:root{--bg-0:#fff9e9;--bg-1:#e8f9f1;--ink:#263b4a;--muted:#607581;--line:#bfd4cc;--panel:#ffffffe6;--red:#ff6657;--red-soft:#ff66572e;--blue:#4d8ff7;--blue-soft:#4d8ff72e;--gold:#ffc83d;--green:#58c778;--green-dark:#32a85b;--purple:#9b7af5;--font-display:"Arial Rounded MT Bold", "Nunito", "Avenir Next", sans-serif;--font-body:"Nunito", "Avenir Next", "Segoe UI", sans-serif}*{box-sizing:border-box}body{min-height:100vh;font-family:var(--font-body);color:var(--ink);background:radial-gradient(circle at 10% 12%, #ffd85b57, transparent 28%), radial-gradient(circle at 90% 8%, #77d5a752, transparent 30%), radial-gradient(circle at 80% 88%, #9b7af526, transparent 25%), linear-gradient(135deg, var(--bg-0), var(--bg-1));margin:0}#app{min-height:100vh}.ambient{pointer-events:none;background-image:linear-gradient(#1d2a3012 1px,#0000 1px),linear-gradient(90deg,#1d2a3012 1px,#0000 1px);background-size:44px 44px;position:fixed;inset:0;-webkit-mask-image:radial-gradient(circle,#000 40%,#0000 95%);mask-image:radial-gradient(circle,#000 40%,#0000 95%)}.shell{z-index:1;width:min(1040px,100% - 1.25rem);margin:.75rem auto 1.25rem;position:relative}.eyebrow{text-transform:uppercase;letter-spacing:.12em;color:var(--muted);margin:0;font-size:.68rem}h1{font-family:var(--font-display);letter-spacing:-.035em;color:var(--green-dark);text-shadow:0 2px #fff;margin:.05rem 0 0;font-size:clamp(1.55rem,3vw,2.15rem)}.lede{color:var(--muted);margin:0}.scoreboard{grid-template-columns:1fr 1fr;gap:.8rem;display:grid}.scoreboard.side{grid-template-columns:1fr 1fr;gap:.42rem}.card{background:var(--panel);border:1px solid var(--line);border-radius:16px;padding:.8rem 1rem;box-shadow:0 6px 18px #0a182014}.card h2{margin:0;font-size:1rem;font-weight:700}.card.red{border-left:6px solid var(--red)}.card.blue{border-left:6px solid var(--blue)}.watts{font-size:1.5rem;font-family:var(--font-display);margin:.25rem 0}.turns{color:var(--muted);margin:0;font-size:.92rem}.hud{flex-wrap:wrap;justify-content:flex-start;align-items:center;gap:.6rem;margin-top:0;display:flex}.hud-left{flex-wrap:nowrap;align-items:center;gap:.45rem;display:inline-flex}.title-strip{flex-wrap:nowrap;align-items:center;gap:.35rem;min-width:180px;display:inline-flex}.help-icon{width:24px;height:24px;color:var(--muted);cursor:pointer;font:700 .75rem/1 var(--font-body);background:#fffcf580;border:1px solid #4a5f6561;border-radius:50%;place-items:center;padding:0;transition:color .14s,border-color .14s,background .14s;display:grid}.help-icon:hover{color:var(--ink);border-color:var(--muted);background:#fffcf5e6}.leaderboard-icon{font-size:.68rem}.status{background:var(--panel);border:1px solid var(--line);border-radius:999px;align-items:center;gap:.5rem;padding:.32rem .62rem;font-size:.86rem;display:inline-flex}.dot{border-radius:50%;width:10px;height:10px}.status.red .dot{background:var(--red)}.status.blue .dot{background:var(--blue)}.controls{border:1px solid var(--line);background:var(--panel);border-radius:12px;flex-wrap:wrap;justify-content:space-between;align-items:center;gap:.65rem;margin-bottom:.35rem;padding:.42rem .5rem;display:flex}.move-tools,.match-tools{flex-wrap:wrap;align-items:center;gap:.4rem;display:flex}.action-hint{color:var(--muted);margin-right:.15rem;font-size:.78rem;font-weight:600}.available-swatch{vertical-align:-1px;background:#50be7b33;border:2px solid #2b8a58;border-radius:3px;width:9px;height:9px;margin-right:.2rem;display:inline-block}.tool{border:1px solid var(--line);color:var(--ink);cursor:pointer;background:#fff;border-radius:9px;padding:.46rem .72rem;font-size:.84rem;font-weight:600;transition:transform .14s,box-shadow .14s,border-color .14s}.tool.active{border-color:var(--gold);box-shadow:0 0 0 2px #f3bc3c40}.tool.primary{color:#fff;background:#217a4f;border-color:#16623d;box-shadow:0 4px 10px #16623d38}.tool.quiet{color:var(--muted);background:0 0;border-color:#0000}.tool:disabled{opacity:.48;cursor:not-allowed;box-shadow:none;transform:none}.tool.disabled{opacity:.5}.tool.reset{border-color:#1d2a3073}.corner-reset{z-index:20;background:#fffcf5f0;border-color:#1d2a304d;position:fixed;top:.75rem;right:.75rem;box-shadow:0 4px 12px #0a18201a}.arena{grid-template-columns:minmax(0,1fr) minmax(275px,300px);gap:.55rem;margin-top:.4rem;display:grid}.board-stage{min-width:0}.side-column{align-content:start;gap:.38rem;max-height:calc(100vh - 1.6rem);display:grid;position:sticky;top:.8rem;overflow:auto}.picker{grid-template-columns:repeat(2,minmax(0,1fr));gap:.35rem;padding:.45rem;display:grid}.picker-wrap{background:var(--panel);border:1px solid var(--line);border-radius:12px;overflow:hidden}.picker-heading{justify-content:space-between;align-items:baseline;gap:.5rem;padding:.48rem .55rem .14rem;display:flex}.picker-heading strong{font-size:.86rem}.picker-heading span{color:var(--muted);font-size:.68rem}.pick-card{cursor:grab;text-align:left;background:#ffffffd6;border:1px solid #4a5f6573;border-radius:10px;grid-template-columns:44px 1fr;align-items:center;gap:.32rem;padding:.28rem;display:grid}.pick-card.disabled{opacity:.55;cursor:not-allowed}.pick-image{place-items:center;display:inline-grid}.pick-image svg{width:36px;height:36px}.pick-meta{line-height:1.1;display:grid}.pick-name{font-size:.76rem;font-weight:700}.pick-count{color:var(--muted);font-size:.74rem}.board{background:var(--panel);border:1px solid var(--line);border-radius:18px;grid-template-columns:repeat(5,minmax(0,1fr));gap:.25rem;width:100%;padding:.4rem;display:grid;box-shadow:0 12px 24px #0a182014}.cell{aspect-ratio:1;cursor:pointer;background:#ffffffad;border:1px solid #4a5f6580;border-radius:0;place-items:center;width:100%;transition:background-color .14s,transform .14s;display:grid;position:relative;overflow:hidden}.cell:hover{background:#ffffffe6;transform:translateY(-1px)}.cell.occupied{border-style:solid;font-weight:700}.cell.pending{box-shadow:inset 0 0 0 2px #f3bc3cd9}.cell.available-target{background:radial-gradient(circle,#50be7b2e,#0000 68%),#f5fff8e0;border-color:#2b8a58d1;box-shadow:inset 0 0 0 2px #50be7b2e}.cell.available-target:after{content:"";aspect-ratio:1;background:#2b8a5880;border-radius:50%;width:18%;box-shadow:0 0 0 5px #50be7b1f}.cell.available-target:hover{background:#e5faecfa;border-color:#217a4f;box-shadow:inset 0 0 0 3px #2b8a5847}.cell.shift-target{cursor:move}.cell.shift-target:hover{background:#fff9e0eb;border-color:#f3bc3cf2;box-shadow:inset 0 0 0 2px #f3bc3c4d}.tile-image{z-index:2;pointer-events:none;place-items:center;display:grid;position:absolute;inset:0}.tile-image svg{width:100%;height:100%}.current-layer{pointer-events:none}.current-flow{fill:none;stroke:#ffd34f;stroke-width:4px;stroke-linecap:round;stroke-dasharray:1 10;filter:drop-shadow(0 0 2px #ffa600f2);animation:.65s linear infinite conventional-current}.tile-image.ghost{opacity:.42;filter:saturate(.85)}.cell.rotating{animation:.18s ease-out card-spin}.cell.bulb{--bulb-power:0}.cell.bulb .tile-image{filter:brightness(calc(.9 + var(--bulb-power) * .5))}.cell.bulb.bulb-off .tile-image{filter:brightness()}.cell.bulb.bulb-lit .tile-image{filter:brightness(calc(1 + var(--bulb-power) * .7))}.cell.bulb .tile-image:after{content:"";box-shadow:0 0 calc(4px + var(--bulb-power) * 22px) rgba(255, 206, 84, calc(.08 + var(--bulb-power) * .55));border-radius:10px;position:absolute;inset:10%}.cell.bulb.bulb-off .tile-image:after{box-shadow:0 0 #ffce5400}.cell.bulb.bulb-lit .tile-image:after{box-shadow:0 0 calc(8px + var(--bulb-power) * 26px) rgba(255, 210, 96, calc(.2 + var(--bulb-power) * .6)), inset 0 0 calc(2px + var(--bulb-power) * 8px) rgba(255, 235, 170, calc(.25 + var(--bulb-power) * .55))}.port{z-index:1;background:#2d3a3f;position:absolute}.port-n,.port-s{width:8px;height:50%;left:calc(50% - 4px)}.port-e,.port-w{width:50%;height:8px;top:calc(50% - 4px)}.port-n{top:0}.port-s{bottom:0}.port-e{right:0}.port-w{left:0}.source{z-index:4;color:#26353b;pointer-events:none;background:#ffffffd6;border:1px solid #4a5f658c;border-radius:999px;place-items:center;width:28px;height:28px;padding:0;font-size:1.45rem;font-weight:800;display:grid;position:absolute;top:50%;left:50%;transform:translate(-50%,-50%)}.cell.terminal-pos:before,.cell.terminal-pos:after,.cell.terminal-neg:before,.cell.terminal-neg:after{content:"";z-index:3;background:#2f3e45;position:absolute}.cell.terminal-pos:before{width:8px;height:50%;top:50%;left:calc(50% - 4px)}.cell.terminal-pos:after{width:50%;height:8px;top:calc(50% - 4px);left:50%}.cell.terminal-neg:before{width:8px;height:50%;bottom:50%;left:calc(50% - 4px)}.cell.terminal-neg:after{width:50%;height:8px;top:calc(50% - 4px);right:50%}.pending-tag{z-index:4;color:#4a3905;pointer-events:none;background:#f3bc3cf2;border-radius:4px;padding:1px 4px;font-size:.58rem;position:absolute;bottom:5px;left:5px}.panel{border:1px solid var(--line);background:var(--panel);border-radius:16px;padding:.72rem;box-shadow:0 8px 18px #0a182014}.panel h3{margin-top:0;margin-bottom:.35rem;font-size:1rem}.modal-backdrop{z-index:30;background:#0c161c73;place-items:center;padding:1rem;display:grid;position:fixed;inset:0}.modal{border:1px solid var(--line);-webkit-backdrop-filter:blur(14px)saturate(1.15);background:#fffcf5d6;border-radius:14px;width:min(560px,100%);max-height:min(86vh,760px);overflow:auto;box-shadow:0 20px 36px #0510163d}.draw-backdrop{background:#0c161c9e}.draw-modal{text-align:center;border-color:#b56c20b3;width:min(440px,100%);padding:1.35rem;position:relative}.draw-symbol{color:#8b5218;background:#fff0cf;border-radius:50%;place-items:center;width:48px;height:48px;margin:0 auto .75rem;font-size:1.6rem;font-weight:800;display:grid}.draw-modal h3{font-family:var(--font-display);margin:0;font-size:1.45rem}.draw-modal p{color:var(--muted);margin:.55rem auto 1rem;line-height:1.45}.draw-action{min-width:160px}.result-backdrop{background:#0c161ca8}.winner-modal{text-align:center;width:min(460px,100%);padding:1.35rem;position:relative}.winner-modal h2{font-family:var(--font-display);margin:.2rem 0 0;font-size:1.75rem}.winner-modal>p:not(.setup-eyebrow){color:var(--muted);margin:.4rem 0 1rem}.winner-symbol{color:#fff;background:var(--blue);border-radius:50%;place-items:center;width:50px;height:50px;margin:.6rem auto .35rem;font-size:1.35rem;display:grid}.winner-symbol.red{background:var(--red)}.winner-symbol.tied{color:#8b5218;background:#fff0cf}.final-scores{grid-template-columns:1fr 1fr;gap:.55rem;margin-bottom:1rem;display:grid}.final-score{border:1px solid var(--line);background:#ffffffb3;border-radius:11px;gap:.15rem;padding:.7rem;display:grid}.final-score.red{border-top:4px solid var(--red)}.final-score.blue{border-top:4px solid var(--blue)}.final-score span{color:var(--muted);font-size:.75rem}.final-score strong{font-family:var(--font-display);font-size:1.2rem}.result-close{position:absolute;top:.7rem;right:.7rem}.result-actions{flex-wrap:wrap;justify-content:center;gap:.5rem;display:flex}.final-calculation-backdrop{z-index:55;background:#0c161ca3}.final-calculation-modal{width:min(760px,100%);max-height:min(86vh,760px);overflow:auto}.brightness-explanation{color:var(--muted);margin:.65rem 0 1rem;line-height:1.5}.team-calculation-grid{grid-template-columns:repeat(2,minmax(0,1fr));gap:.8rem;display:grid}.team-calculation{border:1px solid var(--line);border-top:5px solid