g0801_0900.s0808_soup_servings.Solution Maven / Gradle / Ivy
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Java-based LeetCode algorithm problem solutions, regularly updated
package g0801_0900.s0808_soup_servings;
// #Medium #Dynamic_Programming #Math #Probability_and_Statistics
public class Solution {
public double soupServings(int n) {
return solve(n);
}
private double solve(int n) {
n = n / 25 + (n % 25 > 0 ? 1 : 0);
if (n >= 500) {
return 1.0;
}
return find(n, n, new Double[n + 1][n + 1]);
}
private double find(int a, int b, Double[][] mem) {
if (a <= 0 && b <= 0) {
return 0.5;
} else if (a <= 0) {
return 1;
} else if (b <= 0) {
return 0;
}
double prob;
if (mem[a][b] != null) {
return mem[a][b];
}
prob = find(a - 4, b, mem);
prob += find(a - 3, b - 1, mem);
prob += find(a - 2, b - 2, mem);
prob += find(a - 1, b - 3, mem);
mem[a][b] = 0.25 * prob;
return mem[a][b];
}
}