Submission #238166

# Submission time Handle Problem Language Result Execution time Memory
238166 2020-06-10T05:41:37 Z super_j6 Split the sequence (APIO14_sequence) C++14
71 / 100
158 ms 131076 KB
#include <iostream>
#include <cstdio>
#include <algorithm>
using namespace std;
#define endl '\n'
#define ll long long
#define pi pair<ll, ll>
#define pii pair<pi, int>
#define f first
#define s second
 
const int maxn = 100001, maxk = 202;
int n, k;
int p[maxk][maxn];
pii l[maxk][maxn];
int s[maxk], e[maxk];
ll c;
int ans[maxn];
 
bool cp(pii x, pii y, pii z){
	return (x.f.f - z.f.f) * (y.f.s - x.f.s) >= (x.f.f - y.f.f) * (z.f.s - x.f.s);
}
 
ll f(ll x, ll y, ll z){
	return l[x][y].f.f * z + l[x][y].f.s;	
}
 
int main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	
	cin >> n >> k;
	k++;
	
	l[0][0] = {{0, 0}, -1};
	for(int i = 1; i <= k; i++) l[i][0] = {{0, 0x3f3f3f3f}, -1};
	for(int i = 0; i < n; i++){
		ll x;
		cin >> x;
		c += x;
		for(int j = k; j; j--){
			while(e[j - 1] - s[j - 1] > 1 && f(j - 1, s[j - 1], c) >= f(j - 1, s[j - 1] + 1, c)) s[j - 1]++;
			p[j][i] = l[j - 1][s[j - 1]].s;
			pii x = {{-2 * c, 2 * c * c + f(j - 1, s[j - 1], c)}, i};
			while(e[j] - s[j] > 1 && cp(l[j][e[j] - 2], l[j][e[j] - 1], x)) e[j]--;
			l[j][e[j]++] = x;
		}
	}
	
	for(int i = k - 2, j = p[k][n - 1]; ~i; j = p[i-- + 1][j]) ans[i] = j + 1;
	
	cout << ((2 * c * c - l[k][e[k] - 1].f.s) / 2) << endl;
	cout << ans[0];
	for(int i = 1; i < k - 1; i++) cout << " " << ans[i];
	cout << endl;
 
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 4 ms 384 KB contestant found the optimal answer: 108 == 108
2 Correct 5 ms 384 KB contestant found the optimal answer: 999 == 999
3 Correct 5 ms 384 KB contestant found the optimal answer: 0 == 0
4 Correct 4 ms 384 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 5 ms 512 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 5 ms 384 KB contestant found the optimal answer: 1 == 1
7 Correct 5 ms 384 KB contestant found the optimal answer: 1 == 1
8 Correct 4 ms 384 KB contestant found the optimal answer: 1 == 1
9 Correct 5 ms 384 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 5 ms 384 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 4 ms 384 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 4 ms 384 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 5 ms 384 KB contestant found the optimal answer: 140072 == 140072
14 Correct 4 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 5 ms 384 KB contestant found the optimal answer: 805 == 805
16 Correct 5 ms 384 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 5 ms 384 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 5 ms 384 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 5 ms 1024 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 5 ms 384 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 5 ms 512 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 5 ms 512 KB contestant found the optimal answer: 933702 == 933702
7 Correct 5 ms 768 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 5 ms 512 KB contestant found the optimal answer: 687136 == 687136
9 Correct 5 ms 512 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 5 ms 512 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 5 ms 384 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 7 ms 3968 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 5 ms 384 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 6 ms 2816 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 6 ms 3584 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 7 ms 3968 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 5 ms 1152 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 5 ms 896 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 5 ms 1408 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 5 ms 512 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 5 ms 512 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 11 ms 8448 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 5 ms 512 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 13 ms 7296 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 10 ms 6016 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 12 ms 8192 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 11 ms 8320 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 7 ms 1920 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 7 ms 3328 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 6 ms 1280 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 6 ms 1152 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 69 ms 57976 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 7 ms 1536 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 45 ms 28152 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 42 ms 24056 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 58 ms 41848 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 47 ms 33912 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 50 ms 37116 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 65 ms 47480 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 22 ms 9344 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 21 ms 9088 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Runtime error 158 ms 131076 KB Execution killed with signal 9 (could be triggered by violating memory limits)
4 Halted 0 ms 0 KB -