#include using namespace std; const int maxn = 2010; int n, m, v, e; int f[maxn][maxn], c[maxn], d[maxn]; double dp[maxn][maxn][2], p[maxn]; int main() { scanf("%d %d %d %d", &n, &m, &v, &e); for (int i = 1; i <= n; i++) scanf("%d", &c[i]); for (int i = 1; i <= n; i++) scanf("%d", &d[i]); for (int i = 1; i <= n; i++) scanf("%lf", &p[i]); for (int i = 1; i <= v; i++) for (int j = 1; j < i; j++) f[i][j] = f[j][i] = 1e9; int u, V, w; for (int i = 1; i <= e; i++) { scanf("%d %d %d", &u, &V, &w); f[u][V] = f[V][u] = min(w, f[u][V]); } for (int k = 1; k <= v; k++) for (int i = 1; i <= v; i++) // 前面的,按照前面的题解进行一个状态转移 for (int j = 1; j < i; j++) if (f[i][k] + f[k][j] < f[i][j]) f[i][j] = f[j][i] = f[i][k] + f[k][j]; for (int i = 1; i <= n; i++) for (int j = 0; j <= m; j++) dp[i][j][0] = dp[i][j][1] = 1e9; dp[1][0][0] = dp[1][1][1] = 0; for (int i = 2; i <= n; i++) // 有后效性方程 for (int j = 0; j <= min(i, m); j++) { dp[i][j][0] = min(dp[i - 1][j][0] + f[c[i - 1]][c[i]], dp[i - 1][j][1] + f[c[i - 1]][c[i]] * (1 - p[i - 1]) + f[d[i - 1]][c[i]] * p[i - 1]); if (j != 0) { dp[i][j][1] = min(dp[i - 1][j - 1][0] + f[c[i - 1]][d[i]] * p[i] + f[c[i - 1]][c[i]] * (1 - p[i]), dp[i - 1][j - 1][1] + f[c[i - 1]][c[i]] * (1 - p[i - 1]) * (1 - p[i]) + f[c[i - 1]][d[i]] * (1 - p[i - 1]) * p[i] + f[d[i - 1]][c[i]] * (1 - p[i]) * p[i - 1] + f[d[i - 1]][d[i]] * p[i - 1] * p[i]); } } double ans = 1e9; for (int i = 0; i <= m; i++) ans = min(dp[n][i][0], min(dp[n][i][1], ans)); printf("%.2lf", ans); return 0; }