Submission #63099

#TimeUsernameProblemLanguageResultExecution timeMemory
63099bazsi700Popeala (CEOI16_popeala)C++14
26 / 100
2093 ms223500 KiB
#include <bits/stdc++.h>
using namespace std;

#define MOD 1000000007
#define ll long long int
#define vi vector<int>
#define vii vector< vector<int> >
#define PI 3.1415926535897932384626433832795
#define INF 9223372036854775807LL

bool solved[51][20001];
int dp[20001][51];
int minval[20002][52][52];
int prefsum[20002];
int conssolved[51][20001]; //[x][y]=z means, the xth solved y-z+1,y-z+2,...,y tasks but not the y-z th

int main() {
	ios::sync_with_stdio(false);
	cin.tie(NULL);
	int n,t,s;
	cin >> n >> t >> s;
	vi p(t+1);
	for(int i = 1; i <= t; i++) {
		cin >> p[i];
		prefsum[i] = prefsum[i-1]+p[i];
	}
	for(int i = 1; i <= n; i++) {
		int lastnotsolv = 0;
		for(int j = 1; j <= t; j++) {
			char ch;
			cin >> ch;
			solved[i][j] = (ch == '1');
			if(!solved[i][j]) {
				lastnotsolv = j;
			}
			conssolved[i][j] = j-lastnotsolv;
		}
	}
	int sum = 0;
	for(int j = 0; j <= s; j++) {
		for(int i = 0; i <= t; i++) {
			for(int per = 0; per <= n; per++) {
				minval[i][j][per] = 2*MOD;
			}
		}
	}
	for(int i = 1; i <= t; i++) {
		sum+= p[i];
		int solv = 0;
		for(int j = 1; j <= n; j++) {
			if(conssolved[j][i] == i) {
				solv++;
			}
		}
		dp[i][1] = solv*sum;
		for(int pers = 0; pers <= n; pers++) {
			minval[i][2][pers] = min(minval[i-1][2][pers]+pers*p[i],dp[i][1]);
		}
		//cout << (dp[i][1] > MOD ? -1 : dp[i][1]) << " ";
	}
	//cout << endl;
	vector<int> solves (n);
	for(int j = 2; j <= s; j++) {
		for(int i = 1; i <= t; i++) {
			for(int st = 1; st <= n; st++) {
				solves[st-1] = (conssolved[st][i]);
			}
			sort(solves.begin(),solves.end());
			int ind = 0;
			sum = prefsum[i]-prefsum[i-1];
			dp[i][j] = minval[i-1][j][n-ind]+sum*(n-ind);
			for(int currsiz : solves) {
				currsiz++;
				if(currsiz > i-j+1) {
					break;
				}
				while(ind < n && solves[ind] < currsiz) {
					ind++;
				}
				sum = prefsum[i]-prefsum[i-currsiz];
				if(dp[i][j] == dp[i][j-1]) {
					break;
				}
				dp[i][j] = min(dp[i][j],minval[i-currsiz][j][n-ind]+sum*(n-ind));
			}
			for(int pers = 0; pers <= n; pers++) {
				minval[i][j+1][pers] = min(minval[i-1][j+1][pers]+pers*p[i],dp[i][j]);
			}
		}
	}
	for(int i = 1; i <= s; i++) {
		cout << dp[t][i] << "\n";
	}
	return 0;
}
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