标签:long ace get out stdout str ios std stream
区间dp
题意:
给你长度为m的字符串,其中有n种字符,每种字符都有两个值,分别是插入这个字符的代价,删除这个字符的代价,让你求将原先给出的那串字符变成一个回文串的最小代价。
M<=2000
设 dp[i][j] 为区间 i~j 的回文串的最小代价
现在考虑怎样从别的状态转移到 区间i~j
三种情况
首先 str[i]==str[j] 那么 dp[i][j] = dp[i+1][j-1]
其次 (i+1)~j 是一个回文串 dp[i][j] = dp[i+1][j] + (add[str[i]] / del[str[i]])
最后 i~(j-1) 是一个回文串 dp[i][j] = dp[i][j-1] + (add[str[j]] / del[str[j]])
代码:
1 #include<cmath> 2 #include<cstdio> 3 #include<cstring> 4 #include<cstdlib> 5 #include<iostream> 6 #include<algorithm> 7 #define APART puts("----------------------") 8 #define debug 1 9 #define FILETEST 1 10 #define inf 2010 11 #define ll long long 12 #define ha 998244353 13 #define INF 0x7fffffff 14 #define INF_T 9223372036854775807 15 #define DEBUG printf("%s %d\n",__FUNCTION__,__LINE__) 16 17 namespace chino{ 18 19 inline void setting(){ 20 #if FILETEST 21 freopen("_test.in", "r", stdin); 22 freopen("_test.me.out", "w", stdout); 23 #endif 24 return; 25 } 26 27 inline int read(){ 28 char c = getchar(), up = c; int num = 0; 29 for(; c < ‘0‘ || c > ‘9‘; up = c, c = getchar()); 30 for(; c >= ‘0‘ && c <= ‘9‘; num = (num << 3) + (num << 1) + (c ^ ‘0‘), c = getchar()); 31 return up == ‘-‘ ? -num : num; 32 } 33 34 int n, m; 35 char s[inf]; 36 int add[inf], del[inf]; 37 int dp[inf][inf]; 38 39 inline int main(){ 40 n = read(), m = read(); 41 scanf("%s", s + 1); 42 for(int i = 1; i <= n; i++){ 43 char c = 0; 44 std::cin >> c; 45 add[c * 1] = read(); 46 del[c * 1] = read(); 47 } 48 int len = strlen(s + 1); 49 for(int i = 2; i <= len; i++){ 50 dp[i][i] = 0; 51 for(int j = i - 1; j; j--){ 52 dp[j][i] = INF; 53 if(s[i] == s[j]) 54 dp[j][i] = dp[j + 1][i - 1]; 55 dp[j][i] = std::min (dp[j][i] , dp[j + 1][i] + std::min (add[s[j] * 1], del[s[j] * 1])); 56 dp[j][i] = std::min (dp[j][i] , dp[j][i - 1] + std::min (add[s[i] * 1], del[s[i] * 1])); 57 } 58 } 59 printf("%d\n", dp[1][len]); 60 return 0; 61 } 62 63 }//namespace chino 64 65 int main(){return chino::main();}
[poj]3280 Cheapest Palindrome 题解
标签:long ace get out stdout str ios std stream
原文地址:https://www.cnblogs.com/chiarochinoful/p/problem-poj-3280.html