Submission #377913

# Submission time Handle Problem Language Result Execution time Memory
377913 2021-03-15T14:00:40 Z ritul_kr_singh Split the sequence (APIO14_sequence) C++17
100 / 100
1872 ms 94724 KB
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define sp << ' ' <<
#define nl << '\n'
 
deque<array<int, 3>> hull[200+1];
 
int f(int x, int i, int j){
	if(j<0) j += hull[i].size();
	return hull[i][j][0]*x + hull[i][j][1] - x*x;
}
 
bool bad(int m, int c, int i){
	int x1 = c-hull[i][0][1];
	int d1 = hull[i][0][0]-m;
	if(d1<0) d1 *= -1LL, x1 *= -1LL;
 
	c = hull[i][1][1], m = hull[i][1][0];
 
	int x2 = c-hull[i][0][1];
	int d2 = hull[i][0][0]-m;
	if(d2<0) d2 *= -1LL, x2 *= -1LL;
 
	return x1*d2 >= x2*d1;
}
 
signed main(){
    ios_base::sync_with_stdio(false); cin.tie(nullptr);
    int n, k; cin >> n >> k;
    int a[n], ans = 0, ind = 0;
    for(int &i : a) cin >> i;
    for(int i=n-2; i>=0; --i) a[i] += a[i+1];
 
	hull[0].push_back({a[0], 0});
	int32_t p[n][k];
 
	for(int i=1; i<n; ++i){
		for(int j=k-1; j>=0; --j){
			if(hull[j].empty()) continue;
			while(hull[j].size()>1 and f(a[i], j, -2) >= f(a[i], j, -1)) hull[j].pop_back();
			int dp = f(a[i], j, -1);
			p[i][j] = hull[j].back()[2];
 
			int m = a[i];
 
			while(!hull[j+1].empty()){
				if(hull[j+1][0][0]==m){
					dp = max(dp, hull[j+1][0][1]);
					hull[j+1].pop_front();
				}else if(hull[j+1].size() > 1 and bad(m, dp, j+1)){
					hull[j+1].pop_front();
				}else break;
			}
			hull[j+1].push_front({m, dp, i});
			if(dp >= ans){
				ans = dp;
				ind = i;
			}
		}
	}
	// for(auto i : hull[1]) cout << i[2] nl;
	vector<int> res = {ind};
	for(int j=k-1; j>=0; --j){
		res.push_back(p[ind][j]);
		ind = res.back();
	}
	cout << ans nl;
	for(int i=res.size()-2; i>=0; --i) cout << res[i] << ' ';
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 492 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 492 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 492 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 492 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 492 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 492 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 492 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 492 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 492 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 492 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 492 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 620 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 492 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 512 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 492 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 504 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 512 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 492 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 492 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 492 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 1 ms 492 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 492 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 492 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 492 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 492 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 492 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 492 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 492 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 492 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 620 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 492 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 2 ms 620 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 620 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 620 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 492 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 492 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 492 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 492 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 492 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 13 ms 1388 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 492 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 12 ms 1388 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 11 ms 1280 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 14 ms 1388 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 12 ms 1644 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 4 ms 748 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 9 ms 896 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 5 ms 1132 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 1132 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 164 ms 10092 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 1132 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 97 ms 6624 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 105 ms 6892 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 137 ms 7852 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 109 ms 6912 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 137 ms 7276 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 150 ms 8940 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 27 ms 5868 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 28 ms 6252 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1872 ms 94724 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 30 ms 7404 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1822 ms 92776 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 1244 ms 64620 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 1549 ms 73820 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 1176 ms 61932 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 1287 ms 68972 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1719 ms 84844 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845