Submission #624572

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
624572	2022-08-08T13:35:23 Z	QwertyPi	Let's Win the Election (JOI22_ho_t3)	C++14	56 / 100	343 ms	18828 KB

Main

#include <bits/stdc++.h>
#define int long long
#define inf (1 << 30)
#define ld long double
using namespace std;
 
const int N = 113;
int a[N], b[N], s[N];
int id_x[N], id_y[N];
int vid_x[N], vid_y[N]; 
 
struct Pair{
	int a, b, id;
	Pair() = default;
	Pair(int _a, int _b, int _i) : a(_a), b(_b), id(_i){}; 
};
 
vector<Pair> vp;
long double dp[N][N][N];
int cnt[N][N];

int n, K;
	
long double f(int l){
	for(int i = 0; i < n; i++){
		s[i + 1] = s[i] + a[id_x[i]];
	}
	long double ans = inf;
	for(int i = 0; i <= n; i++){
		for(int j = 0; j <= n; j++){
			for(int k = 0; k <= n; k++){
				dp[i][j][k] = inf;
			}
		}
	}
	dp[0][0][0] = 0; 
	for(int i = 0; i <= n; i++){
		for(int j = 0; j <= n; j++){
			for(int k = 0; k <= n; k++){
				if(i > 0){
					if(vid_y[id_x[i - 1]] < j){
						dp[i][j][k] = min(dp[i][j][k], dp[i - 1][j][k] - (ld) a[id_x[i - 1]] / (l + 1));
					}else{
						dp[i][j][k] = min(dp[i][j][k], dp[i - 1][j][k]);
					}
				}
				if(j > 0){
					if(vid_x[id_y[j - 1]] < i){
						dp[i][j][k] = min(dp[i][j][k], dp[i][j - 1][k]);
					}else{
						if(k > 0 && b[id_y[j - 1]] != inf){
							dp[i][j][k] = min(dp[i][j][k], dp[i][j - 1][k - 1] + (ld) b[id_y[j - 1]] / k);
						}
					}
				}
			}
			if(i + j - cnt[i][j] == K){
				ans = min(ans, dp[i][j][l] + (ld) s[i] / (l + 1));
			}
		}
	}
	return ans;
}

int32_t main(){
	cin >> n >> K;
	for(int i = 0; i < n; i++){
		cin >> a[i] >> b[i];
		b[i] = (b[i] == -1) ? inf : b[i];
		vp.push_back({a[i], b[i], i});
	}
 
	sort(vp.begin(), vp.end(), [](Pair x, Pair y){
		return x.a < y.a || x.a == y.a && x.b < y.b;
	});
	
	for(int i = 0; i < n; i++){
		id_x[i] = vp[i].id;
		vid_x[vp[i].id] = i;
	}
 
	sort(vp.begin(), vp.end(), [](Pair x, Pair y){
		return x.b < y.b || x.b == y.b && x.a < y.a;
	});
	
	for(int i = 0; i < n; i++){
		id_y[i] = vp[i].id;
		vid_y[vp[i].id] = i;
	}
	
	/*
	for(int i = 0; i < n; i++){
		cout << vid_x[i] << ' ' << vid_y[i] << ' ' << id_x[i] << ' ' << id_y[i] << endl;
	}
	*/
	
	for(int i = 0; i < n; i++){
		cnt[vid_x[i] + 1][vid_y[i] + 1] = 1;
	}
	
	/*
	for(int i = 0; i <= n; i++){
		for(int j = 0; j <= n; j++){
			cout << cnt[i][j] << ' ';
		}
		cout << endl;
	}
	cout << endl;
	*/
	
	for(int i = 1; i <= n; i++){
		for(int j = 1; j <= n; j++){
			cnt[i][j] = cnt[i - 1][j] + cnt[i][j - 1] + cnt[i][j] - cnt[i - 1][j - 1];
		}
	}
	
	int lb = 0, rb = K;
	while(rb - lb > 2){
		int m = (rb + lb) / 2;
		ld f1 = f(m), f2 = f(m + 1);
		if(f1 > f2){
			lb = m;
		}else{
			rb = m + 1;
		}
	}
	ld ans = min(min(f(lb), f((rb + lb) / 2)), f(rb));
	
	cout << fixed << setprecision(15) << ans << endl;
}

Compilation message

Main.cpp: In lambda function:
Main.cpp:74:34: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
   74 |   return x.a < y.a || x.a == y.a && x.b < y.b;
      |                       ~~~~~~~~~~~^~~~~~~~~~~~
Main.cpp: In lambda function:
Main.cpp:83:34: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
   83 |   return x.b < y.b || x.b == y.b && x.a < y.a;
      |                       ~~~~~~~~~~~^~~~~~~~~~~~

