Submission #936894

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
936894	2024-03-03T01:51:27 Z	william950615	Let's Win the Election (JOI22_ho_t3)	C++14	61 / 100	2500 ms	1372 KB

Main

#pragma GCC optimize("O2")
#include<bits/stdc++.h>
using namespace std;

#define F first
#define S second
#define mkp make_pair
#define PH push
#define PB push_back
#define REP(i,N) for( int i = 0; i < (N); ++i )
#define FOR(i,a,b) for( int i = (a); i <= (b); ++i )
#define ALL(x) begin(x), end(x)
#define MEM(x) memset(x, 0, sizeof(x))

typedef long long ll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
template<typename T>
using V=vector<T>;
#define double float

void solve() {
	int N, K; cin >> N >> K;
	V<pll> vc(N+1);
	const ll INF = 1e18;
	FOR(i,1,N) cin >> vc[i].F >> vc[i].S;
	for( auto &i : vc ) if( i.S == -1 ) i.S = INF;

	sort( vc.begin()+1, vc.end(), [&]( auto&a, auto&b) {
			return a.S < b.S;
		});
	
	//V<V<V<double>>> dp( 2, V<V<double>>( K+1, V<double>(K+1, 0) ));
	V<V<double>> dp(K+1,V<double>(K+1,0));
	//double dp[ N+1 ][ K+1 ][ K+1 ];

	auto init = [&]() {
		for( auto &i : dp ) for( auto &j : i )/* for( auto &k : j ) */
			j = INF;
		dp[ 1 ][ 0 ] = 0;
	};

	auto do_dp = [&](int p) {
		double ans=INF;
		init();
		for( int i = 1; i <= N; ++i ) {
			for( int j = p; j>=1; --j ) {
				for( int k = K; k >=1; --k ) {
					dp[ j ][ k ] = min({
						( j == 1 ? INF : dp[j-1][k-1]+(1.0f*vc[i].S/(j-1)) ), 
						dp[j][k-1] + (1.0f*vc[i].F/p),
						dp[j][k]
					});
				}
			}
		}
		//fprintf(stderr, "ans:(%.16lf), p(%d)\n", ans, p );
		ans = min( dp[p][K], ans );
		return ans;
	};

	int l = 1, r = K;
	double ans = INF;
	while( r-l > 4 ) {
		int l1 = (l+l+r)/3, l2 = (l+r+r)/3;
		double ans1 = do_dp(l1);
		double ans2 = do_dp(l2);
		ans = min( {ans,ans1,ans2} );
		if( ans1 > ans2 ) 
			l=l1;
		else
			r=l2;
	}
	for( int i = l; i<=r; ++i ) 
		ans = min( ans, do_dp(i));

	cout << fixed << setprecision(10);
	cout << ans << '\n';
}

int main() {
	int T = 1;
#ifdef LOCAL
	freopen( "input.txt", "r", stdin);
	freopen( "output.txt", "w", stdout );
	cin >> T;
#else
	ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#endif
	while(T--) solve();

}

Subtask #1
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	344 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	7 ms	476 KB	Output is correct
6	Correct	36 ms	348 KB	Output is correct
7	Correct	147 ms	600 KB	Output is correct
8	Correct	332 ms	1008 KB	Output is correct
9	Correct	566 ms	1368 KB	Output is correct
10	Correct	279 ms	944 KB	Output is correct

Subtask #2
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	344 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	7 ms	476 KB	Output is correct
6	Correct	36 ms	348 KB	Output is correct
7	Correct	147 ms	600 KB	Output is correct
8	Correct	332 ms	1008 KB	Output is correct
9	Correct	566 ms	1368 KB	Output is correct
10	Correct	279 ms	944 KB	Output is correct
11	Correct	1 ms	344 KB	Output is correct
12	Correct	389 ms	536 KB	Output is correct
13	Correct	252 ms	536 KB	Output is correct
14	Correct	143 ms	536 KB	Output is correct
15	Correct	2440 ms	944 KB	Output is correct
16	Correct	1559 ms	860 KB	Output is correct
17	Correct	681 ms	944 KB	Output is correct
18	Execution timed out	2554 ms	1372 KB	Time limit exceeded
19	Halted	0 ms	0 KB	-

Subtask #3
11.0 / 11.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	0 ms	344 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	1 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	0 ms	348 KB	Output is correct
11	Correct	0 ms	344 KB	Output is correct
12	Correct	0 ms	348 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	1 ms	344 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct

Subtask #4
12.0 / 12.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	0 ms	344 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	1 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	0 ms	348 KB	Output is correct
11	Correct	0 ms	344 KB	Output is correct
12	Correct	0 ms	348 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	1 ms	344 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct
17	Correct	0 ms	348 KB	Output is correct
18	Correct	1 ms	344 KB	Output is correct
19	Correct	0 ms	348 KB	Output is correct
20	Correct	0 ms	348 KB	Output is correct
21	Correct	0 ms	348 KB	Output is correct
22	Correct	0 ms	348 KB	Output is correct
23	Correct	1 ms	344 KB	Output is correct
24	Correct	1 ms	348 KB	Output is correct
25	Correct	1 ms	348 KB	Output is correct
26	Correct	0 ms	348 KB	Output is correct
27	Correct	1 ms	348 KB	Output is correct
28	Correct	0 ms	348 KB	Output is correct
29	Correct	1 ms	544 KB	Output is correct
30	Correct	0 ms	348 KB	Output is correct
31	Correct	0 ms	348 KB	Output is correct
32	Correct	1 ms	348 KB	Output is correct
33	Correct	0 ms	348 KB	Output is correct
34	Correct	0 ms	348 KB	Output is correct
35	Correct	0 ms	348 KB	Output is correct
36	Correct	0 ms	344 KB	Output is correct
37	Correct	0 ms	344 KB	Output is correct
38	Correct	0 ms	344 KB	Output is correct
39	Correct	1 ms	348 KB	Output is correct
40	Correct	0 ms	348 KB	Output is correct

