SGU 104 Little shop of flowers [dp]

http://acm.sgu.ru/problem.php?contest=0&problem=104

题意：V个花盆排成一列，有F束花，现给出a[i][j]表示第i束花放在第j个花盆的美观度。要把F束花都放到盆里，编号小的花必须放到编号大的花的前面，每个盆最多放一束，问美观度的最大和是多少，还要输出每束花放的花盆编号。

d[i][j]表示i号花放在j号花盆的最大美观度。

则d[i][j] = max { d[i-1][k] | i-1 <= k <= j-1 } + a[i][j]

#include<iostream>
#include<cstdio>
#include<vector>
using namespace std;

#define rep(i,f,t) for(int i = (f),_end = (t);  i <= _end; ++i)

const int maxn = 110;
int a[maxn][maxn];
int d[maxn][maxn];
int prev[maxn][maxn];
int main(){
	int f,v;
	scanf("%d%d",&f,&v);
	rep(i,1,f)rep(j,1,v){
		scanf("%d",&a[i][j]);	
	}
	int ansj = f;
	rep(i,1,f)rep(j,i,v-f+i){
		d[i][j] = -11111111;
		rep(k,i-1,j-1){
			if(d[i][j] < d[i-1][k]+a[i][j]){
				d[i][j] = d[i-1][k] + a[i][j];
				prev[i][j] = k;
			}
		}
		if(i == f){
			if(d[i][ansj] < d[i][j]){
				ansj = j;
			}
		}
	}
	vector<int> o;
	printf("%d\n",d[f][ansj]);
	for(int i = f; i > 0; --i){
		o.push_back(ansj);
		ansj = prev[i][ansj];
	}
	while(!o.empty()){
		printf("%d",o.back());
		o.pop_back();
		printf("%c",(o.empty() ? '\n' : ' '));
	}

	return 0;
}

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