From b83aba2a9763a6732171256675e9585193bddbe9 Mon Sep 17 00:00:00 2001 From: GitHub Date: Tue, 4 Jun 2024 11:32:04 +0000 Subject: [PATCH] build PDF --- base.css | 148 ++++++++++ notebook.css | 26 ++ notebook.html | 794 ++++++++++++++++++++++++++++++++++++++++++++++++++ notebook.pdf | Bin 0 -> 363161 bytes 4 files changed, 968 insertions(+) create mode 100644 base.css create mode 100644 notebook.css create mode 100644 notebook.html create mode 100644 notebook.pdf diff --git a/base.css b/base.css new file mode 100644 index 0000000..18ed6d6 --- /dev/null +++ b/base.css @@ -0,0 +1,148 @@ +@import url('https://fonts.googleapis.com/css2?family=JetBrains+Mono:wght@100..800&display=swap'); +@import url("https://cdn.jsdelivr.net/npm/katex@0.16.9/dist/katex.min.css"); +@import url("https://cdnjs.cloudflare.com/ajax/libs/prism-themes/1.9.0/prism-coldark-cold.min.css"); + + +html, +code { + font-family: 'Jetbrains Mono', ui-monospace, SFMono-Regular, SF Mono, Menlo, Consolas, Liberation Mono, monospace; + font-variant-ligatures: none; +} + +pre { + white-space: pre-wrap; + margin: 0; +} + +div.content { + padding: 0.3em 0; + border-top: 1px solid; + border-bottom: 1px solid; +} + +h1, +h2, +h3, +h4, +h5, +h6 { + margin-block-start: 0.2em; + margin-block-end: 0.2em; + padding-block-start: 0.3em; + padding-block-end: 0.3em; + break-after: avoid; +} + +a { + color: currentColor; +} + +h1#title { + font-weight: 800; +} + +.section { + background-color: #005a8e99; + color: #ffffff; +} + +h2.section { + margin-left: -0.5mm; + margin-right: -0.5mm; + padding-left: 1.5mm; +} + +div.filename { + display: flex; + justify-content: space-between; + align-items: baseline; +} + +/* 印刷時の設定 */ +@media print { + + body { + column-count: 2; + column-rule: 1px solid; + column-gap: 6mm; + } + + @page { + size: A4 portrait; + margin: 8mm 2.5mm 2.5mm 2.5mm; + + /* ヘッダー */ + @top-left { + content: "tatyam/ICPC_notebook"; + } + + @top-right { + content: "Page " counter(page) " of " counter(pages); + } + } +} + +/* 目次にページ数を付加する */ +nav#toc ol { + list-style: none; +} + +nav#toc>ol { + padding-left: 0; +} + +nav#toc a { + display: inline-flex; + width: 100%; + text-decoration: none; + align-items: baseline; +} + +nav#toc a.section { + padding-left: 0.5em; +} + +nav#toc>ol>ol>li>a::before { + margin-left: 0.5em; + margin-right: 0.5em; + border-bottom: 1px dotted; + content: ''; + order: 1; + flex: auto; +} + +nav#toc>ol>ol>li>a::after { + text-align: right; + content: target-counter(attr(href), page); + align-self: flex-end; + flex: none; + order: 2; +} + +/* 表に罫線をつける */ +table { + border-spacing: 0; + border-top: 1px solid lightgray; + border-left: 1px solid lightgray; +} +td, th { + border-bottom: 1px solid lightgray; + border-right: 1px solid lightgray; + padding: 4px; +} + +/* シンタックスハイライトの色を調整 */ +.token.attr-name, +.token.boolean, +.token.boolean.important, +.token.number, +.token.constant, +.token.selector .token.attribute { + color: #001575; +} +.content { + break-before: avoid; +} +.content-md { + font-family: sans-serif; +} diff --git a/notebook.css b/notebook.css new file mode 100644 index 0000000..0b7d11e --- /dev/null +++ b/notebook.css @@ -0,0 +1,26 @@ +/* generated by build/build.js */ +@import url("base.css"); + +html, +code { + font-size: 7.4pt; +} + +nav#toc { + break-after: column; +} + +@media print { + body { + column-count: 2; + } + + @page { + size: A4 portrait; + + /* ヘッダー */ + @top-left { + content: "tatyam/ICPC_notebook"; + } + } +} \ No newline at end of file diff --git a/notebook.html b/notebook.html new file mode 100644 index 0000000..f231054 --- /dev/null +++ b/notebook.html @@ -0,0 +1,794 @@ + + + + + + + ICPC Notebook + + + + + + + + +

