.public-key-study{--pk-ink:#4b4141;--pk-red:#944e50;--pk-muted:#746463;--pk-paper:#fbf7ef;background:var(--pk-paper);color:var(--pk-ink);border-radius:26px;min-width:0;padding:26px 32px;font-size:16px;line-height:1.55}.public-key-study *,.public-key-study :before,.public-key-study :after{box-sizing:border-box}.public-key-study p,.public-key-study h3{margin:0}.public-key-study code{overflow-wrap:anywhere;font:20px ui-monospace,monospace}.public-key-study small{font-size:16px}.pk-heading{color:var(--pk-muted);justify-content:space-between;gap:16px;display:flex}.pk-heading>span:first-child{letter-spacing:.16em;font:22px Georgia,serif}.pk-intro{max-width:820px;min-height:105px;margin:18px 0 24px}.public-key-study[data-watch=true] .pk-intro{min-height:54px}.pk-intro h3{letter-spacing:-.035em;margin-bottom:12px;font-size:29px;font-weight:450;line-height:1.25}.pk-intro p{font-size:17px}.pk-film-surface{justify-content:center;align-items:center;min-height:445px;display:flex}.pk-film-surface>div{width:100%;max-width:780px}.pk-film-note{color:var(--pk-muted);border-top:1px solid #b998812d;padding-top:16px;margin-top:22px!important}.pk-envelope{flex-direction:column;justify-content:center;align-items:center;gap:3px;height:150px;margin:auto;display:flex;position:relative;width:220px!important}.pk-envelope svg{fill:#fffaf0;stroke:#cab9a5;stroke-width:1px;width:100%;height:100%;position:absolute;inset:0}.pk-envelope span,.pk-envelope strong{z-index:1;background:#fffaf0;padding:0 10px;position:relative}.pk-envelope strong{color:var(--pk-red);font:60px Georgia,serif}.pk-envelope[data-sealed=true] strong{border:1px solid var(--pk-red);text-align:center;border-radius:50%;min-width:72px;font-size:45px}.pk-public-notice{text-align:center;border-top:2px solid #944e50;border-bottom:1px solid #944e5044;gap:8px;max-width:460px;margin:auto;padding:15px 10px;display:grid}.pk-public-notice strong{font:28px Georgia,serif}.pk-public-notice i{color:#aa8c79;padding:0 12px;font-style:normal}.pk-correspondents{justify-content:space-between;margin:26px 0 5px;display:flex}.pk-mail-route{margin:0 auto 20px;position:relative}.pk-mail-track{background:#c7ad9555;width:100%;height:1px;position:absolute;top:75px}.pk-mail-track i{background:var(--pk-red);border-radius:50%;width:11px;height:11px;position:absolute;top:-5px}.pk-route-equation{text-align:center;gap:14px;display:grid}.pk-route-equation code{font-size:25px}.pk-primes{justify-content:center;align-items:center;gap:24px;display:flex}.pk-primes>div{flex-direction:column;align-items:center;display:flex}.pk-primes strong{font:46px Georgia,serif}.pk-key-proof{text-align:center;flex-direction:column;justify-content:center;align-items:center;gap:12px;min-height:226px;display:flex}.pk-key-proof>strong{color:var(--pk-red);font:40px Georgia,serif}.pk-key-pair{grid-template-columns:1fr 1fr;gap:18px;max-width:550px;margin:0 auto;display:grid}.pk-key-pair>div{border-top:1px solid #aa8c7966;justify-items:center;gap:6px;padding:12px 5px;display:grid}.pk-key-pair>div+div{color:var(--pk-red)}.pk-remainder{text-align:center}.pk-domain-line{align-items:center;gap:12px;max-width:440px;margin:22px auto;display:flex}.pk-domain-line i{background:#bea78e;flex:1;height:1px}.pk-domain-line b{border:1px solid #b7856a88;border-radius:50%;min-width:44px;line-height:42px}.pk-division{flex-direction:column;justify-content:center;gap:12px;min-height:174px;display:flex}.pk-division strong{font:34px Georgia,serif}.pk-division b,.pk-remainder-result b{color:var(--pk-red)}.pk-power-heading{flex-wrap:wrap;justify-content:center;align-items:baseline;gap:10px;margin-bottom:24px;display:flex}.pk-power-heading>b{color:var(--pk-red);font:42px Georgia,serif}.pk-power-tape{justify-content:center;gap:8px;margin-bottom:22px;display:flex}.pk-power-tape>div{min-width:0;max-width:128px;color:var(--pk-muted);border-bottom:2px solid #c4b09855;flex:1;justify-items:center;gap:7px;padding:10px 2px;display:grid}.pk-power-tape strong{font:28px Georgia,serif}.pk-power-tape