三角形最小路徑和

 1 void trianglePrint(int** triangle, int triangleSize, int* triangleColSize){
 2     int i, j;
 3     for (i=0; i<triangleSize; ++i){
 4         for (j=0; j<triangleColSize[i]; ++j){
 5                 printf("%d ", triangle[i][j]);
 6         }
 7         printf("\n");
 8     }
 9     return
 
 ;
10 }
11 
12 int minimumTotal(int** triangle, int triangleSize, int* triangleColSize){
13     #define MINIMUM(a, b) ((a)>(b)?(b):(a))
14     #define MAXIMUM(a, b) ((a)<(b)?(b):(a))
15     int **dp, i, j, k, ret=0, n;
16     if (triangleSize == 1) {
17         return triangle[0][0];
18     }
19     dp = malloc
 
(sizeof(int*) * triangleSize);
20     for (i=0; i<triangleSize; ++i){
21         dp[i] = malloc(sizeof(int) * triangleColSize[i]);
22         memset(dp[i], 0, sizeof(int) * triangleColSize[i]);
23     }
24     
25     dp[0][0] = triangle[0][0];
26     dp[1][0] = triangle[1][0] + dp[0][0];
27     dp[1][1] = triangle[1
 
][1] + dp[0][0];
28     //trianglePrint(dp, triangleSize, triangleColSize);
29 
30     for(i=2; i<triangleSize; ++i) {
31         dp[i][0] = dp[i-1][0]+triangle[i][0];
32         
33         for (j=1; j<triangleColSize[i]-1; ++j){
34             dp[i][j] = MINIMUM(dp[i-1][j-1], dp[i-1][j]) + triangle[i][j];
35         }
36         
37         dp[i][triangleColSize[i]-1] = dp[i-1][triangleColSize[i-1]-1] + triangle[i][triangleColSize[i]-1];
38     }
39     //trianglePrint(dp, triangleSize, triangleColSize);
40     i = triangleSize - 1;
41     ret = dp[i][0];
42     for (j = 1; j < triangleColSize[i]; ++j){
43         ret = MINIMUM(ret, dp[i][j]);
44     }
45     
46     //free
47     for (i=0; i<triangleSize; ++i) {
48         free(dp[i]);
49     }
50     free(dp);
51     return ret;
52 }