Submission #231978

# Submission time Handle Problem Language Result Execution time Memory
231978 2020-05-15T14:34:54 Z Atalasion Split the sequence (APIO14_sequence) C++14
100 / 100
1834 ms 85432 KB
//khodaya khodet komak kon
#include <bits/stdc++.h>

#define F first
#define S second
#define pb push_back
#define all(x) x.begin(), x.end()
#pragma GCC optimise ("ofast")
#pragma GCC optimise("unroll-loops")
//#define int long long

using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;

const int N = 100000 + 10;
const ll MOD = 1000000000 + 7;
const ll INF = 1000000000000000000;
const ll LOG = 25;

int n, k, a[N], opt[N][210];
ll dp[N][2], ps[N];

ll cost (int l, int r){
	ll x = ps[r] - ps[l - 1];
	return x * x;
}

int solve(int l, int r, int lq, int rq, int x, int f){
	if (rq < lq) return 0;
	int md = (lq + rq) >> 1;
	for (int i = l; i < min(r + 1, md); i++){
		if (dp[md][f] > dp[i][f ^ 1] + cost(i + 1, md)){
			dp[md][f] = dp[i][f ^ 1] + cost(i + 1, md);
			opt[md][x] = i;
		}
	}	
	//cout << opt[md][x] << '\n';
	if (lq == rq) return 0;
	solve(l, opt[md][x], lq, md - 1, x,f);
	solve(opt[md][x], r, md + 1, rq, x,f);
}

int32_t main(){
	ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
	cin >> n >> k;
	for (int i = 1; i <= n; i++){
		cin >> a[i];
		ps[i] = ps[i - 1] + a[i];
	}
	if (k == 0) return cout << 0, 0;
	bool f = 0;
	for (int i = 1; i <= n; i++){
		dp[i][1] = ps[i] * ps[i];
	}
	for (int i = 2; i <= k + 1; i++){
		for (int j = 0; j < N; j++) dp[j][f] = INF;
		solve(1, n, i, n, i, f);
		f ^= 1;
	}
	cout << (ps[n] * 1ll * ps[n] - dp[n][f ^ 1]) / 2<< '\n';
	vector<int> ans;
	int Now = n;
	for (int i = k + 1; i >= 2; i--){
		ans.pb(opt[Now][i]);
		Now = opt[Now][i];
	}
	reverse(all(ans));
	for (auto u:ans) cout << u << ' ';







	return 0;
}
/*
7 3
4 1 3 4 0 2 3
*/

Compilation message

sequence.cpp:8:0: warning: ignoring #pragma GCC optimise [-Wunknown-pragmas]
 #pragma GCC optimise ("ofast")
 
sequence.cpp:9:0: warning: ignoring #pragma GCC optimise [-Wunknown-pragmas]
 #pragma GCC optimise("unroll-loops")
 
sequence.cpp: In function 'int solve(int, int, int, int, int, int)':
sequence.cpp:44:1: warning: control reaches end of non-void function [-Wreturn-type]
 }
 ^
# Verdict Execution time Memory Grader output
1 Correct 6 ms 1920 KB contestant found the optimal answer: 108 == 108
2 Correct 6 ms 1920 KB contestant found the optimal answer: 999 == 999
3 Correct 5 ms 1920 KB contestant found the optimal answer: 0 == 0
4 Correct 6 ms 1920 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 5 ms 1920 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 5 ms 1920 KB contestant found the optimal answer: 1 == 1
7 Correct 5 ms 1920 KB contestant found the optimal answer: 1 == 1
8 Correct 5 ms 1920 KB contestant found the optimal answer: 1 == 1
9 Correct 5 ms 1920 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 5 ms 1920 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 5 ms 1920 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 5 ms 1920 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 5 ms 1920 KB contestant found the optimal answer: 140072 == 140072
14 Correct 6 ms 1920 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 6 ms 1920 KB contestant found the optimal answer: 805 == 805
16 Correct 5 ms 1920 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 5 ms 1920 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 5 ms 1920 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 5 ms 1920 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 8 ms 1920 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 6 ms 1920 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 6 ms 1920 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 6 ms 1952 KB contestant found the optimal answer: 933702 == 933702
7 Correct 7 ms 1920 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 6 ms 1920 KB contestant found the optimal answer: 687136 == 687136
9 Correct 6 ms 1920 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 6 ms 1920 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 7 ms 2048 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 6 ms 2048 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 14 ms 2048 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 6 ms 2048 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 12 ms 2048 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 14 ms 2048 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 14 ms 2048 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 7 ms 2048 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 7 ms 2048 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 8 ms 2048 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 6 ms 2688 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 6 ms 2688 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 19 ms 2688 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 6 ms 2688 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 26 ms 2816 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 20 ms 2688 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 21 ms 2688 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 19 ms 2688 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 9 ms 2688 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 12 ms 2688 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 13 ms 10240 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 11 ms 10240 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 112 ms 10296 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 11 ms 10240 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 93 ms 10240 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 96 ms 10240 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 83 ms 10240 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 65 ms 10240 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 79 ms 10240 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 100 ms 10240 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 71 ms 85240 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 70 ms 85368 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1342 ms 85432 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 66 ms 85240 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1834 ms 85320 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 1149 ms 85368 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 1112 ms 85240 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 825 ms 85372 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 1033 ms 85240 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1305 ms 85372 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845