[B! qiita][algorithm] clavierã®ãƒ–ãƒƒã‚¯ãƒžãƒ¼ã‚¯

clavier id:clavier

qiitaã¨algorithmã«é–¢ã™ã‚‹clavierã®ãƒ–ãƒƒã‚¯ãƒžãƒ¼ã‚¯ (6)

${{author_name}}$

{{{comment_expanded}}}

{{label}}

{{#is_bookmark}}ãƒªã‚¹ãƒˆ{{/is_bookmark}}{{^is_bookmark}}ãƒªãƒ³ã‚¯{{/is_bookmark}}

${{author_name}}$
{{author_name}}{{created}}
{{ #comment }}{{ comment }}{{ /comment }}
- {{ label }}

${{author_name}}$

{{{comment_expanded}}}

{{label}}

{{#is_bookmark}}ãƒªã‚¹ãƒˆ{{/is_bookmark}}{{^is_bookmark}}ãƒªãƒ³ã‚¯{{/is_bookmark}}

ã€Œ998244353 ã§å‰²ã£ãŸã‚ã¾ã‚Šã€ã®æ±‚ã‚æ–¹ã‚’ç·ç‰¹é›†ï¼ ã€œ é€†å…ƒã‹ã‚‰é›¢æ•£å¯¾æ•°ã¾ã§ ã€œ - Qiita
1. ãªãœ 998244353 ã§å‰²ã‚‹ã®ã‹ï¼Ÿ æœ€åˆã¯ã“ã®ã‚ˆã†ãªè¨å•ã‚’è¦‹ã‚‹ã¨ãŽã‚‡ã£ã¨ã—ã¦ã—ã¾ã„ã¾ã™ãŒã€å®Ÿã¯ã¨ã¦ã‚‚è‡ªç„¶ãªå•é¡Œè¨å®šã§ã™ã€‚ $998244353$ ã§å‰²ã‚‰ãªã„ã¨ã€ç”ãˆã®æ¡æ•°ãŒã¨ã¦ã¤ã‚‚ãªãå¤§ãããªã£ã¦ã—ã¾ã†ã“ã¨ãŒã‚ã‚Šã¾ã™ã€‚ã“ã®ã¨ãä»¥ä¸‹ã®ã‚ˆã†ãªå•é¡ŒãŒç”Ÿã˜ã¾ã™: å¤šå€é•·æ•´æ•°ãŒã‚µãƒãƒ¼ãƒˆã•ã‚Œã¦ã„ã‚‹è¨€èªžã¨ã•ã‚Œã¦ã„ãªã„è¨€èªžã¨ã§æœ‰åˆ©ä¸åˆ©ãŒç”Ÿã˜ã‚‹ 10000 æ¡ã«ã‚‚åŠã¶ã‚ˆã†ãªå·¨å¤§ãªæ•´æ•°ã‚’æ‰±ã†ã¨ãªã‚‹ã¨è¨ˆç®—æ™‚é–“ãŒè†¨å¤§ã«ã‹ã‹ã£ã¦ã—ã¾ã† 1 ç•ªç›®ã®äº‹æƒ…ã¯ãƒ—ãƒã‚°ãƒ©ãƒŸãƒ³ã‚°ã‚³ãƒ³ãƒ†ã‚¹ãƒˆã«ç‰¹æœ‰ã®ã‚‚ã®ã¨æ€ãˆãªãã‚‚ãªã„ã§ã™ãŒã€2 ç•ªç›®ã®äº‹æƒ…ã¯åˆ‡å®Ÿã§ã™ã€‚æ•´æ•°ã®è¶³ã—ç®—ã‚„æŽ›ã‘ç®—ãªã©ã‚’å®Ÿæ–½ã™ã‚‹ã¨ãã€æ¡æ•°ãŒã‚ã¾ã‚Šã«ã‚‚å¤§ãããªã‚‹ã¨æ¡æ•°ã«å¿œã˜ãŸè¨ˆç®—æ™‚é–“ãŒã‹ã‹ã£ã¦ã—ã¾ã„ã¾ã™ã€‚å®Ÿç”¨çš„ã«ã‚‚ãã®ã‚ˆã†ãªå·¨å¤§ãªæ•´æ•°ã‚’æ‰±ã†ã¨ãã¯ã€ã„ãã¤ã‹ã®ç´ æ•°ã§å‰²ã£ãŸã‚ã¾ã‚Šã‚’è¨ˆç®—ã—ã¦ãŠã„ã¦ã€æœ€å¾Œã«ä¸å›½å‰°ä½™å®šç†ã‚’é©ç”¨ã—ã¦å¾©å…ƒã™ã‚‹ã“ã¨ã‚‚å¤šã„ã§ã™ã€‚ ãªãœ 9982443
clavier 2021/11/04
algorithm

