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808.java
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808.java
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__________________________________________________________________________________________________
sample 0 ms submission
class Solution {
public double soupServings(int N) {
if (N > 4800) {
return 1;
}
int servings = N % 25 == 0 ? N/25 : N/25+1;
return helper(servings, servings, new double[servings+1][servings+1]);
}
private double helper(int a, int b, double[][] memo) {
if (a <= 0 && b <= 0) {
return 0.5;
}
if (a <= 0) {
return 1;
}
if (b <= 0) {
return 0;
}
if (memo[a][b] > 0) {
return memo[a][b];
}
double p = 0;
for (int i=1; i<=4; i++) {
p += 0.25 * helper(a-i, b-(4-i), memo);
}
memo[a][b] = p;
return p;
}
}
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sample 32228 kb submission
class Solution {
static double[][] memo = new double[200][200];
public double soupServings(int N) {
return N >= 4800 ? 1.0 : f((N + 24) / 25, (N + 24) / 25);
}
public double f(int a, int b) {
if (a <= 0 && b <= 0) return 0.5;
if (a <= 0) return 1;
if (b <= 0) return 0;
if (memo[a][b] > 0) return memo[a][b];
memo[a][b] = 0.25 * (f(a - 4, b) + f(a - 3, b - 1) + f(a - 2, b - 2) + f(a - 1, b - 3));
return memo[a][b];
}
}
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