Submission #597502

# Submission time Handle Problem Language Result Execution time Memory
597502 2022-07-16T07:31:42 Z PoPularPlusPlus Let's Win the Election (JOI22_ho_t3) C++17
100 / 100
20 ms 3332 KB
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ull unsigned long long 
#define pb(e) push_back(e)
#define sv(a) sort(a.begin(),a.end())
#define sa(a,n) sort(a,a+n)
#define mp(a,b) make_pair(a,b)
#define vf first
#define vs second
#define ar array
#define all(x) x.begin(),x.end()
const int inf = 0x3f3f3f3f;
const int mod = 1000000007; 
const double PI=3.14159265358979323846264338327950288419716939937510582097494459230;
bool remender(ll a , ll b){return a%b;}

//freopen("problemname.in", "r", stdin);
//freopen("problemname.out", "w", stdout);

bool cmp(pair<int,int> a , pair<int,int> b){
	if(a.vs == -1)return 0;
	if(b.vs == -1)return 1;
	if(a.vs != b.vs)return a.vs < b.vs;
	return a.vf < b.vf;
}

const int N = 503;

int pre[N][N];
vector<pair<int,int>> v;
double dp[N][N];
int n , k;

double find(int x){
	if(x == 0)return pre[0][k-1];
	for(int i = 0; i <= n; i++){
		for(int j = 0; j <= n; j++)dp[i][j] = 1e9;
	}
	dp[0][0] = 0.0;
	double res = 1e9;
	for(int i = 1; i <= n; i++){
		for(int j = 0; j <= min(i,x); j++){
			if(v[i-1].vs == -1){
				goto h;
			}
			if(j == 0){
				dp[i][j] = dp[i-1][j] + (double)v[i-1].vf/(double)(x+1);
				continue;
			}
			if(j == x){
				int rem = k - i;
				res = min(res , dp[i-1][j-1] + (double)v[i-1].vs/(double)j + (rem > 0 ? (double)pre[i][rem-1]/(double)(x+1) : 0));
				dp[i][j] = dp[i-1][j] + (double)v[i-1].vf/(double)(x+1);
			}
			else {
				dp[i][j] = min(dp[i-1][j-1] + (double)v[i-1].vs/(double)j , dp[i-1][j] + (double)v[i-1].vf/(double)(x+1));
			}
		}
	}
	h:
	return res;
}

void solve(){
	cin >> n >> k;
	int cnt = 0;
	for(int i = 0; i < n; i++){
		int x , y;
		cin >> x >> y;
		v.pb(mp(x,y));
		if(y != -1)cnt++;
	}
	sort(all(v), cmp);
	vector<int> tp;
	for(int i = n - 1; i >= 0; i--){
		tp.pb(v[i].vf);
		sv(tp);
		int cur = 0 , sum = 0;
		for(int j = i; j < n; j++){
			sum += tp[cur];
			pre[i][cur] = sum;
			cur++;
		}
	}
	int l = 1 , r = min(k , cnt);
	if(cnt == 0){
		cout << pre[0][k-1] << '\n';
		return;
	}
	double ans = 1e9;
	while(l <= r){
		int mid = (l + r)/2;
		double x = find(mid) , y = find(mid - 1);
		ans = min(ans , min(x , y));
		//cout << mid << ' ' << x << ' ' << y << '\n';
		if(x > y){
			r = mid - 1;
		}
		else l = mid + 1;
	}
	cout << setprecision(10) << ans << '\n';
}