var(--red);background:#ffffffad;border-radius:14px;padding:.85rem}.team-calculation.blue{border-top-color:var(--blue)}.team-calculation>header,.team-calculation>header>div{justify-content:space-between;align-items:center;gap:.45rem;display:flex}.team-calculation h4{font-family:var(--font-display);margin:0}.team-calculation>header>strong{font-family:var(--font-display);font-size:1.2rem}.bulb-calculation-list{gap:.45rem;margin-top:.75rem;display:grid}.bulb-calculation{background:#f3f7f3db;border-radius:10px;gap:.3rem;padding:.6rem;display:grid;overflow-x:auto}.bulb-calculation>span{justify-content:space-between;gap:.5rem;font-weight:800;display:flex}.bulb-calculation small,.no-bulbs{color:var(--muted)}.team-total-equation{border-top:1px dashed var(--line);margin-top:.7rem;padding-top:.65rem;overflow-x:auto}.calculation-done{margin:1rem auto 0;display:flex}.setup-backdrop{background:radial-gradient(circle at 50% 20%,#f3bc3c29,#0000 36%),#0c161cad}.setup-modal{text-align:center;width:min(680px,100%);padding:1.35rem}.setup-modal h2{font-family:var(--font-display);margin:.12rem 0 0;font-size:clamp(1.5rem,4vw,2rem)}.setup-eyebrow{color:#8b5218;letter-spacing:.14em;text-transform:uppercase;margin:0;font-size:.7rem;font-weight:800}.setup-copy{color:var(--muted);margin:.35rem 0 1rem}.mode-grid,.persona-grid{gap:.7rem;display:grid}.mode-grid{grid-template-columns:repeat(2,minmax(0,1fr))}.persona-grid{grid-template-columns:repeat(3,minmax(0,1fr))}.mode-card,.persona-card{border:1px solid var(--line);color:var(--ink);cursor:pointer;background:#ffffffb8;border-radius:14px;justify-items:center;gap:.25rem;padding:1rem;font-family:inherit;transition:transform .14s,border-color .14s,box-shadow .14s;display:grid}.mode-card strong,.persona-card strong{font-size:1.05rem}.mode-card>span:last-child,.persona-description{color:var(--muted);font-size:.78rem;line-height:1.35}.mode-icon{background:var(--red-soft);width:42px;height:42px;color:var(--red);border-radius:50%;place-items:center;font-size:1.15rem;font-weight:800;display:grid}.mode-icon.two{background:linear-gradient(90deg, var(--red-soft) 50%, var(--blue-soft) 50%);color:var(--blue)}.persona-level{color:var(--muted);letter-spacing:.08em;text-transform:uppercase;background:#eef2ef;border-radius:999px;padding:.15rem .45rem;font-size:.62rem;font-weight:800}.persona-card.medium .persona-level{color:#8b5218;background:#fff0cf}.persona-card.hard .persona-level{color:#9a2e21;background:#fde1dd}.persona-title{color:var(--blue);font-size:.72rem;font-weight:700}.setup-back{margin-top:.8rem}.setup-leaderboard{margin-top:.75rem}.player-name-form{text-align:left;gap:.7rem;width:min(430px,100%);margin:1rem auto 0;display:grid}.player-name-form label,.computer-opponent{border:1px solid var(--line);background:#ffffff9e;border-radius:11px;gap:.3rem;padding:.72rem;display:grid}.player-name-form label>span,.computer-opponent>span{color:var(--muted);font-size:.72rem;font-weight:700}.player-name-form input{width:100%;color:var(--ink);font:600 .95rem/1.2 var(--font-body);background:#ffffffc7;border:1px solid #4a5f657a;border-radius:8px;outline:none;padding:.62rem .7rem}.player-name-form input:focus{border-color:#217a4f;box-shadow:0 0 0 3px #2b8a5826}.computer-opponent strong{font-size:1rem}.computer-opponent small{color:var(--blue)}.start-game-button{justify-self:stretch;margin-top:.1rem}.score-submission{background:#ffffff75;border-radius:14px;margin-top:.85rem;padding:.8rem}.score-submission>p{color:var(--muted);text-align:center;margin:0;font-size:.82rem;font-weight:700}.score-submission label small{color:var(--blue);font-weight:800}.score-submitted{color:#176e43;margin:.9rem 0 0;font-weight:800}.leaderboard-backdrop{z-index:45;background:#0c161ca3}.leaderboard-modal{width:min(620px,100%)}.leaderboard-content{padding:.75rem}.leaderboard-list{gap:.35rem;margin:0;padding:0;list-style:none;display:grid}.leaderboard-list li{background:#ffffff9e;border:1px solid #9fb0a9b8;border-radius:10px;grid-template-columns:32px minmax(0,1fr) minmax(92px,auto);align-items:center;gap:.55rem;padding:.55rem .65rem;display:grid}.leaderboard-rank{color:var(--muted);font-family:var(--font-display);text-align:center;font-size:1rem}.leaderboard-player{min-width:0;display:grid}.leaderboard-player strong{text-overflow:ellipsis;white-space:nowrap;overflow:hidden}.leaderboard-player small{color:var(--muted);font-size:.66rem}.leaderboard-team{text-transform:uppercase;border-radius:999px;padding:.13rem .38rem;font-size:.62rem;font-weight:800}.leaderboard-team.red{color:#9a2e21;background:var(--red-soft)}.leaderboard-team.blue{color:#1f4f8d;background:var(--blue-soft)}.leaderboard-score{font-family:var(--font-display);text-align:right}.leaderboard-score.positive{color:var(--green-dark)}.leaderboard-score.negative{color:var(--red)}.empty-leaderboard{min-height:190px;color:var(--muted);place-content:center;justify-items:center;display:grid}.empty-leaderboard>span{opacity:.55;margin-bottom:.45rem;font-size:1.6rem}.leaderboard-loader{border:3px solid #4a5f6533;border-top-color:#217a4f;border-radius:50%;width:26px;height:26px;animation:.7s linear infinite leaderboard-spin}.leaderboard-notice{color:#8b5218;text-align:center;margin:.6rem 0 0;font-size:.72rem}.empty-leaderboard p{margin:.2rem 0 0;font-size:.8rem}@keyframes leaderboard-spin{to{transform:rotate(360deg)}}.ai-input-shield{z-index:12;cursor:wait;position:fixed;inset:0}.ai-turn-active .board,.ai-turn-active .picker-wrap{filter:saturate(.75)}.modal-header{z-index:2;border-bottom:1px solid var(--line);-webkit-backdrop-filter:blur(12px);background:#fffcf5c7;justify-content:space-between;align-items:center;gap:1rem;padding:.85rem .95rem;display:flex;position:sticky;top:0}.modal-header h3{margin:0;font-size:1.15rem}.modal-content{padding:.9rem .95rem 1rem}.modal-content h4{margin:.75rem 0 .35rem;font-size:1rem}.modal-content p{color:var(--muted);margin:0 0 .35rem}.modal-content ul{color:var(--muted);margin:.5rem 0 0;padding-left:1.1rem}.panel p{color:var(--muted);margin:0}.panel ul{color:var(--muted);margin:.75rem 0;padding-left:1.1rem}.hint{font-size:.92rem}.result{color:var(--ink);background:#fffc;border:1px solid #245ea859;border-radius:10px;margin-top:.8rem;padding:.6rem;font-weight:700}@keyframes card-spin{0%{transform:rotate(0)}to{transform:rotate(90deg)}}@keyframes conventional-current{0%{stroke-dashoffset:11px}to{stroke-dashoffset:0}}@media (prefers-reduced-motion:reduce){.current-flow{stroke-dasharray:3 8;animation:none}}@media (width<=900px){.corner-reset{top:auto;bottom:.65rem;right:.65rem}.arena{grid-template-columns:1fr}.board{width:100%}.hud-left{flex-wrap:wrap;width:100%}.side-column{max-height:none;position:static;overflow:visible}.picker{grid-template-columns:repeat(2,minmax(0,1fr))}.persona-grid{grid-template-columns:1fr}.board{gap:.4rem;padding:.7rem}}@media (width<=560px){.mode-grid{grid-template-columns:1fr}.leaderboard-list li{grid-template-columns:25px minmax(0,1fr) auto}.leaderboard-team{display:none}}.ambient{opacity:.45;background-size:52px 52px;-webkit-mask-image:radial-gradient(circle,#000 25%,#0000 88%);mask-image:radial-gradient(circle,#000 25%,#0000 88%)}.status,.card,.controls,.picker-wrap,.panel,.board{border-width:2px;border-color:var(--line)}.status{background:#ffffffe0;padding:.42rem .75rem;font-weight:800;box-shadow:0 3px #75978b38}.dot{width:12px;height:12px;box-shadow:inset 0 -2px #0000001f}.controls{background:#ffffffd1;border-radius:16px;box-shadow:0 4px #75978b33}.action-hint{font-weight:800}.help-icon{color:#59717c;background:#ffffffc7;border-width:2px;border-color:#c6d9d2;width:27px;height:27px;box-shadow:0 2px #6075812e}.help-icon:hover{border-color:var(--green);color:var(--green-dark);background:#fff;transform:translateY(-1px)}.calculation-icon{color:var(--purple)}.tool{background:#fff;border-width:2px;border-color:#c8dad4;border-radius:12px;padding:.5rem .78rem;font-weight:800;box-shadow:0 3px #b8ccc5}.tool:hover{transform:translateY(-2px);box-shadow:0 5px #b8ccc5}.tool:active{transform:translateY(2px);box-shadow:0 1px #b8ccc5}.tool.primary{border-color:var(--green-dark);background:var(--green);box-shadow:0 4px #248f49}.tool.primary:hover{background:#63d482;box-shadow:0 6px #248f49}.tool.primary:disabled{color:#7d928b;background:#cfddd8;border-color:#adc2bb;box-shadow:0 3px #adc2bb}.card{background:#ffffffe6;border-radius:18px;box-shadow:0 4px #75978b33}.card.red{border-left:7px solid var(--red);background:linear-gradient(145deg,#ffedeaeb,#fff)}.card.blue{border-left:7px solid var(--blue);background:linear-gradient(145deg,#ebf3fff0,#fff)}.watts{color:var(--ink);font-weight:900}.picker-wrap{background:#ffffffd9;border-radius:17px;box-shadow:0 4px #75978b33}.picker-heading strong{color:var(--green-dark)}.pick-card{background:#ffffffe6;border-width:2px;border-color:#d1dfda;border-radius:13px;transition:transform .14s,box-shadow .14s,border-color .14s;box-shadow:0 3px #c5d6d0}.pick-card:hover:not(.disabled){border-color:var(--green);transform:translateY(-2px);box-shadow:0 5px #a8cdb8}.pick-card.selected{border-color:var(--gold);background:#fff9dc;box-shadow:0 4px #e9af21}.pick-count{background:#edf4f1;border-radius:999px;width:fit-content;margin-top:.15rem;padding:.1rem .35rem;font-weight:800}.board{background:#ffffffeb;border-radius:22px;gap:.42rem;padding:.55rem;box-shadow:0 7px #b8cec6,0 15px 28px #385b4e1f}.cell{background:#fdfefd;border-width:2px;border-color:#d2dfda;border-radius:13px;box-shadow:0 2px #8aa59b3d}.cell:hover{transform:translateY(-2px);box-shadow:0 4px #8aa59b4d}.cell.red{background:#fff5f3;border-color:#ff665794}.cell.blue{background:#f2f7ff;border-color:#4d8ff794}.cell.available-target{border-color:var(--green);background:radial-gradient(circle,#58c77833,#0000 68%),#f3fff6;box-shadow:0 3px #9ed9b0}.cell.available-target:after{background:var(--green)}.pending-tag{background:var(--gold);color:#5b4200;border-radius:999px;padding:2px 6px;font-weight:900}.panel{background:#ffffffdb;border-radius:17px;box-shadow:0 4px #75978b33}.panel h3{color:var(--purple)}.modal{border-width:2px;border-radius:22px;box-shadow:0 8px #19372e4d,0 26px 55px #05101640}.mode-card,.persona-card{border-width:2px;border-radius:17px;box-shadow:0 4px #bfd0ca}.mode-card:hover,.persona-card:hover{border-color:var(--green);transform:translateY(-3px);box-shadow:0 7px #9fcbb0}.calculation-backdrop{z-index:46;background:#22384394}.calculation-modal{width:min(760px,100%);max-height:min(90vh,900px)}.calculation-header h3{margin-top:.12rem;font-size:1.25rem}.calculation-content{gap:.8rem;padding:1rem;display:grid}.physics-intro{background:#fff9d8c7;border:2px solid #f0d069;border-radius:16px;grid-template-columns:auto 1fr;align-items:center;gap:.8rem;padding:.85rem;display:grid}.physics-intro p,.formula-card p{color:var(--muted);margin:.25rem 0 0;line-height:1.48}.physics-mascot{filter:drop-shadow(0 3px #d29d0f33);font-size:2.6rem}.formula-card{background:#ffffffb8;border:2px solid #d6e3de;border-radius:16px;grid-template-columns:34px 1fr;gap:.7rem;padding:.85rem;display:grid;position:relative;box-shadow:0 3px #c4d6cf}.formula-card h4{color:var(--ink);margin:0 0 .35rem;font-size:1rem}.formula-step{background:var(--green);color:#fff;width:32px;height:32px;box-shadow:0 3px 0 var(--green-dark);border-radius:50%;place-items:center;font-weight:900;display:grid}.parallel-card{background:#eef5ffc7;border-color:#4d8ff780}.parallel-card .formula-step{background:var(--blue);box-shadow:0 3px #2b68c4}.series-card{border-color:#ff66576b}.solver-card{background:#f7f3ffc7;border-color:#9b7af573}.solver-card .formula-step{background:var(--purple);box-shadow:0 3px #7153c9}.short-card{background:#ffefeccc;border-color:#ff66579e}.short-card .formula-step{background:var(--red);box-shadow:0 3px #cc4337}.equation{padding:.4rem 0;overflow-x:auto}.equation-grid{grid-template-columns:repeat(2,minmax(0,1fr));gap:.4rem;display:grid}.equation-grid>div{background:#ffffffb8;border-radius:10px;padding:.45rem;overflow-x:auto}.circuit-labels{align-items:center;width:min(210px,100%);margin:.25rem auto .5rem;font-size:1.5rem;display:flex}.circuit-wire{background:var(--red);border-radius:999px;flex:1;height:5px}.parallel-picture{border-left:5px solid var(--blue);border-right:5px solid var(--blue);justify-content:space-around;width:min(210px,100%);margin:.25rem auto .5rem;padding:.45rem;font-size:1.5rem;display:flex}.katex-display{margin:.25rem 0;overflow:auto hidden}@media (width<=620px){.team-calculation-grid,.equation-grid{grid-template-columns:1fr}.formula-card{grid-template-columns:30px minmax(0,1fr);padding:.7rem}.calculation-content{padding:.7rem}}@font-face{font-display:block;font-family:KaTeX_AMS;font-style:normal;font-weight:400;src:url(./KaTeX_AMS-Regular-BQhdFMY1.woff2)format("woff2"),url(./KaTeX_AMS-Regular-DMm9YOAa.woff)format("woff"),url(./KaTeX_AMS-Regular-DRggAlZN.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url(./KaTeX_Caligraphic-Bold-Dq_IR9rO.woff2)format("woff2"),url(./KaTeX_Caligraphic-Bold-BEiXGLvX.woff)format("woff"),url(./KaTeX_Caligraphic-Bold-ATXxdsX0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url(./KaTeX_Caligraphic-Regular-Di6jR-x-.woff2)format("woff2"),url(./KaTeX_Caligraphic-Regular-CTRA-rTL.woff)format("woff"),url(./KaTeX_Caligraphic-Regular-wX97UBjC.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:700;src:url(./KaTeX_Fraktur-Bold-CL6g_b3V.woff2)format("woff2"),url(./KaTeX_Fraktur-Bold-BsDP51OF.woff)format("woff"),url(./KaTeX_Fraktur-Bold-BdnERNNW.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Fraktur;font-style:normal;font-weight:400;src:url(./KaTeX_Fraktur-Regular-CTYiF6lA.woff2)format("woff2"),url(./KaTeX_Fraktur-Regular-Dxdc4cR9.woff)format("woff"),url(./KaTeX_Fraktur-Regular-CB_wures.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:700;src:url(./KaTeX_Main-Bold-Cx986IdX.woff2)format("woff2"),url(./KaTeX_Main-Bold-Jm3AIy58.woff)format("woff"),url(./KaTeX_Main-Bold-waoOVXN0.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:700;src:url(./KaTeX_Main-BoldItalic-DxDJ3AOS.woff2)format("woff2"),url(./KaTeX_Main-BoldItalic-SpSLRI95.woff)format("woff"),url(./KaTeX_Main-BoldItalic-DzxPMmG6.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:italic;font-weight:400;src:url(./KaTeX_Main-Italic-NWA7e6Wa.woff2)format("woff2"),url(./KaTeX_Main-Italic-BMLOBm91.woff)format("woff"),url(./KaTeX_Main-Italic-3WenGoN9.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Main;font-style:normal;font-weight:400;src:url(./KaTeX_Main-Regular-B22Nviop.woff2)format("woff2"),url(./KaTeX_Main-Regular-Dr94JaBh.woff)format("woff"),url(./KaTeX_Main-Regular-ypZvNtVU.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:700;src:url(./KaTeX_Math-BoldItalic-CZnvNsCZ.woff2)format("woff2"),url(./KaTeX_Math-BoldItalic-iY-2wyZ7.woff)format("woff"),url(./KaTeX_Math-BoldItalic-B3XSjfu4.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Math;font-style:italic;font-weight:400;src:url(./KaTeX_Math-Italic-t53AETM-.woff2)format("woff2"),url(./KaTeX_Math-Italic-DA0__PXp.woff)format("woff"),url(./KaTeX_Math-Italic-flOr_0UB.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:700;src:url(./KaTeX_SansSerif-Bold-D1sUS0GD.woff2)format("woff2"),url(./KaTeX_SansSerif-Bold-DbIhKOiC.woff)format("woff"),url(./KaTeX_SansSerif-Bold-CFMepnvq.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:italic;font-weight:400;src:url(./KaTeX_SansSerif-Italic-C3H0VqGB.woff2)format("woff2"),url(./KaTeX_SansSerif-Italic-DN2j7dab.woff)format("woff"),url(./KaTeX_SansSerif-Italic-YYjJ1zSn.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_SansSerif;font-style:normal;font-weight:400;src:url(./KaTeX_SansSerif-Regular-DDBCnlJ7.woff2)format("woff2"),url(./KaTeX_SansSerif-Regular-CS6fqUqJ.woff)format("woff"),url(./KaTeX_SansSerif-Regular-BNo7hRIc.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Script;font-style:normal;font-weight:400;src:url(./KaTeX_Script-Regular-D3wIWfF6.woff2)format("woff2"),url(./KaTeX_Script-Regular-D5yQViql.woff)format("woff"),url(./KaTeX_Script-Regular-C5JkGWo-.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size1;font-style:normal;font-weight:400;src:url(./KaTeX_Size1-Regular-mCD8mA8B.woff2)format("woff2"),url(./KaTeX_Size1-Regular-C195tn64.woff)format("woff"),url(./KaTeX_Size1-Regular-Dbsnue_I.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size2;font-style:normal;font-weight:400;src:url(./KaTeX_Size2-Regular-Dy4dx90m.woff2)format("woff2"),url(./KaTeX_Size2-Regular-oD1tc_U0.woff)format("woff"),url(./KaTeX_Size2-Regular-B7gKUWhC.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size3;font-style:normal;font-weight:400;src:url(data:font/woff2;base64,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)format("woff2"),url(./KaTeX_Size3-Regular-CTq5MqoE.woff)format("woff"),url(./KaTeX_Size3-Regular-DgpXs0kz.