Submission #474589

# Submission time Handle Problem Language Result Execution time Memory
474589 2021-09-19T07:29:25 Z pure_mem Split the sequence (APIO14_sequence) C++14
100 / 100
695 ms 83512 KB
#include <bits/stdc++.h>

#define X first
#define Y second
#define ll long long
#define MP make_pair

using namespace std;

const int N = 1e5 + 123;
const ll INF = 1e18;
typedef pair<ll, ll> Line;

ll f(Line me, ll x) {
	return me.X * x + me.Y;
}

Line cf[N];

int n, k, his[N][202], CHT[N];
ll s[N], dp[N];

bool bad(int x, int y, int z) {
	return (cf[x].Y - cf[y].Y) * 1.0 / (cf[y].X - cf[x].X) >= (cf[x].Y - cf[z].Y) * 1.0 / (cf[z].X - cf[x].X);
}

void solve(int st) {
	CHT[1] = st - 1;
	cf[st - 1] = {s[st - 1], dp[st - 1] - s[st - 1] * s[st - 1]};	
	for(int i = st, l = 1, r = 1;i <= n;i++) {
		while(l < r && f(cf[CHT[l]], s[i]) <= f(cf[CHT[l + 1]], s[i]))
			l++;
		cf[i] = {s[i], dp[i] - s[i] * s[i]};
		dp[i] = f(cf[CHT[l]], s[i]), his[i][st] = CHT[l];
		while(l < r && bad(CHT[r - 1], CHT[r], i))
			r--;
		CHT[++r] = i;
	}
}

int main () {
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	
	cin >> n >> k;
	for(int i = 1;i <= n;i++)
		cin >> s[i], s[i] += s[i - 1];
	k += 1;
	for(int i = 2;i <= k;i++) {
		solve(i);
	}
	cout << dp[n] << "\n";
	int pos = n;
	for(int i = k;i >= 2;i--) {
		pos = his[pos][i];
		cout << pos << " ";
	}
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 332 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 332 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 332 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 332 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 332 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 256 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 332 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 332 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 332 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 332 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 332 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 320 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 332 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 332 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 332 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 332 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 332 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 332 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 332 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 332 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 332 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 332 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 332 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 388 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 332 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 460 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 460 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 1 ms 460 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 460 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 460 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 1 ms 460 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 1 ms 460 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 460 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 1 ms 460 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 460 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 1100 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 1100 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 5 ms 1100 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 1100 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 6 ms 1100 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 5 ms 1100 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 6 ms 1100 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 4 ms 1100 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 1100 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 3 ms 1100 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 7 ms 8524 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 5 ms 8524 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 50 ms 8524 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 6 ms 8640 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 42 ms 8592 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 45 ms 8524 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 47 ms 8628 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 33 ms 8636 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 39 ms 8524 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 50 ms 8616 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 48 ms 82848 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 58 ms 83008 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 564 ms 83512 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 51 ms 83268 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 695 ms 83004 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 480 ms 82944 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 512 ms 83396 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 372 ms 83256 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 441 ms 83268 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 563 ms 83200 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845