ICPC Notebook

+ + + + +

template

+ +
+

hash.sh

+
+
+
# 使い方: sh hash.sh -> コピペ -> Ctrl + D
+# コメント・空白・改行を削除して md5 でハッシュする
+g++ -dD -E -P -fpreprocessed - | tr -d '[:space:]' | md5sum | cut -c-6
+
+
+ +
+

settings.sh

+
+
+
# CLion の設定
+Settings → Build → CMake → Reload CMake Project
+add_compile_options(-D_GLIBCXX_DEBUG)
+# Caps Lock を Ctrl に変更
+setxkbmap -option ctrl:nocaps
+
+
+ +
+

template.hpp

+ md5: 136d85 + +
+
+
#include <bits/stdc++.h>
+using namespace std;
+using ll = long long;
+const ll INF = LLONG_MAX / 4;
+#define rep(i, a, b) for(ll i = a; i < (b); i++)
+#define all(a) begin(a), end(a)
+#define sz(a) ssize(a)
+bool chmin(auto& a, auto b) { return a > b ? a = b, 1 : 0; }
+bool chmax(auto& a, auto b) { return a < b ? a = b, 1 : 0; }
+
+int main() {
+   cin.tie(0)->sync_with_stdio(0);
+   // your code here...
+}
+
+
+ +

data-structure

+ +
+

BIT.hpp

+ md5: 8133c8 + +
+
+
struct BIT {
+   vector<ll> a;
+   BIT(ll n) : a(n + 1) {}
+   void add(ll i, ll x) {  // A[i] += x
+      i++;
+      while(i < sz(a)) {
+         a[i] += x;
+         i += i & -i;
+      }
+   }
+   ll sum(ll r) {
+      ll s = 0;
+      while(r) {
+         s += a[r];
+         r -= r & -r;
+      }
+      return s;
+   }
+   ll sum(ll l, ll r) {  // sum of A[l, r)
+      return sum(r) - sum(l);
+   }
+};
+
+
+ +
+

FastSet.hpp

+ md5: 2cb8c9 + +
+
+
// using u64 = uint64_t;
+const u64 B = 64;
+struct FastSet {
+   u64 n;
+   vector<vector<u64>> a;
+   FastSet(u64 n_) : n(n_) {
+      do a.emplace_back(n_ = (n_ + B - 1) / B);
+      while(n_ > 1);
+   }
+   // bool operator[](ll i) const { return a[0][i / B] >> (i % B) & 1; }
+   void set(ll i) {
+      for(auto& v : a) {
+         v[i / B] |= 1ULL << (i % B);
+         i /= B;
+      }
+   }
+   void reset(ll i) {
+      for(auto& v : a) {
+         v[i / B] &= ~(1ULL << (i % B));
+         if(v[i / B]) break;
+         i /= B;
+      }
+   }
+   ll next(ll i) {  // i を超える最⼩の要素
+      rep(h, 0, sz(a)) {
+         i++;
+         if(i / B >= sz(a[h])) break;
+         u64 d = a[h][i / B] >> (i % B);
+         if(d) {
+            i += countr_zero(d);
+            while(h--) i = i * B + countr_zero(a[h][i]);
+            return i;
+         }
+         i /= B;
+      }
+      return n;
+   }
+   ll prev(ll i) {  // i より小さい最⼤の要素
+      rep(h, 0, sz(a)) {
+         i--;
+         if(i < 0) break;
+         u64 d = a[h][i / B] << (~i % B);
+         if(d) {
+            i -= countl_zero(d);
+            while(h--) i = i * B + __lg(a[h][i]);
+            return i;
+         }
+         i /= B;
+      }
+      return -1;
+   }
+};
+
+
+ +

math

+ +
+

BinaryGCD.hpp

+ md5: f3ab31 + +
+
+
u64 ctz(u64 x) { return countr_zero(x); }
+u64 binary_gcd(u64 x, u64 y) {
+   if(!x || !y) return x | y;
+   u64 n = ctz(x), m = ctz(y);
+   x >>= n, y >>= m;
+   while(x != y) {
+      if(x > y) x = (x - y) >> ctz(x - y);
+      else y = (y - x) >> ctz(y - x);
+   }
+   return x << min(n, m);
+}
+
+
+ +
+

