답안 #199667

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
199667 2020-02-02T15:33:46 Z ArthurQ 수열 (APIO14_sequence) C++17
100 / 100
1972 ms 83172 KB
#include <iostream>
#include <vector>
#include <assert.h>

#define MAXN 100005
#define MAXK 205
 
using namespace std;
 
typedef long long int ll;
 
vector<ll> dpprev, dpnow;
 
int n, k, arr[MAXN], dprev[MAXN][MAXK], layer;
int s[MAXN];
 
void DCT(int a, int b, int op1, int op2) {
	if (a > b) return;
	int mid = (a + b) / 2;
	int theop = op1;
	for (int op = max(layer, op1); op <= min(mid-1, op2); op++) {
		ll rev = dpprev[op-1] + 1LL * s[op] * (1LL * (s[mid] - s[op]));
		if (dpnow[mid-1] < rev)
			theop = op,
			dpnow[mid-1] = rev,
			dprev[mid][layer] = theop;
	}
	DCT(a, mid-1, op1, theop), DCT(mid+1, b, theop, op2);	
}
 
int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	cin >> n >> k;
	for (int i = 1; i <= n; i++)
		cin >> arr[i];
	s[0] = 0;
	for (int i = 1; i <= n; i++)
		s[i] = s[i-1] + arr[i];
		
	for (int i = 1; i <= n; i++)
		dpprev.push_back(0),
		dpnow.push_back(-1);
	
	for (layer = 1; layer <= k; layer++) {
		for (int i = 1; i <= n; i++)
			dpnow[i-1] = -1;
		DCT(layer, n, 1, n);
		dpprev = dpnow;
	}
	
	cout << dpnow.back() << "\n";
	bool ap = 0;
	int cnt = 0;
	int x = n;
	layer--;
	while (dprev[x][layer]) {
		if (ap) cout << " ";
		cout << dprev[x][layer];
		ap = 1;
		x = dprev[x][layer];
		layer--;
		cnt++;
	}
	cout << "\n";
	assert(cnt == k);
}
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 376 KB contestant found the optimal answer: 108 == 108
2 Correct 5 ms 376 KB contestant found the optimal answer: 999 == 999
3 Correct 5 ms 376 KB contestant found the optimal answer: 0 == 0
4 Correct 5 ms 376 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 5 ms 376 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 5 ms 376 KB contestant found the optimal answer: 1 == 1
7 Correct 5 ms 376 KB contestant found the optimal answer: 1 == 1
8 Correct 5 ms 376 KB contestant found the optimal answer: 1 == 1
9 Correct 5 ms 380 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 5 ms 376 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 6 ms 376 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 5 ms 380 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 5 ms 376 KB contestant found the optimal answer: 140072 == 140072
14 Correct 5 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 5 ms 376 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 5 ms 376 KB contestant found the optimal answer: 999919994 == 999919994
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 504 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 5 ms 376 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 5 ms 376 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 5 ms 376 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 5 ms 380 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 5 ms 504 KB contestant found the optimal answer: 933702 == 933702
7 Correct 5 ms 376 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 5 ms 376 KB contestant found the optimal answer: 687136 == 687136
9 Correct 5 ms 376 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 5 ms 376 KB contestant found the optimal answer: 29000419931 == 29000419931
# 결과 실행 시간 메모리 Grader output
1 Correct 5 ms 504 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 5 ms 504 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 6 ms 508 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 5 ms 504 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 6 ms 504 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 7 ms 508 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 5 ms 504 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 5 ms 504 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 6 ms 504 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 6 ms 508 KB contestant found the optimal answer: 490686959791 == 490686959791
# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 1144 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 5 ms 1144 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 11 ms 1144 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 6 ms 1148 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 15 ms 1144 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 19 ms 1144 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 12 ms 1144 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 10 ms 1144 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 7 ms 1144 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 10 ms 1144 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# 결과 실행 시간 메모리 Grader output
1 Correct 14 ms 8696 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 11 ms 8696 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 82 ms 8696 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 12 ms 8696 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 98 ms 8824 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 92 ms 8824 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 82 ms 8824 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 60 ms 8696 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 86 ms 8696 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 103 ms 8828 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# 결과 실행 시간 메모리 Grader output
1 Correct 117 ms 83132 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 70 ms 83168 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1972 ms 83168 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 77 ms 83168 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1900 ms 83172 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 1496 ms 83168 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 1248 ms 83172 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 1236 ms 83172 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 1228 ms 83172 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1667 ms 83172 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845