uva_590_Always on the run (普通DP)
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这个题目阶段性很明显,就是一个图的遍历状态:dp[i][j] 表示第i天到达城市j的最小花费状态转移:dp[i][j] = dp[i-1][z]+cost[z][j]ans = dp[n][k]#include <cstdio>#include <cstring>#include <algorithm>using namespace std;#define MAXN 11#define MAXK 1001#define INF 549755813888typedef struct DAYTYPE_ { long long cnt, arr[MAXK];}DAYTYPE;long long dp[MAXK][MAXN];DAYTYPE price[MAXN][MAXN];long long get_price(const int &u, const int &v, const int &day){ if( u == v ) { return INF; } int val = (day%price[u][v].cnt)? price[u][v].arr[ day%price[u][v].cnt ] : price[u][v].arr[ price[u][v].cnt ]; return (val)? val : INF;}long long dynamic_programming(const int &n, const int &k){ for(int i = 2; i <= n; i ++) { dp[1][i] = (price[1][i].arr[1])? price[1][i].arr[1] : INF; } for(int i = 2; i <= k; i ++) { for(int j = 1; j <= n; j ++) { dp[i][j] = INF; for(int z = 1; z <= n; z ++) { dp[i][j] = min(dp[i][j], (-1 == dp[i-1][z])? INF : dp[i-1][z] + get_price(z, j, i)); } } } return dp[k][n];}int main(int argc, char const *argv[]){#ifndef ONLINE_JUDGE freopen("test.in", "r", stdin);#endif long long rst; int n, k, cnt, cas(1); while( scanf("%d %d", &n, &k) && n && k ) { memset(price, -1, sizeof(price)); memset(dp, -1, sizeof(dp)); for(int i = 1; i <= n; i ++) { for(int j = 1; j <= n; j ++) { if( i == j ) { continue; } scanf("%lld", &price[i][j].cnt); for(int k = 1; k <= price[i][j].cnt; k ++) { scanf("%lld", &price[i][j].arr[k]); } } } printf("Scenario #%d\n", cas ++); if( (rst = dynamic_programming(n, k)) >= INF ) { printf("No flight possible.\n\n"); continue; } printf("The best flight costs %lld.\n\n", rst); } return 0;}