From 1befb5cf744e80eceb122e7b4ca8563c6442be04 Mon Sep 17 00:00:00 2001 From: Zengtudor Date: Thu, 21 Nov 2024 11:37:33 +0800 Subject: [PATCH] update --- src/20241121/U504526.cpp | 125 ++++++++++ src/20241121/U504527.cpp | 32 +++ src/20241121/chain/1.ans | 1 + src/20241121/chain/1.in | 2 + src/20241121/chain/2.ans | 1 + src/20241121/chain/2.in | 2 + src/20241121/chain/3.ans | 1 + src/20241121/chain/3.in | 2 + src/20241121/chain/4.ans | 500 ++++++++++++++++++++++++++++++++++++++ src/20241121/chain/4.in | 501 +++++++++++++++++++++++++++++++++++++++ src/20241121/chain/5.ans | 1 + src/20241121/chain/5.in | 2 + src/20241121/chain/6.ans | 500 ++++++++++++++++++++++++++++++++++++++ src/20241121/chain/6.in | 501 +++++++++++++++++++++++++++++++++++++++ src/20241121/equiv/1.ans | 1 + src/20241121/equiv/1.in | 1 + src/20241121/equiv/2.ans | 1 + src/20241121/equiv/2.in | 1 + src/20241121/equiv/3.ans | 1 + src/20241121/equiv/3.in | 1 + src/20241121/equiv/4.ans | 1 + src/20241121/equiv/4.in | 1 + src/20241121/equiv/5.ans | 1 + src/20241121/equiv/5.in | 1 + src/20241121/equiv/6.ans | 1 + src/20241121/equiv/6.in | 1 + src/20241121/equiv/7.ans | 1 + src/20241121/equiv/7.in | 1 + 28 files changed, 2185 insertions(+) create mode 100644 src/20241121/U504526.cpp create mode 100644 src/20241121/U504527.cpp create mode 100644 src/20241121/chain/1.ans create mode 100644 src/20241121/chain/1.in create mode 100644 src/20241121/chain/2.ans create mode 100644 src/20241121/chain/2.in create mode 100644 src/20241121/chain/3.ans create mode 100644 src/20241121/chain/3.in create mode 100644 src/20241121/chain/4.ans create mode 100644 src/20241121/chain/4.in create mode 100644 src/20241121/chain/5.ans create mode 100644 src/20241121/chain/5.in create mode 100644 src/20241121/chain/6.ans create mode 100644 src/20241121/chain/6.in create mode 100644 src/20241121/equiv/1.ans create mode 100644 src/20241121/equiv/1.in create mode 100644 src/20241121/equiv/2.ans create mode 100644 src/20241121/equiv/2.in create mode 100644 src/20241121/equiv/3.ans create mode 100644 src/20241121/equiv/3.in create mode 100644 src/20241121/equiv/4.ans create mode 100644 src/20241121/equiv/4.in create mode 100644 src/20241121/equiv/5.ans create mode 100644 src/20241121/equiv/5.in create mode 100644 src/20241121/equiv/6.ans create mode 100644 src/20241121/equiv/6.in create mode 100644 src/20241121/equiv/7.ans create mode 100644 src/20241121/equiv/7.in diff --git a/src/20241121/U504526.cpp b/src/20241121/U504526.cpp new file mode 100644 index 0000000..d0701cf --- /dev/null +++ b/src/20241121/U504526.cpp @@ -0,0 +1,125 @@ +#include +using namespace std; + +typedef long long ll; +const int MOD = 1e9 + 7; + +ll pd(ll base, ll exp, ll mod) +{ + ll res = 1; + base %= mod; + while (exp > 0) + { + if (exp & 1LL) + { + res = res * base % mod; + } + base = base * base % mod; + exp >>= 1LL; + } + return res; +} + +int main() +{ + ios::sync_with_stdio(false); + cin.tie(0); + + int m, q; + cin >> m >> q; + vector que(q); + for (auto &x : que) + cin >> x; + + int max_n = 0; + for (auto n : que) + max_n = max(max_n, n); + + if (m == 1) + { + + for (auto n : que) + { + if (n == 0) + { + cout << "1\n"; + } + else + { + ll ans = pd(2, n - 1, MOD); + cout << ans << "\n"; + } + } + return 0; + } + + vector dpp(m + 2, 0); + dpp[1] = 1; + + for (int i = 0; i < max_n; ++i) + { + vector dpc(m + 2, 0); + + for (int j = 1; j <= m; ++j) + { + if (dpp[j] == 0) + continue; + + ll de = (dpp[j] * (2LL * j)) % MOD; + dpc[j] = (dpc[j] + de) % MOD; + + if (j < m) + { + + ll di = (dpp[j] * (j)) % MOD; + dpc[j + 1] = (dpc[j + 1] + di) % MOD; + } + } + dpp = dpc; + } + + vector> dpa(max_n + 1, vector(m + 2, 0)); + dpa[0][1] = 1; + + for (int del = 0; del < max_n; ++del) + { + for (int j = 1; j <= m; ++j) + { + if (dpa[del][j] == 0) + continue; + + ll we = (dpa[del][j] * (2LL * j)) % MOD; + dpa[del + 1][j] = (dpa[del + 1][j] + we) % MOD; + + if (j < m) + { + ll wi = (dpa[del][j] * j) % MOD; + dpa[del + 1][j + 1] = (dpa[del + 1][j + 1] + wi) % MOD; + } + } + } + + for (auto n : que) + { + if (n == 0) + { + + cout << "1\n"; + continue; + } + if (n > max_n) + { + + cout << "0\n"; + continue; + } + + ll ans = 0; + for (int j = 1; j <= m; ++j) + { + ans = (ans + dpa[n][j]) % MOD; + } + + cout << ans << "\n"; + } +} diff --git a/src/20241121/U504527.cpp b/src/20241121/U504527.cpp new file mode 100644 index 0000000..07ceb39 --- /dev/null +++ b/src/20241121/U504527.cpp @@ -0,0 +1,32 @@ +#include +using namespace std; +typedef long long ll; +const int MOD = 998244353; +ll n, res, m; +ll ca = 0; +void dfs(int pos, ll cn) { + if (pos == n) { + if (cn % m == res) { + ca = (ca + 1) % MOD; + } + return; + } + for (ll a = 0; a < m; ++a) { + dfs(pos + 1, (cn * a) % m); + } +} +int main(){ + cin >> n >> res >> m; + if (n == 0){ + if (res == 1 % m){ + cout << 1 << endl; + } + else{ + cout << 0 << endl; + } + return 0; + } + dfs(0, 1); + cout << ca % MOD << endl; + return 0; +} diff --git a/src/20241121/chain/1.ans b/src/20241121/chain/1.ans new file mode 100644 index 0000000..e9d93fa --- /dev/null +++ b/src/20241121/chain/1.ans @@ -0,0 +1 @@ +16 diff --git a/src/20241121/chain/1.in b/src/20241121/chain/1.in new file mode 100644 index 0000000..8a481a5 --- /dev/null +++ b/src/20241121/chain/1.in @@ -0,0 +1,2 @@ +1 1 +5 \ No newline at end of file diff --git a/src/20241121/chain/2.ans b/src/20241121/chain/2.ans new file mode 100644 index 0000000..a5f18d3 --- /dev/null +++ b/src/20241121/chain/2.ans @@ -0,0 +1 @@ +678247101 diff --git a/src/20241121/chain/2.in b/src/20241121/chain/2.in new file mode 100644 index 0000000..bb04ed9 --- /dev/null +++ b/src/20241121/chain/2.in @@ -0,0 +1,2 @@ +1 1 +508872207 diff --git a/src/20241121/chain/3.ans b/src/20241121/chain/3.ans new file mode 100644 index 0000000..da12824 --- /dev/null +++ b/src/20241121/chain/3.ans @@ -0,0 +1 @@ +13029318 diff --git a/src/20241121/chain/3.in b/src/20241121/chain/3.in new file mode 100644 index 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