sup{font-size:16px}.pk-power-tape>div[data-selected=false]{border-bottom-style:dashed}.pk-power-tape>div[data-active=true]{color:var(--pk-red);border-bottom-color:var(--pk-red);background:#944e5008;border-radius:12px 12px 0 0}.pk-power-work{grid-template-columns:1fr 1fr;align-items:center;gap:28px;min-height:220px;display:grid}.pk-square,.pk-accumulate{text-align:center;flex-direction:column;align-items:center;gap:16px;min-width:0;display:flex}.pk-square{border-right:1px solid #baa38c44;padding-right:28px}.pk-accumulate>div{align-items:baseline;gap:14px;display:flex}.pk-accumulate>div>b{font:30px Georgia,serif}.pk-accumulate strong{color:var(--pk-red);font:42px Georgia,serif}.pk-power-start{text-align:center;grid-column:1/-1;justify-items:center;gap:16px;display:grid}.pk-power-start strong{font:58px Georgia,serif}.pk-power-result{border-top:1px solid #baa38c44;justify-content:center;align-items:center;gap:18px;margin-top:20px;padding-top:16px;display:flex}.pk-power-result b{color:var(--pk-red);font:35px Georgia,serif}.pk-return-trip{justify-content:center;align-items:center;gap:25px;display:flex}.pk-return-trip>div{justify-items:center;display:grid}.pk-return-trip strong{font:48px Georgia,serif}.pk-return-trip>div:last-child{color:var(--pk-red)}.pk-residues>p{text-align:center;max-width:600px;margin:20px auto!important}.pk-two-remainders{grid-template-columns:1fr 1fr;gap:20px;max-width:600px;margin:25px auto;display:grid}.pk-two-remainders>div{text-align:center;border-block:1px solid #baa38c44;justify-items:center;gap:14px;padding:16px 12px;display:grid}.pk-two-remainders code{font-size:28px}.pk-domain-stamp{text-align:center;justify-items:center;gap:6px;display:grid}.pk-domain-stamp b{color:var(--pk-red);font:30px Georgia,serif}.pk-repeat{justify-content:center;gap:40px;margin-bottom:20px;font:30px Georgia,serif;display:flex}.pk-repeat b{color:var(--pk-red)}.pk-guesses>p{text-align:center;max-width:570px;margin:16px auto!important}.pk-guess-ledger{max-width:450px;min-height:185px;margin:24px auto}.pk-guess-ledger>div{text-align:center;border-bottom:1px solid #baa38c44;grid-template-columns:1fr 28px 1fr 30px;align-items:center;gap:8px;padding:10px 14px;display:grid}.pk-guess-ledger>div:first-child{grid-template-columns:1fr 1fr;padding:4px 0}.pk-guess-ledger>div[data-match=true]{color:var(--pk-red);background:#944e500c;border-radius:9px}.pk-guess-result{justify-content:center;align-items:baseline;gap:14px;display:flex}.pk-guess-result b{font:36px Georgia,serif}.pk-schematic-label{text-align:center;color:var(--pk-muted);display:block}.pk-secure-key{justify-items:center;gap:4px;margin:20px auto 0;display:grid}.pk-secure-key b{text-align:center;border:1px solid #ab7c6844;border-radius:50%;width:66px;height:66px;font:italic 42px Georgia,serif}.pk-secure-fork{color:#ac8b75;justify-content:center;align-items:center;max-width:360px;margin:auto;font-size:26px;display:flex}.pk-secure-fork i{flex:1}.pk-secure-branches{grid-template-columns:1fr 1fr;gap:30px;display:grid}.pk-secure-branches>div{text-align:center;border-top:1px solid #b79a8144;flex-direction:column;align-items:center;gap:12px;padding:16px 12px;display:flex}.pk-secure-branches>div[data-active=true]{border-top-color:var(--pk-red);color:var(--pk-red)}.pk-secure-branches b{font-size:20px}.pk-secure-arrow{color:#ac8b75}.pk-identity{text-align:center;border-top:1px solid #b79a8144;padding:16px;margin-top:20px!important}.pk-identity[data-active=true]{color:var(--pk-red);background:#944e5008;border-radius:12px}.pk-explore{border-top:1px solid #baa38c44;margin-top:28px;padding-top:22px}.pk-explore label{gap:8px;font-size:16px;display:grid}.pk-fields{grid-template-columns:1fr 1fr;gap:18px;display:grid}.pk-explore input,.pk-explore select,.pk-explore button,.pk-explore summary{font:inherit;min-width:44px;min-height:44px}.pk-explore input,.pk-explore select{width:100%;max-width:100%;color:inherit;background:#fffaf2;border:1px solid #b9a18988;border-radius:10px;padding:9px 12px}.pk-explore