ExtGCD.hpp

+ md5: c3fa9b + +
+
+
// returns gcd(a, b) and assign x, y to integers
+// s.t. ax + by = gcd(a, b) and |x| + |y| is minimized
+ll extgcd(ll a, ll b, ll& x, ll& y) {
+   // assert(a >= 0 && b >= 0);
+   if(!b) return x = 1, y = 0, a;
+   ll d = extgcd(b, a % b, y, x);
+   y -= a / b * x;
+   return d;
+}
+
+
+ +

modint

+ +
+

BarrettReduction.hpp

+ md5: 2ca7f3 + +
+
+
// using u64 = uint64_t;
+struct Barrett {  // mod < 2^32
+   u64 m, im;
+   Barrett(u64 mod) : m(mod), im(-1ULL / m + 1) {}
+   // input: a * b < 2^64, output: a * b % mod
+   u64 mul(u64 a, u64 b) const {
+      a *= b;
+      u64 x = ((__uint128_t)a * im) >> 64;
+      a -= x * m;
+      if((ll)a < 0) a += m;
+      return a;
+   }
+};
+
+
+ +
+

modint.hpp

+ md5: 81b530 + +
+
+
const ll mod = 998244353;
+struct mm {
+   ll x;
+   mm(ll x_ = 0) : x(x_ % mod) {
+      if(x < 0) x += mod;
+   }
+   friend mm operator+(mm a, mm b) { return a.x + b.x; }
+   friend mm operator-(mm a, mm b) { return a.x - b.x; }
+   friend mm operator*(mm a, mm b) { return a.x * b.x; }
+   friend mm operator/(mm a, mm b) { return a * b.inv(); }
+   // 4 行コピペ  Alt + Shift + クリックで複数カーソル
+   friend mm& operator+=(mm& a, mm b) { return a = a.x + b.x; }
+   friend mm& operator-=(mm& a, mm b) { return a = a.x - b.x; }
+   friend mm& operator*=(mm& a, mm b) { return a = a.x * b.x; }
+   friend mm& operator/=(mm& a, mm b) { return a = a * b.inv(); }
+   mm inv() const { return pow(mod - 2); }
+   mm pow(ll b) const {
+      mm a = *this, c = 1;
+      while(b) {
+         if(b & 1) c *= a;
+         a *= a;
+         b >>= 1;
+      }
+      return c;
+   }
+};
+
+
+ +

FPS

+ +
+

FFT.hpp

+ md5: 3138c7 + +
+
+
// {998244353, 3}, {1811939329, 13}, {2013265921, 31}
+mm g = 3;  // 原始根
+void fft(vector<mm>& a) {
+   ll n = sz(a), lg = __lg(n);
+   assert((1 << lg) == n);
+   vector<mm> b(n);
+   rep(l, 1, lg + 1) {
+      ll w = n >> l;
+      mm s = 1, r = g.pow(mod >> l);
+      for(ll u = 0; u < n / 2; u += w) {
+         rep(d, 0, w) {
+            mm x = a[u << 1 | d], y = a[u << 1 | w | d] * s;
+            b[u | d] = x + y;
+            b[n >> 1 | u | d] = x - y;
+         }
+         s *= r;
+      }
+      swap(a, b);
+   }
+}
+vector<mm> conv(vector<mm> a, vector<mm> b) {
+   if(a.empty() || b.empty()) return {};
+   size_t s = sz(a) + sz(b) - 1, n = bit_ceil(s);
+   // if(min(sz(a), sz(b)) <= 60) 愚直に掛け算
+   a.resize(n);
+   b.resize(n);
+   fft(a);
+   fft(b);
+   mm inv = mm(n).inv();
+   rep(i, 0, n) a[i] *= b[i] * inv;
+   reverse(1 + all(a));
+   fft(a);
+   a.resize(s);
+   return a;
+}
+
+
+ +
+