Subtask #1
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	212 KB	Output is correct
2	Correct	0 ms	340 KB	Output is correct
3	Correct	1 ms	340 KB	Output is correct
4	Correct	0 ms	340 KB	Output is correct
5	Runtime error	1 ms	400 KB	Execution killed with signal 11
6	Halted	0 ms	0 KB	-

Subtask #2
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	212 KB	Output is correct
2	Correct	0 ms	340 KB	Output is correct
3	Correct	1 ms	340 KB	Output is correct
4	Correct	0 ms	340 KB	Output is correct
5	Runtime error	1 ms	400 KB	Execution killed with signal 11
6	Halted	0 ms	0 KB	-

Subtask #3
11.0 / 11.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	340 KB	Output is correct
2	Correct	0 ms	340 KB	Output is correct
3	Correct	1 ms	340 KB	Output is correct
4	Correct	1 ms	340 KB	Output is correct
5	Correct	1 ms	340 KB	Output is correct
6	Correct	1 ms	340 KB	Output is correct
7	Correct	1 ms	340 KB	Output is correct
8	Correct	1 ms	340 KB	Output is correct
9	Correct	1 ms	340 KB	Output is correct
10	Correct	1 ms	340 KB	Output is correct
11	Correct	1 ms	340 KB	Output is correct
12	Correct	1 ms	340 KB	Output is correct
13	Correct	1 ms	340 KB	Output is correct
14	Correct	0 ms	340 KB	Output is correct
15	Correct	0 ms	340 KB	Output is correct

Subtask #4
12.0 / 12.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	340 KB	Output is correct
2	Correct	0 ms	340 KB	Output is correct
3	Correct	1 ms	340 KB	Output is correct
4	Correct	1 ms	340 KB	Output is correct
5	Correct	1 ms	340 KB	Output is correct
6	Correct	1 ms	340 KB	Output is correct
7	Correct	1 ms	340 KB	Output is correct
8	Correct	1 ms	340 KB	Output is correct
9	Correct	1 ms	340 KB	Output is correct
10	Correct	1 ms	340 KB	Output is correct
11	Correct	1 ms	340 KB	Output is correct
12	Correct	1 ms	340 KB	Output is correct
13	Correct	1 ms	340 KB	Output is correct
14	Correct	0 ms	340 KB	Output is correct
15	Correct	0 ms	340 KB	Output is correct
16	Correct	2 ms	1108 KB	Output is correct
17	Correct	2 ms	1108 KB	Output is correct
18	Correct	2 ms	1108 KB	Output is correct
19	Correct	2 ms	1108 KB	Output is correct
20	Correct	2 ms	1108 KB	Output is correct
21	Correct	2 ms	1108 KB	Output is correct
22	Correct	2 ms	1108 KB	Output is correct
23	Correct	3 ms	1108 KB	Output is correct
24	Correct	3 ms	1108 KB	Output is correct
25	Correct	3 ms	1108 KB	Output is correct
26	Correct	3 ms	1108 KB	Output is correct
27	Correct	3 ms	1108 KB	Output is correct
28	Correct	3 ms	1108 KB	Output is correct
29	Correct	3 ms	1108 KB	Output is correct
30	Correct	3 ms	1048 KB	Output is correct
31	Correct	3 ms	1108 KB	Output is correct
32	Correct	3 ms	1108 KB	Output is correct
33	Correct	3 ms	1108 KB	Output is correct
34	Correct	3 ms	1108 KB	Output is correct
35	Correct	3 ms	1172 KB	Output is correct
36	Correct	3 ms	1108 KB	Output is correct
37	Correct	3 ms	1108 KB	Output is correct
38	Correct	3 ms	1108 KB	Output is correct
39	Correct	4 ms	1108 KB	Output is correct
40	Correct	3 ms	1108 KB	Output is correct

