Submission #166135

# Submission time Handle Problem Language Result Execution time Memory
166135 2019-11-30T22:00:55 Z ZwariowanyMarcin Split the sequence (APIO14_sequence) C++14
100 / 100
1486 ms 81808 KB
#include <bits/stdc++.h>
#define ll long long
#define mp make_pair
#define pb push_back
#define ld long double
#define ss(x) (int) x.size()
#define FOR(i, n) for(int i = 1; i <= n; ++i)
#define fi first
#define se second
#define cat(x) cout << #x << " = " << x << endl

using namespace std;

const int nax = 1e5 + 111;
const long long inf = 1e18;

int n, k;
int a[nax];
ll dp[nax][2];
int opt[nax][202];
int pref[nax];

int ja, on, K;

void solve(int l, int r, int optl, int optr) {
	if(l > r) return;
	int m = (l + r) / 2;
	opt[m][K] = 1;
	for(int i = optl; i <= min(m, optr); ++i) {
		ll w = dp[i - 1][on] + 1ll * (pref[m] - pref[i - 1]) * (pref[m] - pref[i - 1]);
		if(w <= dp[m][ja]) {
			opt[m][K] = i;
			dp[m][ja] = w;
		}
	}
	solve(l, m - 1, optl, opt[m][K]);
	solve(m + 1, r, opt[m][K], optr);
}
 
int main() {
	scanf("%d %d", &n, &k);
	k += 1;
	for(int i = 1; i <= n; ++i) {
		scanf("%d", a + i);
		pref[i] = pref[i - 1] + a[i];
	}
	
	for(int i = 1; i <= n; ++i)
		dp[i][0] = inf;
		
	for(int i = 1; i <= k; ++i) {
		K = i;
		ja = i & 1;
		on = !ja;
		
		for(int j = 0; j <= n; ++j) 
			dp[j][ja] = inf;
		
		solve(1, n, 1, n);
	}
	
	ll kwa = 1ll * pref[n] * pref[n];
	printf("%lld\n", (kwa - dp[n][k & 1]) / 2);
	
	vector <int> v;
	int ind = n;
	while(k > 1) {
		v.pb(opt[ind][k]);
		ind = opt[ind][k] - 1;
		k -= 1;
	}
	
	reverse(v.begin(), v.end());
	
	for(auto it : v)
		printf("%d ", it - 1);
	
		
	
	
	
	return 0;
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:41:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d %d", &n, &k);
  ~~~~~^~~~~~~~~~~~~~~~~
sequence.cpp:44:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d", a + i);
   ~~~~~^~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 108 == 108
2 Correct 2 ms 376 KB contestant found the optimal answer: 999 == 999
3 Correct 2 ms 376 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 376 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 376 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 376 KB contestant found the optimal answer: 1 == 1
7 Correct 2 ms 376 KB contestant found the optimal answer: 1 == 1
8 Correct 2 ms 376 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 376 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 376 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 376 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 376 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 376 KB contestant found the optimal answer: 140072 == 140072
14 Correct 2 ms 376 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 2 ms 376 KB contestant found the optimal answer: 805 == 805
16 Correct 2 ms 376 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 376 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 376 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 2 ms 376 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 376 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 376 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 376 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 376 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 376 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 376 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 376 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 504 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 476 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 3 ms 504 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 504 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 3 ms 504 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 3 ms 504 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 3 ms 504 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 504 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 504 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 504 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 3 ms 1144 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 3 ms 1144 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 9 ms 1144 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 3 ms 1144 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 10 ms 1144 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 8 ms 1140 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 10 ms 1144 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 8 ms 1144 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 4 ms 1144 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 6 ms 1144 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 11 ms 8440 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 10 ms 8440 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 86 ms 8520 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 11 ms 8444 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 70 ms 8440 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 70 ms 8440 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 84 ms 8440 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 62 ms 8440 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 68 ms 8524 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 85 ms 8540 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 95 ms 81656 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 100 ms 81756 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1337 ms 81808 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 99 ms 81656 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1486 ms 81784 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 880 ms 81784 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 1176 ms 81780 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 808 ms 81808 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 932 ms 81756 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1004 ms 81784 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845