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Size4;font-style:normal;font-weight:400;src:url(./KaTeX_Size4-Regular-Dl5lxZxV.woff2)format("woff2"),url(./KaTeX_Size4-Regular-BF-4gkZK.woff)format("woff"),url(./KaTeX_Size4-Regular-DWFBv043.ttf)format("truetype")}@font-face{font-display:block;font-family:KaTeX_Typewriter;font-style:normal;font-weight:400;src:url(./KaTeX_Typewriter-Regular-CO6r4hn1.woff2)format("woff2"),url(./KaTeX_Typewriter-Regular-C0xS9mPB.woff)format("woff"),url(./KaTeX_Typewriter-Regular-D3Ib7_Hf.ttf)format("truetype")}.katex{text-indent:0;text-rendering:auto;font:1.21em/1.2 KaTeX_Main,Times New Roman,serif;position:relative}.katex *{border-color:currentColor;-ms-high-contrast-adjust:none!important}.katex .katex-version:after{content:"0.18.1"}.katex .katex-mathml{clip-path:inset(50%);border:0;width:1px;height:1px;padding:0;position:absolute;overflow:hidden}.katex .katex-html>.katex-newline{display:block}.katex .katex-base{white-space:nowrap;width:min-content;position:relative}.katex .katex-base,.katex .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 .mathsfit,.katex .textitsf{font-family:KaTeX_SansSerif;font-style:italic}.katex .mainrm{font-family:KaTeX_Main;font-style:normal}.katex .vlist-t{border-collapse:collapse;table-layout:fixed;display:inline-table}.katex .vlist-r{display:table-row}.katex .vlist{vertical-align:bottom;display:table-cell;position:relative}.katex .vlist>span{height:0;display:block;position:relative}.katex .vlist>span>span{display:inline-block}.katex .vlist>span>.pstrut{width:0;overflow:hidden}.katex .vlist-t2{margin-right:-2px}.katex .vlist-s{vertical-align:bottom;width:2px;min-width:2px;font-size:1px;display:table-cell}.katex .katex-vbox{flex-direction:column;align-items:baseline;display:inline-flex}.katex .katex-thinbox{flex-direction:row;width:0;max-width:0;display:inline-flex}.katex .msupsub{text-align:left}.katex .mfrac>span>span{text-align:center}.katex .mfrac .frac-line{border-bottom-style:solid;width:100%;display:inline-block}.katex .katex-hdashline,.katex .katex-hline,.katex .katex-overline .overline-line,.katex .katex-rule,.katex .katex-underline .underline-line,.katex .mfrac .frac-line{min-height:1px}.katex .mspace{display:inline-block}.katex .katex-smash{line-height:0;display:inline}.katex .clap,.katex .llap,.katex .rlap{width:0;position:relative}.katex .clap>.katex-inner,.katex .llap>.katex-inner,.katex .rlap>.katex-inner{position:absolute}.katex .clap>.katex-fix,.katex .llap>.katex-fix,.katex .rlap>.katex-fix{display:inline-block}.katex .llap>.katex-inner{right:0}.katex .clap>.katex-inner,.katex .rlap>.katex-inner{left:0}.katex .clap>.katex-inner>span{margin-left:-50%;margin-right:50%}.katex .katex-rule{border:0 solid;display:inline-block;position:relative}.katex .katex-hline,.katex .katex-overline .overline-line,.katex .katex-underline .underline-line{border-bottom-style:solid;width:100%;display:inline-block}.katex .katex-hdashline{border-bottom-style:dashed;width:100%;display:inline-block}.katex .sqrt>.katex-root{margin-left:.277778em;margin-right:-.555556em}.katex .fontsize-ensurer.reset-size1.size1,.katex .katex-sizing.reset-size1.size1{font-size:1em}.katex .fontsize-ensurer.reset-size1.size2,.katex .katex-sizing.reset-size1.size2{font-size:1.2em}.katex .fontsize-ensurer.reset-size1.size3,.katex .katex-sizing.reset-size1.size3{font-size:1.4em}.katex .fontsize-ensurer.reset-size1.size4,.katex .katex-sizing.reset-size1.size4{font-size:1.6em}.katex .fontsize-ensurer.reset-size1.size5,.katex .katex-sizing.reset-size1.size5{font-size:1.8em}.katex .fontsize-ensurer.reset-size1.size6,.katex .katex-sizing.reset-size1.size6{font-size:2em}.katex .fontsize-ensurer.reset-size1.size7,.katex .katex-sizing.reset-size1.size7{font-size:2.4em}.katex .fontsize-ensurer.reset-size1.size8,.katex .katex-sizing.reset-size1.size8{font-size:2.88em}.katex .fontsize-ensurer.reset-size1.size9,.katex .katex-sizing.reset-size1.size9{font-size:3.456em}.katex .fontsize-ensurer.reset-size1.size10,.katex .katex-sizing.reset-size1.size10{font-size:4.148em}.katex .fontsize-ensurer.reset-size1.size11,.katex .katex-sizing.reset-size1.size11{font-size:4.976em}.katex .fontsize-ensurer.reset-size2.size1,.katex .katex-sizing.reset-size2.size1{font-size:.833333em}.katex .fontsize-ensurer.reset-size2.size2,.katex .katex-sizing.reset-size2.size2{font-size:1em}.katex .fontsize-ensurer.reset-size2.size3,.katex .katex-sizing.reset-size2.size3{font-size:1.16667em}.katex .fontsize-ensurer.reset-size2.size4,.katex .katex-sizing.reset-size2.size4{font-size:1.33333em}.katex .fontsize-ensurer.reset-size2.size5,.katex .katex-sizing.reset-size2.size5{font-size:1.5em}.katex .fontsize-ensurer.reset-size2.size6,.katex .katex-sizing.reset-size2.size6{font-size:1.66667em}.katex .fontsize-ensurer.reset-size2.size7,.katex .katex-sizing.reset-size2.size7{font-size:2em}.katex .fontsize-ensurer.reset-size2.size8,.katex .katex-sizing.reset-size2.size8{font-size:2.4em}.katex .fontsize-ensurer.reset-size2.size9,.katex .katex-sizing.reset-size2.size9{font-size:2.88em}.katex .fontsize-ensurer.reset-size2.size10,.katex .katex-sizing.reset-size2.size10{font-size:3.45667em}.katex .fontsize-ensurer.reset-size2.size11,.katex .katex-sizing.reset-size2.size11{font-size:4.14667em}.katex .fontsize-ensurer.reset-size3.size1,.katex .katex-sizing.reset-size3.size1{font-size:.714286em}.katex .fontsize-ensurer.reset-size3.size2,.katex .katex-sizing.reset-size3.size2{font-size:.857143em}.katex .fontsize-ensurer.reset-size3.size3,.katex .katex-sizing.reset-size3.size3{font-size:1em}.katex .fontsize-ensurer.reset-size3.size4,.katex .katex-sizing.reset-size3.size4{font-size:1.14286em}.katex .fontsize-ensurer.reset-size3.size5,.katex .katex-sizing.reset-size3.size5{font-size:1.28571em}.katex .fontsize-ensurer.reset-size3.size6,.katex .katex-sizing.reset-size3.size6{font-size:1.42857em}.katex .fontsize-ensurer.reset-size3.size7,.katex .katex-sizing.reset-size3.size7{font-size:1.71429em}.katex .fontsize-ensurer.reset-size3.size8,.katex .katex-sizing.reset-size3.size8{font-size:2.05714em}.katex .fontsize-ensurer.reset-size3.size9,.katex .katex-sizing.reset-size3.size9{font-size:2.46857em}.katex .fontsize-ensurer.reset-size3.size10,.katex .katex-sizing.reset-size3.size10{font-size:2.96286em}.katex .fontsize-ensurer.reset-size3.size11,.katex .katex-sizing.reset-size3.size11{font-size:3.55429em}.katex .fontsize-ensurer.reset-size4.size1,.katex .katex-sizing.reset-size4.size1{font-size:.625em}.katex .fontsize-ensurer.reset-size4.size2,.katex .katex-sizing.reset-size4.size2{font-size:.75em}.katex .fontsize-ensurer.reset-size4.size3,.katex .katex-sizing.reset-size4.size3{font-size:.875em}.katex .fontsize-ensurer.reset-size4.size4,.katex .katex-sizing.reset-size4.size4{font-size:1em}.katex .fontsize-ensurer.reset-size4.size5,.katex .katex-sizing.reset-size4.size5{font-size:1.125em}.katex .fontsize-ensurer.reset-size4.size6,.katex .katex-sizing.reset-size4.size6{font-size:1.25em}.katex .fontsize-ensurer.reset-size4.size7,.katex .katex-sizing.reset-size4.size7{font-size:1.5em}.katex .fontsize-ensurer.reset-size4.size8,.katex .katex-sizing.reset-size4.size8{font-size:1.8em}.katex .fontsize-ensurer.reset-size4.size9,.katex .katex-sizing.reset-size4.size9{font-size:2.16em}.katex .fontsize-ensurer.reset-size4.size10,.katex .katex-sizing.reset-size4.size10{font-size:2.5925em}.katex .fontsize-ensurer.reset-size4.size11,.katex .katex-sizing.reset-size4.size11{font-size:3.11em}.katex .fontsize-ensurer.reset-size5.size1,.katex .katex-sizing.reset-size5.size1{font-size:.555556em}.katex .fontsize-ensurer.reset-size5.size2,.katex .katex-sizing.reset-size5.size2{font-size:.666667em}.katex .fontsize-ensurer.reset-size5.size3,.katex .katex-sizing.reset-size5.size3{font-size:.777778em}.katex .fontsize-ensurer.reset-size5.size4,.katex .katex-sizing.reset-size5.size4{font-size:.888889em}.katex .fontsize-ensurer.reset-size5.size5,.katex .katex-sizing.reset-size5.size5{font-size:1em}.katex .fontsize-ensurer.reset-size5.size6,.katex .katex-sizing.reset-size5.size6{font-size:1.11111em}.katex .fontsize-ensurer.reset-size5.size7,.katex .katex-sizing.reset-size5.size7{font-size:1.33333em}.katex .fontsize-ensurer.reset-size5.size8,.katex .katex-sizing.reset-size5.size8{font-size:1.6em}.katex .fontsize-ensurer.reset-size5.size9,.katex .katex-sizing.reset-size5.size9{font-size:1.92em}.katex .fontsize-ensurer.reset-size5.size10,.katex .katex-sizing.reset-size5.size10{font-size:2.30444em}.katex .fontsize-ensurer.reset-size5.size11,.katex .katex-sizing.reset-size5.size11{font-size:2.76444em}.katex .fontsize-ensurer.reset-size6.size1,.katex .katex-sizing.reset-size6.size1{font-size:.5em}.katex .fontsize-ensurer.reset-size6.size2,.katex .katex-sizing.reset-size6.size2{font-size:.6em}.katex .fontsize-ensurer.reset-size6.size3,.katex .katex-sizing.reset-size6.size3{font-size:.7em}.katex .fontsize-ensurer.reset-size6.size4,.katex .katex-sizing.reset-size6.size4{font-size:.8em}.katex .fontsize-ensurer.reset-size6.size5,.katex .katex-sizing.reset-size6.size5{font-size:.9em}.katex .fontsize-ensurer.reset-size6.size6,.katex .katex-sizing.reset-size6.size6{font-size:1em}.katex .fontsize-ensurer.reset-size6.size7,.katex .katex-sizing.reset-size6.size7{font-size:1.2em}.katex .fontsize-ensurer.reset-size6.size8,.katex .katex-sizing.reset-size6.size8{font-size:1.44em}.katex .fontsize-ensurer.reset-size6.size9,.katex .katex-sizing.reset-size6.size9{font-size:1.728em}.katex .fontsize-ensurer.reset-size6.size10,.katex .katex-sizing.reset-size6.size10{font-size:2.074em}.katex .fontsize-ensurer.reset-size6.size11,.katex .katex-sizing.reset-size6.size11{font-size:2.488em}.katex .fontsize-ensurer.reset-size7.size1,.katex .katex-sizing.reset-size7.size1{font-size:.416667em}.katex .fontsize-ensurer.reset-size7.size2,.katex .katex-sizing.reset-size7.size2{font-size:.5em}.katex .fontsize-ensurer.reset-size7.size3,.katex .katex-sizing.reset-size7.size3{font-size:.583333em}.katex .fontsize-ensurer.reset-size7.size4,.katex .katex-sizing.reset-size7.size4{font-size:.666667em}.katex .fontsize-ensurer.reset-size7.size5,.katex .katex-sizing.reset-size7.size5{font-size:.75em}.katex .fontsize-ensurer.reset-size7.size6,.katex .katex-sizing.reset-size7.size6{font-size:.833333em}.katex .fontsize-ensurer.reset-size7.size7,.katex .katex-sizing.reset-size7.size7{font-size:1em}.katex .fontsize-ensurer.reset-size7.size8,.katex .katex-sizing.reset-size7.size8{font-size:1.2em}.katex .fontsize-ensurer.reset-size7.size9,.katex .katex-sizing.reset-size7.size9{font-size:1.44em}.katex .fontsize-ensurer.reset-size7.size10,.katex .katex-sizing.reset-size7.size10{font-size:1.72833em}.katex .fontsize-ensurer.reset-size7.size11,.katex .katex-sizing.reset-size7.size11{font-size:2.07333em}.katex .fontsize-ensurer.reset-size8.size1,.katex .katex-sizing.reset-size8.size1{font-size:.347222em}.katex .fontsize-ensurer.reset-size8.size2,.katex .katex-sizing.reset-size8.size2{font-size:.416667em}.katex .fontsize-ensurer.reset-size8.size3,.katex .katex-sizing.reset-size8.size3{font-size:.486111em}.katex .fontsize-ensurer.reset-size8.size4,.katex .katex-sizing.reset-size8.size4{font-size:.555556em}.katex .fontsize-ensurer.reset-size8.size5,.katex .katex-sizing.reset-size8.size5{font-size:.625em}.katex .fontsize-ensurer.reset-size8.size6,.katex .katex-sizing.reset-size8.size6{font-size:.694444em}.katex .fontsize-ensurer.reset-size8.size7,.katex .katex-sizing.reset-size8.size7{font-size:.833333em}.katex .fontsize-ensurer.reset-size8.size8,.katex .katex-sizing.reset-size8.size8{font-size:1em}.katex .fontsize-ensurer.reset-size8.size9,.katex .katex-sizing.reset-size8.size9{font-size:1.2em}.katex .fontsize-ensurer.reset-size8.size10,.katex .katex-sizing.reset-size8.size10{font-size:1.44028em}.katex .fontsize-ensurer.reset-size8.size11,.katex .katex-sizing.reset-size8.size11{font-size:1.72778em}.katex .fontsize-ensurer.reset-size9.size1,.katex .katex-sizing.reset-size9.size1{font-size:.289352em}.katex .fontsize-ensurer.reset-size9.size2,.katex .katex-sizing.reset-size9.size2{font-size:.347222em}.katex .fontsize-ensurer.reset-size9.size3,.katex .katex-sizing.reset-size9.size3{font-size:.405093em}.katex .fontsize-ensurer.reset-size9.size4,.katex .katex-sizing.reset-size9.size4{font-size:.462963em}.katex .fontsize-ensurer.reset-size9.size5,.katex .katex-sizing.reset-size9.size5{font-size:.520833em}.katex .fontsize-ensurer.reset-size9.size6,.katex .katex-sizing.reset-size9.size6{font-size:.578704em}.katex .fontsize-ensurer.reset-size9.size7,.katex .katex-sizing.reset-size9.size7{font-size:.694444em}.katex .fontsize-ensurer.reset-size9.size8,.katex .katex-sizing.reset-size9.size8{font-size:.833333em}.katex .fontsize-ensurer.reset-size9.size9,.katex .katex-sizing.reset-size9.size9{font-size:1em}.katex .fontsize-ensurer.reset-size9.size10,.katex .katex-sizing.reset-size9.size10{font-size:1.20023em}.katex .fontsize-ensurer.reset-size9.size11,.katex .katex-sizing.reset-size9.size11{font-size:1.43981em}.katex .fontsize-ensurer.reset-size10.size1,.katex .katex-sizing.reset-size10.size1{font-size:.24108em}.katex .fontsize-ensurer.reset-size10.size2,.katex .katex-sizing.reset-size10.size2{font-size:.289296em}.katex .fontsize-ensurer.reset-size10.size3,.katex .katex-sizing.reset-size10.size3{font-size:.337512em}.katex .fontsize-ensurer.reset-size10.size4,.katex .katex-sizing.reset-size10.size4{font-size:.385728em}.katex .fontsize-ensurer.reset-size10.size5,.katex .katex-sizing.reset-size10.size5{font-size:.433944em}.katex .fontsize-ensurer.reset-size10.size6,.katex .katex-sizing.reset-size10.size6{font-size:.48216em}.katex .fontsize-ensurer.reset-size10.size7,.katex .katex-sizing.reset-size10.size7{font-size:.578592em}.katex .fontsize-ensurer.reset-size10.size8,.katex .katex-sizing.reset-size10.size8{font-size:.694311em}.katex .fontsize-ensurer.reset-size10.size9,.katex .katex-sizing.reset-size10.size9{font-size:.833173em}.katex .fontsize-ensurer.reset-size10.size10,.katex .katex-sizing.reset-size10.size10{font-size:1em}.katex .fontsize-ensurer.reset-size10.size11,.katex .katex-sizing.reset-size10.size11{font-size:1.19961em}.katex .fontsize-ensurer.reset-size11.size1,.katex .katex-sizing.reset-size11.size1{font-size:.200965em}.katex .fontsize-ensurer.reset-size11.size2,.katex .katex-sizing.reset-size11.size2{font-size:.241158em}.katex .fontsize-ensurer.reset-size11.size3,.katex .katex-sizing.reset-size11.size3{font-size:.281351em}.katex .fontsize-ensurer.reset-size11.size4,.katex .katex-sizing.reset-size11.size4{font-size:.321543em}.katex .fontsize-ensurer.reset-size11.size5,.katex .katex-sizing.reset-size11.size5{font-size:.361736em}.katex .fontsize-ensurer.reset-size11.size6,.katex .katex-sizing.reset-size11.size6{font-size:.401929em}.katex .fontsize-ensurer.reset-size11.size7,.katex .katex-sizing.reset-size11.size7{font-size:.482315em}.katex .fontsize-ensurer.reset-size11.size8,.katex .katex-sizing.reset-size11.size8{font-size:.578778em}.katex .fontsize-ensurer.reset-size11.size9,.katex .katex-sizing.reset-size11.size9{font-size:.694534em}.katex .fontsize-ensurer.reset-size11.size10,.katex .katex-sizing.reset-size11.size10{font-size:.833601em}.katex .fontsize-ensurer.reset-size11.size11,.katex .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{width:.12em;display:inline-block}.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 .katex-accent>.vlist-t,.katex .op-limits>.vlist-t{text-align:center}.katex .katex-accent .accent-body{position:relative}.katex .katex-accent .accent-body:not(.accent-full){width:0}.katex .katex-overlay{display:block}.katex .mtable .vertical-separator{min-width:1px;display:inline-block}.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;height:inherit;width:100%;display:block;position:absolute}.katex svg path{stroke:none}.katex svg{fill-rule:nonzero;fill-opacity:1;stroke-width:1px;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1}.katex img{border-style:none;min-width:0;max-width:none;min-height:0;max-height:none}.katex .katex-stretchy{width:100%;display:block;position:relative;overflow:hidden}.katex .katex-stretchy:after,.katex .katex-stretchy:before{content:""}.katex .hide-tail{width:100%;position:relative;overflow:hidden}.katex .halfarrow-left{width:50.2%;position:absolute;left:0;overflow:hidden}.katex .halfarrow-right{width:50.2%;position:absolute;right:0;overflow:hidden}.katex .brace-left{width:25.1%;position:absolute;left:0;overflow:hidden}.katex .brace-center{width:50%;position:absolute;left:25%;overflow:hidden}.katex .brace-right{width:25.1%;position:absolute;right:0;overflow:hidden}.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{box-sizing:border-box;border:.04em solid}.katex .cancel-pad{padding:0 .2em}.katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}.katex .katex-sout{border-bottom-style:solid;border-bottom-width:.08em}.katex .angl{box-sizing:border-box;border-top:.049em solid;border-right:.049em solid;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{text-align:left;display:inline-block;position:absolute;right:calc(50% + .3em)}.katex .cd-label-right{text-align:right;display:inline-block;position:absolute;left:calc(50% + .3em)}.katex-display{text-align:center;margin:1em 0;display:block}.katex-display>.katex{text-align:center;white-space:nowrap;display:block}.katex-display>.katex>.katex-html{display:block;position:relative}.katex-display>.katex>.katex-html>.katex-tag{position:absolute;right:0}.katex-display.leqno>.katex>.katex-html>.katex-tag{left:0;right:auto}.katex-display.fleqn>.katex{text-align:left;padding-left:2em}body{counter-reset:katexEqnNo mmlEqnNo}