Subtask #5
33.0 / 33.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	340 KB	Output is correct
2	Correct	0 ms	340 KB	Output is correct
3	Correct	1 ms	340 KB	Output is correct
4	Correct	1 ms	340 KB	Output is correct
5	Correct	1 ms	340 KB	Output is correct
6	Correct	1 ms	340 KB	Output is correct
7	Correct	1 ms	340 KB	Output is correct
8	Correct	1 ms	340 KB	Output is correct
9	Correct	1 ms	340 KB	Output is correct
10	Correct	1 ms	340 KB	Output is correct
11	Correct	1 ms	340 KB	Output is correct
12	Correct	1 ms	340 KB	Output is correct
13	Correct	1 ms	340 KB	Output is correct
14	Correct	0 ms	340 KB	Output is correct
15	Correct	0 ms	340 KB	Output is correct
16	Correct	2 ms	1108 KB	Output is correct
17	Correct	2 ms	1108 KB	Output is correct
18	Correct	2 ms	1108 KB	Output is correct
19	Correct	2 ms	1108 KB	Output is correct
20	Correct	2 ms	1108 KB	Output is correct
21	Correct	2 ms	1108 KB	Output is correct
22	Correct	2 ms	1108 KB	Output is correct
23	Correct	3 ms	1108 KB	Output is correct
24	Correct	3 ms	1108 KB	Output is correct
25	Correct	3 ms	1108 KB	Output is correct
26	Correct	3 ms	1108 KB	Output is correct
27	Correct	3 ms	1108 KB	Output is correct
28	Correct	3 ms	1108 KB	Output is correct
29	Correct	3 ms	1108 KB	Output is correct
30	Correct	3 ms	1048 KB	Output is correct
31	Correct	3 ms	1108 KB	Output is correct
32	Correct	3 ms	1108 KB	Output is correct
33	Correct	3 ms	1108 KB	Output is correct
34	Correct	3 ms	1108 KB	Output is correct
35	Correct	3 ms	1172 KB	Output is correct
36	Correct	3 ms	1108 KB	Output is correct
37	Correct	3 ms	1108 KB	Output is correct
38	Correct	3 ms	1108 KB	Output is correct
39	Correct	4 ms	1108 KB	Output is correct
40	Correct	3 ms	1108 KB	Output is correct
41	Correct	212 ms	18772 KB	Output is correct
42	Correct	222 ms	18828 KB	Output is correct
43	Correct	248 ms	18820 KB	Output is correct
44	Correct	242 ms	18820 KB	Output is correct
45	Correct	282 ms	18820 KB	Output is correct
46	Correct	292 ms	18820 KB	Output is correct
47	Correct	287 ms	18772 KB	Output is correct
48	Correct	305 ms	18824 KB	Output is correct
49	Correct	301 ms	18820 KB	Output is correct
50	Correct	317 ms	18824 KB	Output is correct
51	Correct	343 ms	18824 KB	Output is correct
52	Correct	340 ms	18828 KB	Output is correct
53	Correct	295 ms	18820 KB	Output is correct
54	Correct	287 ms	18820 KB	Output is correct
55	Correct	317 ms	18816 KB	Output is correct
56	Correct	286 ms	18828 KB	Output is correct
57	Correct	305 ms	18820 KB	Output is correct
58	Correct	301 ms	18824 KB	Output is correct
59	Correct	342 ms	18828 KB	Output is correct
60	Correct	291 ms	18824 KB	Output is correct

Subtask #6
0 / 11.0

#	Verdict	Execution time	Memory	Grader output
1	Runtime error	1 ms	468 KB	Execution killed with signal 11
2	Halted	0 ms	0 KB	-

Subtask #7
0 / 23.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	212 KB	Output is correct
2	Correct	0 ms	340 KB	Output is correct
3	Correct	1 ms	340 KB	Output is correct
4	Correct	0 ms	340 KB	Output is correct
5	Runtime error	1 ms	400 KB	Execution killed with signal 11
6	Halted	0 ms	0 KB	-

Submission #624572

Compilation message

Subtask #1 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
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