ink-2)}.mad-table :is(th,td){padding:.3rem 1.1rem;border:0;font-weight:400;text-align:left;vertical-align:middle;white-space:nowrap}.mad-table tr:hover{background:none}.mad-table tbody tr:first-child>*{padding-top:.55rem}.mad-table tbody tr:last-child>*{padding-bottom:.55rem}.mad-table .mad-c{text-align:center}.mad-table .mad-num{font-size:1.05rem;color:var(--ink-1)}.mad-table .is-struck .mad-num{color:var(--ink-3)}.mad-strike{position:relative}.mad-strike:after{content:"";position:absolute;left:-.15em;right:-.15em;top:54%;height:1px;background:var(--ink-2)}.mad-why{display:inline-flex;align-items:center;gap:.55rem;font-size:var(--caption-size);font-style:italic;color:var(--ink-3)}.mad-why svg{flex:none;width:1.05rem;height:1.05rem;overflow:visible}.mad-hint>*{grid-area:1 / 1}.mad-sep{color:var(--ink-4)}.mad-bad{color:var(--ink-1);font-style:italic}.mad-good{color:var(--mad-allowed)}@media(prefers-reduced-motion:reduce){.mad-status{transition:none}}.mad-floor{--n: var(--n-w, 3.6);--nx: var(--nx-w, 1.4);--k: var(--k-w, 1)}@media(max-width:600px){.mad-floor{--n: var(--n-430, 3.6);--nx: var(--nx-430, 1.4);--k: var(--k-430, 1)}}@media(max-width:429px){.mad-floor{--n: var(--n-390, 3.6);--nx: var(--nx-390, 1.4);--k: var(--k-390, 1)}}@media(max-width:389px){.mad-floor{--n: var(--n-360, 3.6);--nx: var(--nx-360, 1.4);--k: var(--k-360, 1)}}@media(max-width:359px){.mad-floor{--n: var(--n-320, 3.6);--nx: var(--nx-320, 1.4);--k: var(--k-320, 1)}}.mad-floor .mad-k{transform:scale(var(--k))}.mad-panel-letter{display:block;text-align:center;font-style:italic;font-size:var(--caption-size);line-height:1.4;color:var(--ink-3)}.greedy-wrap[data-astro-cid-vpxte7yv]{text-wrap:wrap}.solver-caption-hard[data-astro-cid-vpxte7yv],.madrigal-solver[data-mode=hard] .solver-caption-guided[data-astro-cid-vpxte7yv]{display:none}.madrigal-solver[data-mode=hard] .solver-caption-hard[data-astro-cid-vpxte7yv]{display:inline}.rules[data-astro-cid-vpxte7yv]{margin:0 0 var(--step-5)}.rules-head[data-astro-cid-vpxte7yv]{margin:0 0 var(--step-1);font-size:var(--meta-size);font-variant:small-caps;letter-spacing:.1em;color:var(--ink-3);text-indent:0}.rules[data-astro-cid-vpxte7yv] .objective[data-astro-cid-vpxte7yv]{margin:0 0 var(--step-4);padding-left:2rem;text-indent:0;text-align:left;hyphens:manual;-webkit-hyphens:manual}.rules[data-astro-cid-vpxte7yv] ol[data-astro-cid-vpxte7yv]{margin:0;padding:0;list-style:none;counter-reset:rule}.rules[data-astro-cid-vpxte7yv] li[data-astro-cid-vpxte7yv]{position:relative;margin-bottom:.4rem;padding-left:2rem;text-indent:0;text-align:left;hyphens:manual;-webkit-hyphens:manual;counter-increment:rule}.rules[data-astro-cid-vpxte7yv] li[data-astro-cid-vpxte7yv]:before{content:counter(rule) ".";position:absolute;left:0;width:1.2rem;padding:0;text-align:right;color:var(--ink-3)}.fold[data-astro-cid-vpxte7yv]{margin:calc(-1 * var(--step-3)) 0 var(--step-5)}.fold[data-astro-cid-vpxte7yv]>summary[data-astro-cid-vpxte7yv]{display:inline-flex;align-items:center;gap:.2rem;min-height:44px;cursor:pointer;list-style:none;-webkit-tap-highlight-color:transparent;touch-action:manipulation}.fold[data-astro-cid-vpxte7yv]>summary[data-astro-cid-vpxte7yv]::-webkit-details-marker{display:none}.fold[data-astro-cid-vpxte7yv]>summary[data-astro-cid-vpxte7yv]:focus{outline:none}.fold[data-astro-cid-vpxte7yv]>summary[data-astro-cid-vpxte7yv]:focus-visible{outline:2px