leetcode1039 minimum score triangulation of polygon

典型动归,拆分子问题即可,注意环的问题
f[i][j] = min(f[i][k]+f[k][j]+ a[i]a[j]a[k],f[i][j]);

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class Solution {
public int minScoreTriangulation(int[] A) {

int n = A.length;
int[] a = new int[n*2];
for(int i=0;i<n*2;i++){
a[i] = A[i % n];
}
int[][] f = new int[n*2][n*2];
for(int i=0;i<n*2;i++)
for(int j=0;j<n*2;j++){
f[i][j] = 50000000;
}
for(int i=0;i<n*2-1;i++){
f[i][i+1] = 0;
}
for(int len=3;len<=n;len++)
for(int i=0;i<n*2-len+1;i++){
int j= i+len-1;
for (int k=i+1;k<j;k++) {

f[i][j] = min(f[i][k]+f[k][j]+ a[i]*a[j]*a[k],f[i][j]);

}
}

int m = 50000000;
for(int i=0;i<n;i++){
m = min(m,f[i][i+n-1]);
}
return m;
}

private int min(int a,int b){
if (a>b){
return b;
}
return a;
}
}