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Java-based LeetCode algorithm problem solutions, regularly updated
package g0801_0900.s0837_new_21_game;
// #Medium #Dynamic_Programming #Math #Sliding_Window #Probability_and_Statistics
// #2022_03_24_Time_5_ms_(77.70%)_Space_43.8_MB_(59.58%)
public class Solution {
public double new21Game(int n, int k, int w) {
if (n >= k + w || k == 0) {
return 1.0;
}
double[] dp = new double[n + 1];
dp[0] = 1.0;
double res = 0.0;
double runningSum = dp[0];
for (int i = 1; i <= n; i++) {
dp[i] = runningSum / w;
if (i < k) {
runningSum += dp[i];
} else {
res += dp[i];
}
if (i - w >= 0) {
runningSum -= dp[i - w];
}
}
return res;
}
}