Qiita

math

programming
ãƒªãƒ³ã‚¯
äºŒåˆ†æŽ¢ç´¢ã‚¢ãƒ«ã‚´ãƒªã‚ºãƒ ã‚’ä¸€èˆ¬åŒ– ã€œ ã‚ãã‚‹å¼äºŒåˆ†æŽ¢ç´¢æ³•ã®ã‚¹ã‚¹ãƒ¡ ã€œ - Qiita
0. ã¯ã˜ã‚ã« äºŒåˆ†æŽ¢ç´¢æ³•ã¯å˜ç´”ãªãŒã‚‰ã‚‚åŠ¹æžœãŒå¤§ããå°è±¡ã«æ®‹ã‚Šã‚„ã™ã„ã‚‚ã®ã§ã€ã‚¢ãƒ«ã‚´ãƒªã‚ºãƒ å¦ç¿’ã®ã‚¹ã‚¿ãƒ¼ãƒˆåœ°ç‚¹ã«å½©ã‚‰ã‚ŒãŸèŠ±ã¨ã„ã†æ„Ÿã˜ã§ã™ã€‚äºŒåˆ†æŽ¢ç´¢ã¨ã„ã†ã¨ã€Œã‚½ãƒ¼ãƒˆæ¸ˆã¿é…åˆ—ã®ä¸ã‹ã‚‰ç›®çš„ã®ã‚‚ã®ã‚’é«˜é€Ÿã«æŽ¢ç´¢ã™ã‚‹ã€ã‚¢ãƒ«ã‚´ãƒªã‚ºãƒ ã‚’æ€ã„æµ®ã‹ã¹ã‚‹æ–¹ãŒå¤šã„ã¨æ€ã„ã¾ã™ã€‚å·¨å¤§ãªã‚µã‚¤ã‚ºã®ãƒ‡ãƒ¼ã‚¿ã‚’æ‰±ã†å ´é¢ã®å¤šã„ç¾ä»£ã§ã¯ãã‚Œã ã‘ã§ã‚‚ååˆ†å®Ÿç”¨çš„ã§ã™ãŒã€äºŒåˆ†æŽ¢ç´¢æ³•ã¯ã‚‚ã£ã¨ãšã£ã¨åºƒã„é©ç”¨ç¯„å›²ã‚’æŒã£ã¦ã„ã¾ã™ã€‚ æœ¬è¨˜äº‹ã§ã¯ã€äºŒåˆ†æŽ¢ç´¢æ³•ã®ã‚¨ãƒƒã‚»ãƒ³ã‚¹ã‚’æŠ½è±¡åŒ–ã—ã¦ã€é©ç”¨ç¯„å›²ã®åºƒã„ã€ŒäºŒåˆ†æŽ¢ç´¢æ³•ã®ä¸€èˆ¬å½¢ã€ã‚’ç´¹ä»‹ã—ã¾ã™ã€‚åŒæ™‚ã«ç„¡æ•°ã«ã‚ã‚‹äºŒåˆ†æŽ¢ç´¢ã®å®Ÿè£…æ–¹æ³•ã®ä¸ã§ã‚‚ã€Œã‚ãã‚‹å¼äºŒåˆ†æŽ¢ç´¢ã€ãŒãƒã‚°ã‚Šã«ãã„ã¨æ„Ÿã˜ã¦ã„ã‚‹ã®ã§ã€ç´¹ä»‹ã—ãŸã„ã¨æ€ã„ã¾ã™ã€‚ æ³¨æ„ 1: äºŒåˆ†æŽ¢ç´¢ã®è¨ˆç®—æ™‚é–“ã«ã¤ã„ã¦ äºŒåˆ†æŽ¢ç´¢ã®è¨ˆç®—æ™‚é–“ã«ã¤ã„ã¦ç°¡å˜ã«è§¦ã‚Œã¦ãŠããŸã„ã¨æ€ã„ã¾ã™ã€‚ä¾‹ãˆã°ã€Œ$n$ å€‹ã®è¦ç´ ã‹ã‚‰ãªã‚‹ã‚½ãƒ¼ãƒˆæ¸ˆã¿é…åˆ—ã‹ã‚‰ç›®çš„ã®å€¤ã‚’æŽ¢ç´¢ã™ã‚‹ã€ã¨ã„ã†ã‚ˆãçŸ¥ã‚‰ã‚ŒãŸè¨å®šã§ã‚ã‚Œã°ã€ å˜ç´”ãª
clavier 2021/09/06
algorithm