FFT_fast.hpp

+ md5: c8c567 + +
+
+
// modint を u32 にして加減算を真面目にやると速い
+mm g = 3;  // 原始根
+void fft(vector<mm>& a) {
+   ll n = sz(a), lg = __lg(n);
+   static auto z = [] {
+      vector<mm> z(30);
+      mm s = 1;
+      rep(i, 2, 32) {
+         z[i - 2] = s * g.pow(mod >> i);
+         s *= g.inv().pow(mod >> i);
+      }
+      return z;
+   }();
+   rep(l, 0, lg) {
+      ll w = 1 << (lg - l - 1);
+      mm s = 1;
+      rep(k, 0, 1 << l) {
+         ll o = k << (lg - l);
+         rep(i, o, o + w) {
+            mm x = a[i], y = a[i + w] * s;
+            a[i] = x + y;
+            a[i + w] = x - y;
+         }
+         s *= z[countr_zero<uint64_t>(~k)];
+      }
+   }
+}
+// コピペ
+void ifft(vector<mm>& a) {
+   ll n = sz(a), lg = __lg(n);
+   static auto z = [] {
+      vector<mm> z(30);
+      mm s = 1;
+      rep(i, 2, 32) {  // g を逆数に
+         z[i - 2] = s * g.inv().pow(mod >> i);
+         s *= g.pow(mod >> i);
+      }
+      return z;
+   }();
+   for(ll l = lg; l--;) {  // 逆順に
+      ll w = 1 << (lg - l - 1);
+      mm s = 1;
+      rep(k, 0, 1 << l) {
+         ll o = k << (lg - l);
+         rep(i, o, o + w) {
+            mm x = a[i], y = a[i + w];  // *s を下に移動
+            a[i] = x + y;
+            a[i + w] = (x - y) * s;
+         }
+         s *= z[countr_zero<uint64_t>(~k)];
+      }
+   }
+}
+vector<mm> conv(vector<mm> a, vector<mm> b) {
+   if(a.empty() || b.empty()) return {};
+   size_t s = sz(a) + sz(b) - 1, n = bit_ceil(s);
+   // if(min(sz(a), sz(b)) <= 60) 愚直に掛け算
+   a.resize(n);
+   b.resize(n);
+   fft(a);
+   fft(b);
+   mm inv = mm(n).inv();
+   rep(i, 0, n) a[i] *= b[i] * inv;
+   ifft(a);
+   a.resize(s);
+   return a;
+}
+
+
+ +

graph

+ +

graph/tree

+ +

flow

+ +
+

燃やす埋める.md

+
+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
変形前の制約変形後の制約
$x$ が $0$ のとき $z$ 失う$(x, T, z)$
$x$ が $0$ のとき $z$ 得る無条件で $z$ 得る; $(S, x, z)$
$x$ が $1$ のとき $z$ 失う$(S, x, z)$
$x$ が $1$ のとき $z$ 得る無条件で $z$ 得る; $(x, T, z)$
$x, y, \dots$ がすべて $0$ のとき $z$ 得る無条件で $z$ 得る; $(S, w, z), (w, x, \infty), (w, y, \infty)$
$x, y, \dots$ がすべて $1$ のとき $z$ 得る無条件で $z$ 得る; $(w, T, z), (x, w, \infty), (y, w, \infty)$
+
+ +

string

+ +
+

KMP.hpp

+ md5: 886c63 + +
+
+
// kmp[i] := max{ l ≤ i | s[:l] == s[(i+1)-l:i+1] }
+// abacaba -> 0010123
+auto KMP(string s) {
+   vector<ll> p(sz(s));
+   rep(i, 1, sz(s)) {
+      ll g = p[i - 1];
+      while(g && s[i] != s[g]) g = p[g - 1];
+      p[i] = g + (s[i] == s[g]);
+   }
+   return p;
+}
+
+
+ +
+

Manacher.hpp

+ md5: 5882fb + +
+
+
// 各位置での回文半径を求める
+// aaabaaa -> 1214121
+// 偶数長の回文を含めて直径を知るには,N+1 個の $ を挿入して 1 を引く
+// $a$a$a$b$a$a$a$ -> 123432181234321
+auto manacher(string s) {
+   ll n = sz(s), i = 0, j = 0;
+   vector<ll> r(n);
+   while(i < n) {
+      while(i >= j && i + j < n && s[i - j] == s[i + j]) j++;
+      r[i] = j;
+      ll k = 1;
+      while(i >= k && i + k < n && k + r[i - k] < j) {
+         r[i + k] = r[i - k];
+         k++;
+      }
+      i += k, j -= k;
+   }
+   return r;
+}
+
+
+ +
+

