LIS (DP)_代码
1 #include <stdio.h> 2 #include <string.h> 3 #include <stdlib.h> 4 int max(int a, int b); 5 int main() 6 { 7 int n; 8 scanf("%d", &n); 9 int i; 10 //arr stores data 11 int arr[101]; 12 //path stores LIS result 13 int path[101]; 14 //init 15 memset(arr, 0x00, sizeof(arr)); 16 memset(path, 0x00, sizeof(path)); 17 //input test data 18 for (i = 0; i < n; i++) { 19 scanf("%d", &arr[i]); 20 } 21 22 for (i = 0; i < n; ++i) { 23 if(i==0){ 24 path[i] = 1; 25 } 26 else { 27 //Before arr[i],path[0~i-1] has been found, 28 //if(arr[i-1] <= arr[i]) path[i] = path[i-1]+1; 29 if(arr[i-1] <= arr[i]){ 30 path[i] = path[i-1]+1; 31 }else { 32 //or else compare arr[i] with arr[i-1~0] until arr[x] <= arr[i] 33 int idx; 34 for(idx=i-1;idx>=0;--idx){ 35 if(arr[idx]<=arr[i]){ 36 path[i] = path[idx]+1; 37 break; 38 }else { 39 path[i] = 1; 40 continue; 41 } 42 } 43 44 } 45 } 46 } 47 48 int max = 0; 49 for (i = 0; i < n; i++) { 50 if (max < path[i]) { 51 max = path[i]; 52 } 53 } 54 printf("%d\n", max); 55 return 0; 56 } 57 /* 58 6 59 5 3 4 8 6 7 60 */ 61 int max(int a, int b) 62 { 63 return ((a >= b) ? a : b); 64 }