math

programming

development

engineer

search

Qiita

ç«¶ãƒ—ãƒ
ãƒªãƒ³ã‚¯
ã€å›³è§£ã€‘ç·šå½¢æ™‚é–“ã®æ–‡å—åˆ—ã‚¢ãƒ«ã‚´ãƒªã‚ºãƒ ã€ŒZ algorithmã€ã‚’ã‚¤ãƒ©ã‚¹ãƒˆã¨ã‚¢ãƒ‹ãƒ¡ãƒ¼ã‚·ãƒ§ãƒ³ã§ã‹ã¿ç •ã - Qiita
ã“ã®è¨˜äº‹ã§ã¯æ–‡å—åˆ—ã‚’ $S$ï¼Œãã® $i$ $(0 \leq i < |S|)$ æ–‡å—ç›®ã‚’ $S[i]$ ã¨è¡¨è¨˜ã—ã¾ã™ï¼Žæ–‡å—åˆ—ã®çµåˆã¯ $+$ ã§è¡¨ç¾ã—ã¾ã™ï¼Ž ã¾ãŸï¼ŒZ é…åˆ—ã‚’ $Z$ï¼Œãã® $i$ $(0 \leq i < |S|)$ ç•ªç›®ã®è¦ç´ ã‚’ $Z[i]$ ã¨è¡¨è¨˜ã—ã¾ã™ï¼Ž 1. Z algorithm ã§æ±‚ã‚ã‚‹ Z é…åˆ—ã¨ã¯ é›£ã—ãåŽ³å¯†ã«è¡¨ç¾ã™ã‚‹ã¨ï¼Œ$Z[i]$ ã¯ æ–‡å—åˆ— $S=S[0]+S[1]+\cdots+S[|S|-1]$ æ–‡å—åˆ— $S[i]+S[i+1]+\cdots+S[|S|-1]$ ã® æœ€é•·å…±é€šæŽ¥é è¾žã®é•·ã• ã¨å®šç¾©ã•ã‚Œã¾ã™ï¼Ž ã‚‚ã†å°‘ã—ã–ã£ãã‚Šè¡¨ç¾ã™ã‚‹ã¨ï¼Œ æ–‡å—åˆ— $S=S[0]+S[1]+\cdots+S[|S|-1]$ æ–‡å—åˆ— $S[i]+S[i+1]+\cdots+S[|S|-1]$ ã® å…ˆé ä½•æ–‡å—ãŒä¸€è‡´ã—ã¦ã‚‹ã®ï¼Ÿ ã¨ã„ã†å€¤ãŒ $Z[i]$ ã§ã™ï¼Ž å›³è§£ å›³ã§
clavier 2020/02/05
algorithm