RollingHash.hpp

+ md5: adb8d3 + +
+
+
// using u64 = uint64_t;
+const u64 mod = INF;
+u64 add(u64 a, u64 b) {
+   a += b;
+   if(a >= mod) a -= mod;
+   return a;
+}
+u64 mul(u64 a, u64 b) {
+   auto c = (__uint128_t)a * b;
+   return add(c >> 61, c & mod);
+}
+random_device rnd;
+const u64 r = ((u64)rnd() << 32 | rnd()) % mod;
+struct RH {
+   ll n;
+   vector<u64> hs, pw;
+   RH(string s) : n(sz(s)), hs(n + 1), pw(n + 1, 1) {
+      rep(i, 0, n) {
+         pw[i + 1] = mul(pw[i], r);
+         hs[i + 1] = add(mul(hs[i], r), s[i]);
+      }
+   }
+   u64 get(ll l, ll r) const { return add(hs[r], mod - mul(hs[l], pw[r - l])); }
+};
+
+
+ +
+

SuffixArray.hpp

+ md5: 1d70ce + +
+
+
// returns pair{sa, lcp}
+// sa 長さ n : s[sa[0]:] < s[sa[1]:] < … < s[sa[n-1]:]
+// lcp 長さ n-1 : lcp[i] = LCP(s[sa[i]:], s[sa[i+1]:])
+auto SA(string s) {
+   ll n = sz(s) + 1, lim = 256;
+   // assert(lim > ranges::max(s));
+   vector<ll> sa(n), lcp(n), x(all(s) + 1), y(n), ws(max(n, lim)), rk(n);
+   iota(all(sa), 0);
+   for(ll j = 0, p = 0; p < n; j = max(1LL, j * 2), lim = p) {
+      p = j;
+      iota(all(y), n - j);
+      rep(i, 0, n) if(sa[i] >= j) y[p++] = sa[i] - j;
+      fill(all(ws), 0);
+      rep(i, 0, n) ws[x[i]]++;
+      rep(i, 1, lim) ws[i] += ws[i - 1];
+      for(ll i = n; i--;) sa[--ws[x[y[i]]]] = y[i];
+      swap(x, y);
+      p = 1;
+      x[sa[0]] = 0;
+      rep(i, 1, n) {
+         ll a = sa[i - 1], b = sa[i];
+         x[b] = (y[a] == y[b] && y[a + j] == y[b + j]) ? p - 1 : p++;
+      }
+   }
+   rep(i, 1, n) rk[sa[i]] = i;
+   for(ll i = 0, k = 0; i < n - 1; lcp[rk[i++]] = k) {
+      if(k) k--;
+      while(s[i + k] == s[sa[rk[i] - 1] + k]) k++;
+   }
+   sa.erase(begin(sa));
+   lcp.erase(begin(lcp));
+   return pair{sa, lcp};
+}
+
+
+ +
+

Zalgorithm.hpp

+ md5: b20b04 + +
+
+
// Z[i] := LCP(s, s[i:])
+// abacaba -> 7010301
+auto Z(string s) {
+   ll n = sz(s), l = -1, r = -1;
+   vector<ll> z(n, n);
+   rep(i, 1, n) {
+      ll& x = z[i] = i < r ? min(r - i, z[i - l]) : 0;
+      while(i + x < n && s[i + x] == s[x]) x++;
+      if(i + x > r) l = i, r = i + x;
+   }
+   return z;
+}
+
+
+ +

algorithm

+ +

geometry

+ +

memo

+ +
+

Primes.md

+
+

素数の個数

+ + + + + + + + + + + + + + + + + + + + + + + + + +
$n$$10^2$$10^3$$10^4$$10^5$$10^6$$10^7$$10^8$$10^9$
$\pi(n)$$25$$168$$1229$$9592$$78498$$6.6 \times 10^5$$5.8 \times 10^6$$5.1 \times 10^7$
+

高度合成数

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
$≤n$$10^3$$10^4$$10^5$$10^6$$10^7$$10^8$$10^9$
$x$840756083160720720864864073513440735134400
$d^0(x)$32641282404487681344
+ + + + + + + + + + + + + + + + + + + + + + + + + + + +
$≤n$$10^{10}$$10^{11}$$10^{12}$$10^{13}$$10^{14}$$10^{15}$$10^{16}$$10^{17}$$10^{18}$
$d^0(x)$2304403267201075217280268804147264512103680
+

素数階乗

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
$n$$2$$3$$5$$7$$11$$13$$17$$19$$23$$29$
$n\#$26302102310300305105109699690$2.2 \times 10^8$$6.5 \times 10^9$
+

階乗

+ + + + + + + + + + + + + + + + + + + + + + + +
$5!$$6!$$7!$$8!$$9!$$10!$$11!$$12!$
1207205040403203628803628800$4.0 \times 10^7$$4.8 \times 10^8$
+
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