input[type=range]{accent-color:var(--pk-red);padding:0;display:block}.pk-explore button{color:inherit;cursor:pointer;background:#fffcf8;border:1px solid #b9a18977;border-radius:12px;padding:8px 15px}.pk-explore button:hover{background:#eee0d4}.pk-explore :focus-visible{outline:2px solid var(--pk-red);outline-offset:3px}.pk-explore button:disabled{opacity:.5;cursor:default}.pk-example-buttons,.pk-step-buttons{flex-wrap:wrap;gap:12px;margin:16px 0;display:flex}.pk-example-buttons>button,.pk-step-buttons>button{flex:1}.pk-explore>p{margin:12px 0}.pk-manual-trip{flex-wrap:wrap;justify-content:space-between;gap:12px;margin:24px 0;display:flex}.pk-explore>output{text-align:right;display:block}.pk-reset{width:100%;margin:4px 0 16px}.pk-explore summary{cursor:pointer;padding:10px 0}.pk-explore details p{margin:14px 0}.pk-invalid{text-align:center;max-width:500px;color:var(--pk-red)}.public-key-study[data-playing=true] .pk-power-tape>div{transition:background .35s,color .35s,border-color .35s}@media (max-width:600px){.public-key-study{border-radius:24px;padding:16px 12px}.pk-heading{gap:8px}.pk-heading>span:first-child{font-size:20px}.pk-intro{min-height:116px;margin:16px 0 12px}.pk-intro h3{font-size:24px}.public-key-study[data-watch=true] .pk-intro{min-height:56px}.public-key-study[data-watch=true] .pk-intro h3{margin-bottom:0;font-size:20px;line-height:1.3}.pk-intro p{font-size:16px}.pk-film-surface{flex:1;align-items:center;min-height:0}.pk-film-note{font-size:16px;margin-top:16px!important}.public-key-study code{font-size:17px}.pk-public-notice{padding:13px 0}.pk-public-notice strong{font-size:24px}.pk-public-notice i{padding:0 4px}.pk-correspondents{margin-top:20px}.pk-route-equation code{font-size:20px}.pk-primes{gap:10px}.pk-primes strong{font-size:37px}.pk-key-proof{gap:13px;min-height:258px}.pk-key-pair{gap:12px}.pk-key-pair code{font-size:17px}.pk-domain-line{gap:8px;margin:18px 0}.pk-division{min-height:178px}.pk-division strong{font-size:30px}.pk-power-heading{gap:8px;margin-bottom:16px}.pk-power-heading>b{font-size:34px}.pk-power-heading>span:last-child{text-align:center;flex-basis:100%}.pk-power-tape{gap:2px;margin-bottom:18px}.pk-power-tape>div{gap:6px;padding:6px 0}.pk-power-tape strong{font-size:23px}.pk-power-work{grid-template-columns:1fr;gap:20px;min-height:261px}.pk-square{border-bottom:1px solid #baa38c44;border-right:0;gap:9px;padding:0 0 16px}.pk-accumulate{gap:10px}.pk-accumulate>div{gap:12px}.pk-accumulate>div>b{font-size:28px}.pk-accumulate strong{font-size:36px}.pk-power-result{gap:12px;margin-top:14px;padding-top:13px}.pk-power-result b{font-size:30px}.pk-return-trip{gap:12px}.pk-return-trip strong{font-size:38px}.pk-two-remainders{gap:12px;margin:18px auto}.pk-two-remainders>div{gap:10px;padding:14px 4px}.pk-two-remainders code{font-size:25px}.pk-residues>p{margin:16px auto!important}.pk-domain-stamp b{font-size:28px}.pk-repeat{gap:20px;font-size:25px}.pk-guess-ledger{min-height:183px;margin:18px 0}.pk-guess-ledger>div{padding:10px 2px}.pk-secure-key{margin-top:14px}.pk-secure-fork{max-width:160px}.pk-secure-branches{gap:12px}.pk-secure-branches>div{gap:12px;padding:12px 0}.pk-secure-branches b{overflow-wrap:anywhere;font-size:17px}.pk-identity{padding:12px 0;margin-top:14px!important}.pk-fields{grid-template-columns:1fr;gap:16px}.pk-example-buttons{grid-template-columns:1fr 1fr;display:grid}.pk-explore .pk-power-tape{gap:1px}}.public-key-study[data-phone=true]{min-height:520px;padding:12px 10px}.public-key-study[data-phone=true] .pk-film-surface{min-height:0;padding-top:12px;display:block}.public-key-study[data-phone=true] .pk-heading{gap:8px;font-size:16px}.public-key-study[data-phone=true] .pk-heading>span:first-child{font-size:20px}.public-key-study[data-phone=true] .pk-heading>span:last-child{text-align:right}.public-key-study[data-phone=true] .pk-envelope{height:116px;width:180px!important}.public-key-study[data-phone=true] .pk-envelope strong{font-size:42px}.public-key-study[data-phone=true] .pk-public-notice{gap:4px;padding:8px 