Subtask #5
33.0 / 33.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	344 KB	Output is correct
2	Correct	0 ms	344 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	0 ms	348 KB	Output is correct
6	Correct	0 ms	348 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	1 ms	348 KB	Output is correct
9	Correct	0 ms	348 KB	Output is correct
10	Correct	0 ms	348 KB	Output is correct
11	Correct	0 ms	344 KB	Output is correct
12	Correct	0 ms	348 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	1 ms	344 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	348 KB	Output is correct
17	Correct	0 ms	348 KB	Output is correct
18	Correct	1 ms	344 KB	Output is correct
19	Correct	0 ms	348 KB	Output is correct
20	Correct	0 ms	348 KB	Output is correct
21	Correct	0 ms	348 KB	Output is correct
22	Correct	0 ms	348 KB	Output is correct
23	Correct	1 ms	344 KB	Output is correct
24	Correct	1 ms	348 KB	Output is correct
25	Correct	1 ms	348 KB	Output is correct
26	Correct	0 ms	348 KB	Output is correct
27	Correct	1 ms	348 KB	Output is correct
28	Correct	0 ms	348 KB	Output is correct
29	Correct	1 ms	544 KB	Output is correct
30	Correct	0 ms	348 KB	Output is correct
31	Correct	0 ms	348 KB	Output is correct
32	Correct	1 ms	348 KB	Output is correct
33	Correct	0 ms	348 KB	Output is correct
34	Correct	0 ms	348 KB	Output is correct
35	Correct	0 ms	348 KB	Output is correct
36	Correct	0 ms	344 KB	Output is correct
37	Correct	0 ms	344 KB	Output is correct
38	Correct	0 ms	344 KB	Output is correct
39	Correct	1 ms	348 KB	Output is correct
40	Correct	0 ms	348 KB	Output is correct
41	Correct	1 ms	348 KB	Output is correct
42	Correct	1 ms	348 KB	Output is correct
43	Correct	1 ms	348 KB	Output is correct
44	Correct	2 ms	344 KB	Output is correct
45	Correct	5 ms	600 KB	Output is correct
46	Correct	3 ms	348 KB	Output is correct
47	Correct	5 ms	348 KB	Output is correct
48	Correct	9 ms	468 KB	Output is correct
49	Correct	14 ms	480 KB	Output is correct
50	Correct	9 ms	480 KB	Output is correct
51	Correct	17 ms	348 KB	Output is correct
52	Correct	23 ms	344 KB	Output is correct
53	Correct	3 ms	348 KB	Output is correct
54	Correct	6 ms	348 KB	Output is correct
55	Correct	9 ms	476 KB	Output is correct
56	Correct	4 ms	344 KB	Output is correct
57	Correct	8 ms	348 KB	Output is correct
58	Correct	10 ms	344 KB	Output is correct
59	Correct	12 ms	348 KB	Output is correct
60	Correct	8 ms	468 KB	Output is correct

Subtask #6
0 / 11.0

#	Verdict	Execution time	Memory	Grader output
1	Execution timed out	2559 ms	1372 KB	Time limit exceeded
2	Halted	0 ms	0 KB	-

Subtask #7
0 / 23.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	344 KB	Output is correct
2	Correct	0 ms	348 KB	Output is correct
3	Correct	0 ms	348 KB	Output is correct
4	Correct	0 ms	348 KB	Output is correct
5	Correct	7 ms	476 KB	Output is correct
6	Correct	36 ms	348 KB	Output is correct
7	Correct	147 ms	600 KB	Output is correct
8	Correct	332 ms	1008 KB	Output is correct
9	Correct	566 ms	1368 KB	Output is correct
10	Correct	279 ms	944 KB	Output is correct
11	Correct	1 ms	344 KB	Output is correct
12	Correct	389 ms	536 KB	Output is correct
13	Correct	252 ms	536 KB	Output is correct
14	Correct	143 ms	536 KB	Output is correct
15	Correct	2440 ms	944 KB	Output is correct
16	Correct	1559 ms	860 KB	Output is correct
17	Correct	681 ms	944 KB	Output is correct
18	Execution timed out	2554 ms	1372 KB	Time limit exceeded
19	Halted	0 ms	0 KB	-

Submission #936894

Compilation message

Subtask #1 5.0 / 5.0

Subtask #2 0 / 5.0

Subtask #3 11.0 / 11.0

Subtask #4 12.0 / 12.0

Subtask #5 33.0 / 33.0

Subtask #6 0 / 11.0

Subtask #7 0 / 23.0

Subtask #1
5.0 / 5.0

Subtask #2
0 / 5.0

Subtask #3
11.0 / 11.0

Subtask #4
12.0 / 12.0

Subtask #5
33.0 / 33.0

Subtask #6
0 / 11.0

Subtask #7
0 / 23.0