#include<bits/stdc++.h>
using namespace std;
const int M = 1000000007;
using P = pair<int, int>;


int main() {
    // cin.tie(0);
    // ios::sync_with_stdio(0);
    int n, l;
    scanf("%d%d", &n, &l);
    l *= 60;
    vector<int> a(n);
    for (int i = 0; i < n; ++i) {
        int x, y;
        scanf("%d:%d", &x, &y);
        a[i] = min(l, x * 60 + y);
    }
    vector<double> facts(n + 1);
    facts[0] = 1;
    for (int i = 1; i <= n; ++i) {
        facts[i] = facts[i - 1] * i;
    }
    int lim = l * 2 + 1;
    vector<vector<double>> dp(n + 1, vector<double>(lim)), dp2;
    dp[0][0] = 1;
    for (int i = 0; i < n; ++i) {
        for (int j = n; j > 0; --j) {
            for (int k = lim - 1; k >= a[i]; --k) {
                dp[j][k] += dp[j - 1][k - a[i]];
            }
        }
    }
    double ans = 0;
    for (int i = 0; i < n; ++i) {
        dp2 = dp;
        for (int j = 1; j < n; ++j) {
            for (int k = a[i]; k < lim; ++k) {
                dp2[j][k] -= dp2[j - 1][k - a[i]];
            }
        }
        for (int j = 0; j < n; ++j) {
            for (int k = 0; k < l; ++k) {
                ans += dp2[j][k] * facts[j] * facts[n - j - 1];
            }
        }
    }
    cout << setprecision(16) << ans / facts[n] << '\n';
    return 0;
}