0}.public-key-study[data-phone=true] .pk-public-notice p{display:none}.public-key-study[data-phone=true] .pk-correspondents{margin:14px 0 4px}.public-key-study[data-phone=true] .pk-mail-route{margin-bottom:12px}.public-key-study[data-phone=true] .pk-mail-track{top:58px}.public-key-study[data-phone=true] .pk-route-equation{gap:8px}.public-key-study[data-phone=true] .pk-key-proof{gap:10px;min-height:210px;padding:12px 0}.pk-origin-context{text-align:center;font-size:16px}.public-key-study[data-phone=true] .pk-key-pair>div{gap:2px;padding:8px 2px}.public-key-study[data-phone=true] .pk-domain-line{margin:10px 0}.public-key-study[data-phone=true] .pk-division{gap:8px;min-height:150px}.pk-power[data-compact=true] .pk-power-heading{gap:4px 8px;margin-bottom:8px}.pk-power[data-compact=true] .pk-power-heading>b{font-size:30px}.pk-current-power{border-block:1px solid #baa38c44;flex-wrap:wrap;justify-content:space-between;align-items:baseline;gap:4px;padding:8px 0;display:flex}.pk-current-power code,.pk-current-power sup{font-size:17px}.pk-current-power b,.pk-current-power[data-selected=true]>span{color:var(--pk-red)}.pk-power[data-compact=true] .pk-power-work{grid-template-columns:1fr;gap:10px;min-height:260px;padding:10px 0}.pk-power[data-compact=true] .pk-square{border-bottom:1px solid #baa38c44;border-right:0;gap:5px;padding:0 0 10px}.pk-power[data-compact=true] .pk-accumulate{gap:5px}.pk-power[data-compact=true] .pk-accumulate>div{gap:12px}.pk-power[data-compact=true] .pk-accumulate strong{font-size:32px}.pk-power[data-compact=true] .pk-power-result{gap:8px;margin-top:0;padding-top:8px}.pk-power[data-compact=true] .pk-power-result b{font-size:30px}.public-key-study[data-phone=true] .pk-two-remainders{gap:10px;margin:14px 0}.public-key-study[data-phone=true] .pk-two-remainders>div{gap:6px;padding:10px 2px}.public-key-study[data-phone=true] .pk-residues>p{margin:10px 0!important}.public-key-study[data-phone=true] .pk-repeat{margin-bottom:8px}.public-key-study[data-phone=true] .pk-guesses>p{margin:10px 0!important}.public-key-study[data-phone=true] .pk-guess-ledger{min-height:134px;margin:12px 0}.public-key-study[data-phone=true] .pk-guess-ledger>div{padding:8px 2px}.public-key-study[data-phone=true] .pk-secure-key{margin-top:8px}.public-key-study[data-phone=true] .pk-secure-key b{width:52px;height:52px;font-size:34px}.public-key-study[data-phone=true] .pk-secure-branches{grid-template-columns:1fr;gap:0}.public-key-study[data-phone=true] .pk-secure-branches>div{gap:6px;padding:8px 0}.public-key-study[data-phone=true] .pk-secure[data-stage=key] .pk-secure-branches>div:last-child,.public-key-study[data-phone=true] .pk-secure[data-stage=wrap] .pk-secure-branches>div:last-child,.public-key-study[data-phone=true] .pk-secure[data-stage=identity] .pk-secure-branches>div:last-child,.public-key-study[data-phone=true] .pk-secure[data-stage=content] .pk-secure-branches>div:first-child{display:none}.public-key-study[data-phone=true] .pk-identity{padding:8px 0;margin-top:8px!important}@media (prefers-reduced-motion:reduce){.public-key-study *{transition:none!important;animation:none!important}}.pk-secure[data-stage=key] .pk-secure-key b{color:var(--pk-red);border-color:var(--pk-red)}.pk-secure[data-stage=wrap] .pk-secure-branches>div:first-child>span:last-child{background:#944e500b;border-radius:8px;padding:4px}@media (max-width:600px){.public-key-study[data-watch=false] .pk-power-tape{grid-template-columns:repeat(3,minmax(0,1fr));display:grid}.pk-secure-branches{grid-template-columns:1fr;max-width:250px;margin:auto}.pk-secure[data-stage=key] .pk-secure-branches>div:last-child,.pk-secure[data-stage=wrap] .pk-secure-branches>div:last-child,.pk-secure[data-stage=identity] .pk-secure-branches>div:last-child,.pk-secure[data-stage=content] .pk-secure-branches>div:first-child{display:none}.pk-secure-fork{font-size:0}.pk-secure-fork i{display:none}.pk-secure-fork:after{content:"↓";font-size:24px}.pk-secure-branches>div{gap:9px}}