Qiita
ãƒªãƒ³ã‚¯
FFTï¼ˆé«˜é€Ÿãƒ•ãƒ¼ãƒªã‚¨å¤‰æ›ï¼‰ã‚’å®Œå…¨ã«ç†è§£ã™ã‚‹è©± - Qiita
ã¨ãªã‚Šã¾ã™ã€‚ ã“ã® $C_i$ ã‚’ã€$0\leq i\leq 2N$ ã‚’æº€ãŸã™ã™ã¹ã¦ã® $i$ ã«ã¤ã„ã¦æ±‚ã‚ã‚‹ã®ãŒä»Šå›žã®ç›®æ¨™ã§ã™ã€‚ ãã‚Œãžã‚Œæ„šç›´ã«æ±‚ã‚ã‚‹ã¨ã€$f,g$ ã®å…¨é …ã‚’çµ„ã¿åˆã‚ã›ã¦å‚ç…§ã™ã‚‹ã“ã¨ã«ãªã‚‹ã®ã§ã€ $O(N^2)$ ã§ã™ã€‚ã“ã‚Œã‚’ã©ã†ã«ã‹ã—ã¦é«˜é€ŸåŒ–ã—ã¾ã™ã€‚ å¤šé …å¼è£œé–“ æ„šç›´ãªä¹—ç®—ã¯é›£ã—ãã†ãªã®ã§ã€$C_i$ ã®å€¤ã‚’ã€å¤šé …å¼è£œé–“ã‚’ç”¨ã„ã¦ç®—å‡ºã™ã‚‹ã“ã¨ã‚’è€ƒãˆã¾ã™ã€‚ å¤šé …å¼è£œé–“ã¨ã¯ã€å¤šé …å¼ã®å¤‰æ•°ã«å®Ÿéš›ã«ã„ãã¤ã‹ã®å€¤ã‚’ä»£å…¥ã—ã€å¤šé …å¼ã‚’è¨ˆç®—ã—ãŸå€¤ã‹ã‚‰ã€å¤šé …å¼ã®ä¿‚æ•°ã‚’æ±ºå®šã™ã‚‹æ‰‹æ³•ã§ã™ã€‚ ãŸã¨ãˆã°ã€$f(x)=ax+b$ ã¨ã„ã† $1$ æ¬¡é–¢æ•°ãŒã‚ã‚‹ã¨ã—ã¾ã™ã€‚ $a$ ã¨ $b$ ã®å€¤ã¯åˆ†ã‹ã‚Šã¾ã›ã‚“ãŒã€$f(3)=5,f(7)=-3$ ãŒã‚ã‹ã£ã¦ã„ã‚‹ã‚‚ã®ã¨ã—ã¾ã™ã€‚ å®Ÿéš›ã« $3,7$ ã‚’ä»£å…¥ã—ã¦ã¿ã‚‹ã¨ã€ $3a+b=5$ $7a+b=-3$ ã¨ã€é€£ç«‹æ–¹ç¨‹å¼ãŒç«‹ã¡ã€$a,b$ ã®å€¤ãŒæ±‚ã‚ã‚‰ã‚Œã¾
clavier 2020/01/29
Qiita

ageprocpp

algorithm

é«˜é€Ÿãƒ•ãƒ¼ãƒªã‚¨å¤‰æ›
ãƒªãƒ³ã‚¯
æœ€çŸçµŒè·¯å•é¡Œç·ç‰¹é›†ï¼ï¼ï¼ï½žBFSã‹ã‚‰æ‹¡å¼µãƒ€ã‚¤ã‚¯ã‚¹ãƒˆãƒ©ã¾ã§ï½ž - Qiita
Deleted articles cannot be recovered. Draft of this article would be also deleted. Are you sure you want to delete this article? åŸºæœ¬çš„ã‚¢ãƒ«ã‚´ãƒªã‚ºãƒ ï¼ˆå¹…å„ªå…ˆæŽ¢ç´¢ãªã©ï¼‰ã‹ã‚‰å¿œç”¨ï¼ˆçµŒè·¯å¾©å…ƒã€æ‹¡å¼µãƒ€ã‚¤ã‚¯ã‚¹ãƒˆãƒ©ãªã©ï¼‰ã¾ã§ã€æœ€çŸçµŒè·¯å•é¡Œã«é–¢ã™ã‚‹ã‚¢ãƒ«ã‚´ãƒªã‚ºãƒ ã‚’ç·ç‰¹é›†ã—ã¾ã—ãŸã€‚ åŸºæœ¬çš„ãªã‚°ãƒ©ãƒ•ç†è«–ã®ç”¨èªžã«ã¤ã„ã¦ã¯ã€æ¬¡ã‚’å‚è€ƒã«ã—ã¦ãã ã•ã„ã€‚ ã‚°ãƒ©ãƒ•ç†è«–ã€€ç”¨èªžé›† queueãªã©ã®ãƒ‡ãƒ¼ã‚¿æ§‹é€ ã®ç”¨èªžã«ã¤ã„ã¦ã¯ã€æ¬¡ã®ã‚¹ãƒ©ã‚¤ãƒ‰ã®å¾ŒåŠã‚’å‚è€ƒã«ã—ã¦ãã ã•ã„ã€‚ C++ STLè¬›ç¿’ä¼š by @e869120 æœ€çŸçµŒè·¯å•é¡Œã¨ã¯ ä¸€èˆ¬çš„ã«ã€æ¬¡ã®ã‚ˆã†ãªå•é¡Œã¨ã•ã‚Œã¾ã™ã€‚ $V$ é ‚ç‚¹ã¨ $E$ è¾ºã‹ã‚‰ãªã‚‹ã‚°ãƒ©ãƒ•ãŒä¸Žãˆã‚‰ã‚Œã‚‹ã€‚é ‚ç‚¹ $u$ ã¨ é ‚ç‚¹ $v$ ã‚’çµã¶ãƒ‘ã‚¹ã®ã†ã¡ã€é‡ã¿ã®ç·å’ŒãŒæœ€ã‚‚å°ã•ã„ã‚‚ã®ã¯ã©ã‚Œ
clavier 2020/01/19
algorithm