solid var(--accent);outline-offset:2px}.fold-label[data-astro-cid-vpxte7yv]{font-size:var(--meta-size);font-variant:small-caps;font-variant-numeric:lining-nums proportional-nums;letter-spacing:var(--meta-tracking);color:var(--ink-3);transition:color var(--dur-quick) var(--ease-standard)}.fold[data-astro-cid-vpxte7yv][open] .fold-label[data-astro-cid-vpxte7yv]{color:var(--ink-2)}@media(hover:hover){.fold[data-astro-cid-vpxte7yv]>summary[data-astro-cid-vpxte7yv]:hover .fold-label[data-astro-cid-vpxte7yv]{color:var(--ink-1)}}.fold-mark[data-astro-cid-vpxte7yv]{display:grid;place-items:center;width:24px;height:24px;color:var(--ink-3)}.fold-mark[data-astro-cid-vpxte7yv] svg{width:12px;height:12px;transform:rotate(90deg);transition:transform .28s var(--ease-settle)}.fold[data-astro-cid-vpxte7yv][open] .fold-mark[data-astro-cid-vpxte7yv] svg{transform:rotate(-90deg)}.fold[data-astro-cid-vpxte7yv][open]>p[data-astro-cid-vpxte7yv],.fold[data-astro-cid-vpxte7yv][open]>pre{animation:fold-in .24s var(--ease-out) both}.code-figure[data-astro-cid-vpxte7yv] .fold[data-astro-cid-vpxte7yv]{margin:0}.code-figure[data-astro-cid-vpxte7yv] .fold[data-astro-cid-vpxte7yv][open]>summary[data-astro-cid-vpxte7yv]{margin-bottom:var(--step-2)}@keyframes fold-in{0%{opacity:0}}@media(prefers-reduced-motion:reduce){.fold[data-astro-cid-vpxte7yv][open]>p[data-astro-cid-vpxte7yv],.fold[data-astro-cid-vpxte7yv][open]>pre{animation:none}.fold-mark[data-astro-cid-vpxte7yv] svg{transition:none}}.polya[data-astro-cid-vpxte7yv]{margin:calc(-1 * var(--step-2)) 0 var(--step-5);font-style:italic;font-size:var(--caption-size);color:var(--ink-3);text-wrap:balance;text-indent:-.4em}.steps[data-astro-cid-vpxte7yv]{display:grid;grid-template-columns:repeat(3,minmax(0,1fr));gap:var(--step-5) var(--step-4)}@media(max-width:480px){.steps[data-astro-cid-vpxte7yv]{grid-template-columns:repeat(2,minmax(0,1fr))}}.orient[data-astro-cid-vpxte7yv]{position:relative;min-width:0;outline:none;-webkit-tap-highlight-color:transparent}.orient[data-astro-cid-vpxte7yv][role=button]{cursor:pointer}.orient[data-astro-cid-vpxte7yv]:after{--crop: rgb(255 255 255 / .62);content:"";position:absolute;inset:-6px;background:linear-gradient(var(--crop),var(--crop)) left top / 7px 1px no-repeat,linear-gradient(var(--crop),var(--crop)) left top / 1px 7px no-repeat,linear-gradient(var(--crop),var(--crop)) right top / 7px 1px no-repeat,linear-gradient(var(--crop),var(--crop)) right top / 1px 7px no-repeat,linear-gradient(var(--crop),var(--crop)) left bottom / 7px 1px no-repeat,linear-gradient(var(--crop),var(--crop)) left bottom / 1px 7px no-repeat,linear-gradient(var(--crop),var(--crop)) right bottom / 7px 1px no-repeat,linear-gradient(var(--crop),var(--crop)) right bottom / 1px 7px no-repeat;opacity:0;pointer-events:none;transition:opacity .18s var(--ease-out)}.orient[data-astro-cid-vpxte7yv].is-twin:after{opacity:1}.orient[data-astro-cid-vpxte7yv]:focus-visible:after{--crop: var(--ink-1);opacity:1}.column-head[data-astro-cid-vpxte7yv]{margin:0 0 var(--step-3);font-size:var(--meta-size);font-variant:small-caps;font-variant-numeric:lining-nums proportional-nums;letter-spacing:.1em;margin-right:-.1em;color:var(--ink-3);text-align:center;text-align-last:center;text-indent:0;white-space:nowrap;line-height:1.25}.panel[data-astro-cid-vpxte7yv]{display:flex;flex-direction:column;gap:var(--step-2);min-width:0}.cage-pair[data-astro-cid-vpxte7yv]{display:grid;justify-items:center;row-gap:var(--step-6)}.cage-board[data-astro-cid-vpxte7yv]{width:100%;max-width:var(--cage-w)}@media(min-width:600px){.cage-pair[data-astro-cid-vpxte7yv]{--ledger-top: var(--cage-top);--ledger-row: var(--cage-cell);--ledger-pad: 0;grid-template-columns:auto var(--cage-w);justify-content:center;align-items:start;column-gap:var(--step-5)}.cage-ledger-panel[data-astro-cid-vpxte7yv]{align-self:stretch;display:flex;flex-direction:column;justify-content:space-between}}.seams-host[data-astro-cid-vpxte7yv]{outline:none;-webkit-tap-highlight-color:transparent}.seams-host[data-astro-cid-vpxte7yv]:focus-visible{outline:2px solid var(--ink-1);outline-offset:4px}.solved[data-astro-cid-vpxte7yv] .edge.seam{opacity:0;transition:opacity .4s var(--ease-standard)}@media(hover:hover)and (pointer:fine){.solved[data-astro-cid-vpxte7yv] .mad-veil:not([data-veiled]):not(.is-fresh) .seams-host[data-astro-cid-vpxte7yv]:hover .edge.seam{opacity:1;transition-delay:.5s}}.solved[data-astro-cid-vpxte7yv] .mad-veil:not([data-veiled]):not(.is-fresh) .seams-host[data-astro-cid-vpxte7yv]:focus-visible .edge.seam{opacity:1}@media(hover:none){.solved[data-astro-cid-vpxte7yv] .mad-veil:not([data-veiled]):not(.is-fresh) .seams-host[data-astro-cid-vpxte7yv]:focus .edge.seam{opacity:1}}@media(prefers-reduced-motion:reduce){.solved[data-astro-cid-vpxte7yv] .edge.seam{transition:none}}@media print{.solved[data-astro-cid-vpxte7yv] .edge.seam{opacity:1;transition:none}}.solved[data-astro-cid-vpxte7yv] .finished .digit{paint-order:stroke;stroke:#000;stroke-width:.7px;stroke-linejoin:round}.answers[data-astro-cid-vpxte7yv]{display:grid;gap:var(--step-6)}.step[data-astro-cid-vpxte7yv]{display:flex;flex-direction:column;align-items:center;gap:var(--step-2)}.step-label[data-astro-cid-vpxte7yv]{font-style:italic;color:var(--ink-3);font-size:var(--caption-size)}.families[data-astro-cid-vpxte7yv]{display:grid;grid-template-columns:repeat(2,minmax(0,1fr)) var(--step-4) repeat(2,minmax(0,1fr));column-gap:var(--step-5)}.orient-row[data-astro-cid-vpxte7yv]{display:contents}.orient-row[data-astro-cid-vpxte7yv]>[data-astro-cid-vpxte7yv]:nth-child(3){grid-column-start:4}.family-head[data-astro-cid-vpxte7yv]:first-child{grid-column:1 / 3}.family-head[data-astro-cid-vpxte7yv]+.family-head[data-astro-cid-vpxte7yv]{grid-column:4 / 6}.family-head[data-astro-cid-vpxte7yv]{margin:0 0 var(--step-2);font-size:var(--caption-size);font-variant-numeric:lining-nums tabular-nums;color:var(--ink-3);text-align:center;text-align-last:center;text-indent:0;hyphens:none;white-space:nowrap;line-height:1.25}.family-head[data-astro-cid-vpxte7yv] .mad-sep[data-astro-cid-vpxte7yv]{margin-inline:.25em}.family-label[data-astro-cid-vpxte7yv]{grid-column:1 / -1;margin:var(--step-5) 0 var(--step-3);text-align:center;text-align-last:center;font-size:var(--meta-size);font-variant:small-caps;font-variant-numeric:lining-nums proportional-nums;letter-spacing:.1em;color:var(--ink-3)}.heads[data-astro-cid-vpxte7yv]+.family-label[data-astro-cid-vpxte7yv]{margin-top:0}.orient-cell[data-astro-cid-vpxte7yv]{min-width:0}.turn-head[data-astro-cid-vpxte7yv]{display:none}@media(max-width:600px){.families[data-astro-cid-vpxte7yv]{grid-template-columns:repeat(2,minmax(0,1fr));max-width:19rem;margin-inline:auto;gap:var(--step-4) var(--step-5)}.family-head[data-astro-cid-vpxte7yv]:first-child,.family-head[data-astro-cid-vpxte7yv]+.family-head[data-astro-cid-vpxte7yv]{grid-column:auto}.family-head[data-astro-cid-vpxte7yv]{margin:0}.orient-row[data-astro-cid-vpxte7yv]{grid-column:1 / -1;display:grid;grid-template-columns:repeat(2,minmax(0,1fr));grid-template-rows:auto auto;grid-auto-flow:column;gap:inherit}.orient-row[data-astro-cid-vpxte7yv]>[data-astro-cid-vpxte7yv]:nth-child(3){grid-column-start:auto}.orient-row[data-astro-cid-vpxte7yv].heads{display:none}.family-label[data-astro-cid-vpxte7yv]{margin:var(--step-5) 0 0}.first[data-astro-cid-vpxte7yv] .turn-head[data-astro-cid-vpxte7yv]{display:block;margin:0 0 var(--step-2);font-size:var(--meta-size);font-variant:small-caps;font-variant-numeric:lining-nums proportional-nums;letter-spacing:.1em;margin-right:-.1em;color:var(--ink-3);text-align:center;text-align-last:center;text-indent:0;line-height:1.25}}.pair[data-astro-cid-vpxte7yv]{display:grid;grid-template-columns:1fr 1fr;gap:var(--step-5)}.figure-key[data-astro-cid-vpxte7yv]{display:grid;gap:.2rem;width:fit-content;max-width:100%;margin:var(--step-3) auto 0;font-size:var(--caption-size);font-variant-numeric:lining-nums proportional-nums;color:var(--ink-3)}.contacts-key[data-astro-cid-vpxte7yv]{grid-auto-flow:column;column-gap:var(--step-5);margin-top:var(--step-4)}@media(max-width:479px){.contacts-key[data-astro-cid-vpxte7yv]{grid-auto-flow:row}}.figure-key[data-astro-cid-vpxte7yv] span[data-astro-cid-vpxte7yv]{display:inline-flex;align-items:center;gap:.5rem;white-space:nowrap}.figure-key[data-astro-cid-vpxte7yv] svg[data-astro-cid-vpxte7yv]{flex:none;width:1.05rem;height:1.05rem;overflow:visible}.code-figure[data-astro-cid-vpxte7yv] pre{margin:0;padding:var(--step-5) var(--step-5);border:1px solid var(--rule-strong);border-radius:2px;overflow-x:auto;font-family:ui-monospace,SF Mono,Menlo,Consolas,monospace;font-size:.86rem;line-height:1.65;font-variant-ligatures:none;tab-size:4}.code-figure[data-astro-cid-vpxte7yv] pre code{font:inherit;background:none;border:0;padding:0}@media(max-width:480px){.code-figure[data-astro-cid-vpxte7yv] pre{padding:var(--step-4) var(--step-3);font-size:.8rem}}@media(max-width:400px){.code-figure[data-astro-cid-vpxte7yv] pre{padding:var(--step-3) var(--step-2);font-size:.78rem}}@media(max-width:600px){.contacts[data-astro-cid-vpxte7yv] .pair[data-astro-cid-vpxte7yv]{grid-template-columns:1fr;gap:var(--step-6)}}