Submission #13457

# Submission time Handle Problem Language Result Execution time Memory
13457 2015-02-21T03:45:45 Z ainta Split the sequence (APIO14_sequence) C++
100 / 100
1823 ms 89064 KB
#include<stdio.h>
int n, k, w[101000], top;
int Path[210][101000];
long long S[101000], D[2][101000];
struct Stack{
	long long a, b;
	int pv;
}st[101000];
void Add(long long a, long long b, int pv){
	while (top > 1 && (double)(st[top - 1].b - b) / (a - st[top - 1].a) <= (double)(st[top - 1].b - st[top].b) / (st[top].a - st[top - 1].a))top--;
	if (top && st[top].a == a){
		if (st[top].b < b)st[top].b = b;
		return;
	}
	top++;
	st[top].a = a, st[top].b = b, st[top].pv = pv;
}
long long Gap(int t, long long x){
	return st[t].a*x + st[t].b;
}
long long Do(long long x){
	int be = 1, ed = top - 1, mid, r = top;
	while (be <= ed){
		mid = (be + ed) >> 1;
		if (Gap(mid, x) >= Gap(mid + 1, x)){
			r = mid;
			ed = mid - 1;
		}
		else{
			be = mid + 1;
		}
	}
	return r;
}
int Ans[210];
int main(){
	int i, j, t, pv = 0;
	scanf("%d%d", &n, &k);
	k++;
	for (i = 1; i <= n; i++){
		scanf("%d", &w[i]);
		S[i] = S[i - 1] + w[i];
	}
	for (i = 2; i <= k; i++){
		top = 0;
		pv = !pv;
		for (j = i; j <= n; j++){
			Add(S[j - 1], D[!pv][j - 1] - S[j - 1] * S[j - 1], j - 1);
			t = Do(S[j]);
			D[pv][j] = Gap(t, S[j]);
			Path[i][j] = st[t].pv;
		}
	}
	printf("%lld\n", D[pv][n]);
	t = n;
	for (i = k; i >= 2; i--){
		t = Path[i][t];
		Ans[i] = t;
	}
	for (i = 2; i <= k; i++)printf("%d ", Ans[i]);
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 108 == 108
2 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 999 == 999
3 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 0 == 0
4 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 1542524 == 1542524
5 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 1 == 1
7 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 1 == 1
8 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 1 == 1
9 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 100400096 == 100400096
10 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 900320000 == 900320000
11 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 140072 == 140072
14 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 376041456 == 376041456
15 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 805 == 805
16 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 900189994 == 900189994
17 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 1093956 == 1093956
2 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 302460000 == 302460000
3 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 89064 KB Output is correct - contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 687136 == 687136
9 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 610590000 == 610590000
2 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 311760000 == 311760000
3 Correct 4 ms 89064 KB Output is correct - contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 5 ms 89064 KB Output is correct - contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 4 ms 89064 KB Output is correct - contestant found the optimal answer: 107630884 == 107630884
7 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 193556962 == 193556962
9 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 89064 KB Output is correct - contestant found the optimal answer: 140412195 == 140412195
3 Correct 9 ms 89064 KB Output is correct - contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 0 ms 89064 KB Output is correct - contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 20 ms 89064 KB Output is correct - contestant found the optimal answer: 679388326 == 679388326
6 Correct 4 ms 89064 KB Output is correct - contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 14 ms 89064 KB Output is correct - contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 7 ms 89064 KB Output is correct - contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 89064 KB Output is correct - contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 3 ms 89064 KB Output is correct - contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 5 ms 89064 KB Output is correct - contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 5 ms 89064 KB Output is correct - contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 138 ms 89064 KB Output is correct - contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 5 ms 89064 KB Output is correct - contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 103 ms 89064 KB Output is correct - contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 122 ms 89064 KB Output is correct - contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 114 ms 89064 KB Output is correct - contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 108 ms 89064 KB Output is correct - contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 116 ms 89064 KB Output is correct - contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 145 ms 89064 KB Output is correct - contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 38 ms 89064 KB Output is correct - contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 43 ms 89064 KB Output is correct - contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1621 ms 89064 KB Output is correct - contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 33 ms 89064 KB Output is correct - contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1823 ms 89064 KB Output is correct - contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 1502 ms 89064 KB Output is correct - contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 1411 ms 89064 KB Output is correct - contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 1253 ms 89064 KB Output is correct - contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 1236 ms 89064 KB Output is correct - contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1579 ms 89064 KB Output is correct - contestant found the optimal answer: 124309619349406845 == 124309619349406845