Qiita

ã‚ã¨ã§èªã‚€
ãƒªãƒ³ã‚¯
éºä¼çš„ã‚¢ãƒ«ã‚´ãƒªã‚ºãƒ ã§å·¡å›žã‚»ãƒ¼ãƒ«ã‚¹ãƒžãƒ³å•é¡Œã‚’è§£ã„ã¦ã¿ã‚‹(ç†è«–ç·¨) - Qiita
Deleted articles cannot be recovered. Draft of this article would be also deleted. Are you sure you want to delete this article? ã¯ã˜ã‚ã« ã€Œå·¡å›žã‚»ãƒ¼ãƒ«ã‚¹ãƒžãƒ³å•é¡Œã€€éºä¼çš„ã‚¢ãƒ«ã‚´ãƒªã‚ºãƒ ã€ã§ã‚°ã‚°ã‚‹ã¨ãŸãã•ã‚“ãƒ’ãƒƒãƒˆã™ã‚‹ã“ã¨ã‚’è‡ªåˆ†ã§ã‚‚ã‚„ã£ã¦ã¿ã¾ã—ãŸã€‚ ç†è«–ç·¨ Python ã‚³ãƒ¼ãƒ‰ç·¨ å®Ÿè¡Œçµæžœç·¨ æ¦‚è¦ å·¡å›žã‚»ãƒ¼ãƒ«ã‚¹ãƒžãƒ³å•é¡Œ(Traveling Salesman Probl em) å·¡å›žã‚»ãƒ¼ãƒ«ã‚¹ãƒžãƒ³å•é¡Œ ã¨ã¯ã€$N$ å€‹ã®ç‚¹ã™ã¹ã¦ã‚’ 1 å›žãšã¤é€šã£ã¦å…ƒã®ç‚¹ã«æˆ»ã‚‹æœ€çŸã®çµŒè·¯ã‚’æŽ¢ç´¢ã™ã‚‹å•é¡Œã§ã™ã€‚ $N$ ç‚¹ã‚’å…¨ã¦é€šã£ã¦æˆ»ã£ã¦ãã‚‹çµŒè·¯ã®ç·æ•°ã¯ $(N-1)!/2$ é€šã‚Šã‚ã‚Šã¾ã™ã€‚ 3 ç‚¹ã§ã‚ã‚Œã° 1 é€šã‚Šã§ã™ã€‚ 4 ç‚¹ã§ã‚ã‚Œã° 3 é€šã‚Šã§ã™ã€‚ 5 ç‚¹ã§ã‚ã‚Œã° 12 é€šã‚Šã§ã™ã€‚ ç‚¹ãŒå¢—
clavier 2019/12/28
algorithm

Qiita
ãƒªãƒ³ã‚¯
1