Submission #1256101

#TimeUsernameProblemLanguageResultExecution timeMemory
1256101LucaLucaMMisspelling (JOI22_misspelling)C++20
100 / 100
1661 ms147316 KiB
#include <iostream> #include <vector> #include <algorithm> #include <cassert> using ll = long long; #define debug(x) #x << " = " << x << '\n' const int mod = 1e9 + 7; const int SIGMA = 26; struct DSU { std::vector<int> p; void init(int n) { p.resize(n + 3); for (int i = 0; i < n + 3; i++) { p[i] = i; } } bool is(int u) { return p[u] != u; } int root(int u) { return p[u] == u? u : p[u] = root(p[u]); } void mark(int u) { p[u] = u + 1; } }; int main() { std::ios_base::sync_with_stdio(false); std::cin.tie(0); int n, m; std::cin >> n >> m; std::vector<std::vector<int>> gpos(n + 2), gneg(n + 2); for (int i = 0; i < m; i++) { int a, b; std::cin >> a >> b; if (a < b) { gneg[a + 1].push_back(b); } else if (b < a) { gpos[b + 1].push_back(a); } } DSU positive; DSU negative; positive.init(n); negative.init(n); std::vector<std::vector<int>> contrib(SIGMA, std::vector<int>(n + 2, 0)); // contrib[x][0] = sum{contrib[x][*]} std::vector<std::vector<int>> dp(SIGMA, std::vector<int>(n + 2, 0)); // contrib[x][0] = sum{contrib[x][*]} auto refreshSum = [&](int u) { bool isPositive = positive.is(u); bool isNegative = negative.is(u); for (int x = 0; x < SIGMA; x++) { contrib[x][0] -= contrib[x][u]; contrib[x][0] += mod; contrib[x][0] %= mod; contrib[x][u] = 0; if (isPositive && isNegative) { contrib[x][u] = 0; } else if (isNegative) { for (int y = 0; y < x; y++) { contrib[x][u] += dp[y][u]; contrib[x][u] %= mod; } } else if (isPositive) { for (int y = x + 1; y < SIGMA; y++) { contrib[x][u] += dp[y][u]; contrib[x][u] %= mod; } } else { for (int y = 0; y < SIGMA; y++) { if (x != y) { contrib[x][u] += dp[y][u]; contrib[x][u] %= mod; } } } contrib[x][0] += contrib[x][u]; contrib[x][0] %= mod; } }; auto markPositive = [&](int l, int r) { int u = positive.root(l); while (u <= r) { positive.mark(u); refreshSum(u); u = positive.root(u); } }; auto markNegative = [&](int l, int r) { int u = negative.root(l); while (u <= r) { negative.mark(u); refreshSum(u); u = negative.root(u); } }; for (int i = n; i > 0; i--) { for (int j : gpos[i + 1]) { markPositive(i + 1, j); } for (int j : gneg[i + 1]) { markNegative(i + 1, j); } for (int x = 0; x < SIGMA; x++) { dp[x][i] = (1 + contrib[x][0]) % mod; } refreshSum(i); } ll answer = 0; for (int i = 0; i < SIGMA; i++) { answer += dp[i][1]; } std::cout << answer % mod; return 0; }
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