int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
	//int t;cin >> t;while(t--)
	solve();
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 336 KB Output is correct
5 Correct 4 ms 1236 KB Output is correct
6 Correct 4 ms 1236 KB Output is correct
7 Correct 3 ms 1236 KB Output is correct
8 Correct 3 ms 1236 KB Output is correct
9 Correct 7 ms 1316 KB Output is correct
10 Correct 2 ms 1236 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 336 KB Output is correct
5 Correct 4 ms 1236 KB Output is correct
6 Correct 4 ms 1236 KB Output is correct
7 Correct 3 ms 1236 KB Output is correct
8 Correct 3 ms 1236 KB Output is correct
9 Correct 7 ms 1316 KB Output is correct
10 Correct 2 ms 1236 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 20 ms 3172 KB Output is correct
13 Correct 7 ms 3284 KB Output is correct
14 Correct 6 ms 3296 KB Output is correct
15 Correct 14 ms 3292 KB Output is correct
16 Correct 9 ms 3296 KB Output is correct
17 Correct 7 ms 3284 KB Output is correct
18 Correct 16 ms 3284 KB Output is correct
19 Correct 10 ms 3284 KB Output is correct
20 Correct 8 ms 3284 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 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 336 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 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 336 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 360 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 344 KB Output is correct
36 Correct 0 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 0 ms 340 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 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 336 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 360 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 344 KB Output is correct
36 Correct 0 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 0 ms 340 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 852 KB Output is correct
42 Correct 1 ms 852 KB Output is correct
43 Correct 1 ms 880 KB Output is correct
44 Correct 1 ms 852 KB Output is correct
45 Correct 1 ms 852 KB Output is correct
46 Correct 1 ms 852 KB Output is correct
47 Correct 1 ms 852 KB Output is correct
48 Correct 1 ms 848 KB Output is correct
49 Correct 1 ms 852 KB Output is correct
50 Correct 1 ms 852 KB Output is correct
51 Correct 1 ms 852 KB Output is correct
52 Correct 1 ms 852 KB Output is correct
53 Correct 1 ms 852 KB Output is correct
54 Correct 1 ms 852 KB Output is correct
55 Correct 1 ms 852 KB Output is correct
56 Correct 1 ms 852 KB Output is correct
57 Correct 1 ms 852 KB Output is correct
58 Correct 1 ms 852 KB Output is correct
59 Correct 1 ms 848 KB Output is correct
60 Correct 1 ms 852 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 13 ms 3296 KB Output is correct
2 Correct 16 ms 3172 KB Output is correct
3 Correct 13 ms 3284 KB Output is correct
4 Correct 14 ms 3300 KB Output is correct
5 Correct 14 ms 3300 KB Output is correct
6 Correct 11 ms 3332 KB Output is correct
7 Correct 14 ms 3284 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 336 KB Output is correct
5 Correct 4 ms 1236 KB Output is correct
6 Correct 4 ms 1236 KB Output is correct
7 Correct 3 ms 1236 KB Output is correct
8 Correct 3 ms 1236 KB Output is correct
9 Correct 7 ms 1316 KB Output is correct
10 Correct 2 ms 1236 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 20 ms 3172 KB Output is correct
13 Correct 7 ms 3284 KB Output is correct
14 Correct 6 ms 3296 KB Output is correct
15 Correct 14 ms 3292 KB Output is correct
16 Correct 9 ms 3296 KB Output is correct
17 Correct 7 ms 3284 KB Output is correct
18 Correct 16 ms 3284 KB Output is correct
19 Correct 10 ms 3284 KB Output is correct
20 Correct 8 ms 3284 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 1 ms 332 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 0 ms 344 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 0 ms 344 KB Output is correct
34 Correct 0 ms 340 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 0 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 344 KB Output is correct
42 Correct 1 ms 336 KB Output is correct
43 Correct 1 ms 360 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 332 KB Output is correct
47 Correct 1 ms 340 KB Output is correct
48 Correct 1 ms 340 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 1 ms 340 KB Output is correct
51 Correct 1 ms 340 KB Output is correct
52 Correct 1 ms 340 KB Output is correct
53 Correct 1 ms 340 KB Output is correct
54 Correct 1 ms 340 KB Output is correct
55 Correct 1 ms 344 KB Output is correct
56 Correct 0 ms 340 KB Output is correct
57 Correct 1 ms 340 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 0 ms 340 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 1 ms 852 KB Output is correct
62 Correct 1 ms 852 KB Output is correct
63 Correct 1 ms 880 KB Output is correct
64 Correct 1 ms 852 KB Output is correct
65 Correct 1 ms 852 KB Output is correct
66 Correct 1 ms 852 KB Output is correct
67 Correct 1 ms 852 KB Output is correct
68 Correct 1 ms 848 KB Output is correct
69 Correct 1 ms 852 KB Output is correct
70 Correct 1 ms 852 KB Output is correct
71 Correct 1 ms 852 KB Output is correct
72 Correct 1 ms 852 KB Output is correct
73 Correct 1 ms 852 KB Output is correct
74 Correct 1 ms 852 KB Output is correct
75 Correct 1 ms 852 KB Output is correct
76 Correct 1 ms 852 KB Output is correct
77 Correct 1 ms 852 KB Output is correct
78 Correct 1 ms 852 KB Output is correct
79 Correct 1 ms 848 KB Output is correct
80 Correct 1 ms 852 KB Output is correct
81 Correct 13 ms 3296 KB Output is correct
82 Correct 16 ms 3172 KB Output is correct
83 Correct 13 ms 3284 KB Output is correct
84 Correct 14 ms 3300 KB Output is correct
85 Correct 14 ms 3300 KB Output is correct
86 Correct 11 ms 3332 KB Output is correct
87 Correct 14 ms 3284 KB Output is correct
88 Correct 6 ms 3284 KB Output is correct
89 Correct 7 ms 3296 KB Output is correct
90 Correct 7 ms 3280 KB Output is correct
91 Correct 11 ms 3280 KB Output is correct
92 Correct 8 ms 3284 KB Output is correct
93 Correct 11 ms 3284 KB Output is correct
94 Correct 13 ms 3220 KB Output is correct
95 Correct 16 ms 3304 KB Output is correct
96 Correct 13 ms 3236 KB Output is correct
97 Correct 14 ms 3304 KB Output is correct
98 Correct 8 ms 3284 KB Output is correct
99 Correct 6 ms 3284 KB Output is correct
100 Correct 10 ms 3300 KB Output is correct
101 Correct 12 ms 3284 KB Output is correct
102 Correct 12 ms 3208 KB Output is correct
103 Correct 13 ms 3284 KB Output is correct
104 Correct 11 ms 3284 KB Output is correct
105 Correct 5 ms 3284 KB Output is correct