Submission #392557

# Submission time Handle Problem Language Result Execution time Memory
392557 2021-04-21T10:28:32 Z anonymity Split the sequence (APIO14_sequence) C++17
100 / 100
1914 ms 83864 KB
#include <iostream>
#include <iomanip>
#include <string>
#include <vector>
#include <algorithm>
#include <sstream>
#include <queue>
#include <deque>
#include <bitset>
#include <iterator>
#include <list>
#include <stack>
#include <map>
#include <set>
#include <functional>
#include <numeric>
#include <utility>
#include <limits>
#include <cassert>
#include <time.h>
#include <math.h>
#include <stdio.h>
#include <string.h>
#include <stdlib.h>
#include <assert.h>
#include <unordered_map>
#include <chrono>
#define int long long
#define ii pair<int, int> 
#define fi first
#define se second
#define endl '\n'
#define mp make_pair
#define pb push_back
using namespace std;
int n, k, a[100005], pref[100005], l = 1, r, cur, now;
int f[100005][2];
int32_t trace[100005][205];
vector <int> part;
void dp(int u, int v, int x, int y) {
	if (u > v) return;
	int mid = (u + v) >> 1;
	for (int i = x; i <= min(y, mid - 1); i++) 
	{
		cur = (pref[i] - pref[mid]) * (pref[i] - pref[mid]);
		//cout << i << ' ' << cur << endl;
		if(f[i][(now + 1) % 2] + cur <= f[mid][now % 2])
			f[mid][now % 2] = f[i][(now + 1) % 2] + cur, trace[mid][now] = i;
	}
	dp(u, mid - 1, x, trace[mid][now]), dp(mid + 1, v, trace[mid][now], y);
}
signed main() {
	cin >> n >> k;
	k++;
	for (int i = 1; i <= n; i++)
		for (int j = 0; j < 2; j++)
			f[i][j] = 1e18;
	for(int i = 1; i <= n; i++) 
	{
		cin >> a[i];
		pref[i] = pref[i - 1] + a[i];
	}
	for (int i = 1; i <= n; i++) f[i][1] = pref[i] * pref[i];
	for (int i = 2; i <= k; i++) now = i, dp(1, n, 0, n - 1);
	cur = trace[n][k];
	for (int i = k - 1; i > 0; i--)
	{
		part.pb(cur);
		cur = trace[cur][i];
	}
	cout << (pref[n] * pref[n] - f[n][k % 2]) / 2 << endl;
	reverse(part.begin(), part.end());
	for (int i = 0; i < part.size(); i++)
		cout << part[i] << ' ';
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:73:20: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   73 |  for (int i = 0; i < part.size(); i++)
      |                  ~~^~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 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 204 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 204 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 332 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 1 ms 332 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 204 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 332 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 332 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 204 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 204 KB contestant found the optimal answer: 805 == 805
16 Correct 0 ms 204 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 204 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 1 ms 332 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 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 332 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 2 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 2 ms 460 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 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 1120 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 8 ms 1156 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 1100 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 9 ms 1100 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 8 ms 1100 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 9 ms 1152 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 7 ms 1164 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 3 ms 1100 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 1100 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 8 ms 8652 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 7 ms 8652 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 92 ms 8652 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 8 ms 8652 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 72 ms 8652 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 73 ms 8652 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 91 ms 8656 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 63 ms 8652 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 71 ms 8652 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 90 ms 8644 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 78 ms 83568 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 79 ms 83780 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 1770 ms 83788 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 89 ms 83788 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 1914 ms 83784 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 1302 ms 83780 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 1446 ms 83864 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 1130 ms 83784 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 1279 ms 83792 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 1605 ms 83788 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845