mirror of
https://git.sb/baoshuo/OI-codes.git
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61a6f5bd8c
92
LibreOJ/2360/2360.cpp
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92
LibreOJ/2360/2360.cpp
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#include <iostream>
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#include <algorithm>
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#include <cstring>
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#include <iomanip>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 2005,
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V = 305;
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int n, m, v, e, c[N], d[N], g[V][V];
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double p[N], f[N][N][2], ans = 1e9;
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> n >> m >> v >> e;
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memset(g, 0x3f, sizeof(g));
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for (int i = 1; i <= n; i++) {
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cin >> c[i];
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}
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for (int i = 1; i <= n; i++) {
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cin >> d[i];
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}
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for (int i = 1; i <= n; i++) {
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cin >> p[i];
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}
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for (int i = 1; i <= v; i++) {
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g[i][i] = 0;
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}
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for (int i = 1, a, b, w; i <= e; i++) {
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cin >> a >> b >> w;
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g[a][b] = g[b][a] = std::min(g[a][b], w);
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}
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for (int k = 1; k <= v; k++) {
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for (int i = 1; i <= v; i++) {
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for (int j = 1; j <= v; j++) {
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g[i][j] = std::min(g[i][j], g[i][k] + g[k][j]);
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}
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}
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}
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for (int i = 1; i <= n; i++) {
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for (int j = 0; j <= m; j++) {
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f[i][j][0] = f[i][j][1] = 1e9;
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}
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}
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f[1][0][0] = f[1][1][1] = 0;
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for (int i = 2; i <= n; i++) {
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for (int j = 0; j <= std::min(m, i); j++) {
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f[i][j][0] = std::min(
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f[i - 1][j][0]
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+ g[c[i - 1]][c[i]],
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f[i - 1][j][1]
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+ p[i - 1] * g[d[i - 1]][c[i]]
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+ (1.0 - p[i - 1]) * g[c[i - 1]][c[i]]);
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if (j) {
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f[i][j][1] = std::min(
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f[i - 1][j - 1][0]
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+ p[i] * g[c[i - 1]][d[i]]
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+ (1.0 - p[i]) * g[c[i - 1]][c[i]],
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f[i - 1][j - 1][1]
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+ p[i - 1] * p[i] * g[d[i - 1]][d[i]]
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+ (1.0 - p[i - 1]) * p[i] * g[c[i - 1]][d[i]]
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+ p[i - 1] * (1.0 - p[i]) * g[d[i - 1]][c[i]]
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+ (1.0 - p[i - 1]) * (1.0 - p[i]) * g[c[i - 1]][c[i]]);
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}
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}
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}
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for (int i = 0; i <= m; i++) {
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ans = std::min({ans, f[n][i][0], f[n][i][1]});
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}
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cout << std::fixed << std::setprecision(2) << ans << endl;
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return 0;
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}
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