Submission #48014

# Submission time Handle Problem Language Result Execution time Memory
48014 2018-05-09T11:47:41 Z square1001 Split the sequence (APIO14_sequence) C++14
100 / 100
595 ms 83544 KB
#include <vector>
#include <iostream>
#include <algorithm>
using namespace std;
const long long inf = 1LL << 60;
int n, m, c, s[100009], sp[100009], ss[100009], d[100009], p[209][100009]; long long dp[100009], ndp[100009];
bool comp(long long xa, long long xb, long long ya, long long yb) {
	// judge if xa * xb >= ya * yb
	int xa1 = xa >> 31, xa0 = xa & ((1 << 31) - 1);
	int xb1 = xb >> 31, xb0 = xb & ((1 << 31) - 1);
	int ya1 = ya >> 31, ya0 = ya & ((1 << 31) - 1);
	int yb1 = yb >> 31, yb0 = yb & ((1 << 31) - 1);
	long long xc3 = 0;
	long long xc2 = 1LL * xa1 * xb1;
	long long xc1 = 1LL * xa1 * xb0 + 1LL * xa0 * xb1;
	long long xc0 = 1LL * xa0 * xb0;
	long long yc3 = 0;
	long long yc2 = 1LL * ya1 * yb1;
	long long yc1 = 1LL * ya1 * yb0 + 1LL * ya0 * yb1;
	long long yc0 = 1LL * ya0 * yb0;
	xc1 += xc0 >> 31; xc0 &= ((1 << 31) - 1);
	xc2 += xc1 >> 31; xc1 &= ((1 << 31) - 1);
	xc3 += xc2 >> 31; xc2 &= ((1 << 31) - 1);
	yc1 += yc0 >> 31; yc0 &= ((1 << 31) - 1);
	yc2 += yc1 >> 31; yc1 &= ((1 << 31) - 1);
	yc3 += yc2 >> 31; yc2 &= ((1 << 31) - 1);
	if (xc3 != yc3) return xc3 > yc3;
	if (xc2 != yc2) return xc2 > yc2;
	if (xc1 != yc1) return xc1 > yc1;
	return xc0 >= yc0;
}
int main() {
	cin.tie(0);
	ios_base::sync_with_stdio(false);
	cin >> n >> m;
	for (int i = 0; i < n; ++i) {
		cin >> ss[i + 1];
		ss[i + 1] += ss[i];
	}
	int rn = 0;
	for (int i = 0; i < n; i++) {
		if (ss[i + 1] != ss[i]) {
			s[++rn] = ss[i + 1];
			sp[rn] = i + 1;
		}
	}
	fill(dp + 1, dp + n + 1, inf);
	for (int i = 0; i <= m && i < rn; ++i) {
		c = 0;
		for (int j = 0; j <= rn; ++j) {
			while (c >= 2 && comp(s[j] - s[d[c - 1]], dp[d[c - 1]] - dp[d[c - 2]], s[d[c - 1]] - s[d[c - 2]], dp[j] - dp[d[c - 1]])) {
				c--;
			}
			d[c++] = j;
		}
		int ptr = 0;
		for (int j = 0; j <= rn; ++j) {
			while (ptr + 1 != c && d[ptr + 1] < j && dp[d[ptr]] - 2LL * s[j] * s[d[ptr]] > dp[d[ptr + 1]] - 2LL * s[j] * s[d[ptr + 1]]) ptr++;
			ndp[j] = dp[d[ptr]] + 2LL * (s[j] - s[d[ptr]]) * s[j];
			p[i][j] = d[ptr];
		}
		copy(ndp, ndp + rn + 1, dp);
	}
	cout << 1LL * s[rn] * s[rn] - dp[rn] / 2 << '\n';
	int pos = rn;
	vector<int> ret;
	for (int i = min(m, rn - 1); i >= 1; --i) {
		pos = p[i][pos];
		ret.push_back(sp[pos]);
	}
	for (int i = 1; i <= n; i++) {
		if (ss[i] == ss[i - 1] && ret.size() != m) {
			ret.push_back(i);
		}
	}
	for (int i = 0; i < ret.size(); i++) {
		cout << ret[i];
		if (i + 1 == ret.size()) cout << '\n';
		else cout << ' ';
	}
	return 0;
}

Compilation message

sequence.cpp: In function 'bool comp(long long int, long long int, long long int, long long int)':
sequence.cpp:9:44: warning: integer overflow in expression [-Woverflow]
  int xa1 = xa >> 31, xa0 = xa & ((1 << 31) - 1);
                                  ~~~~~~~~~~^~~
sequence.cpp:10:44: warning: integer overflow in expression [-Woverflow]
  int xb1 = xb >> 31, xb0 = xb & ((1 << 31) - 1);
                                  ~~~~~~~~~~^~~
sequence.cpp:11:44: warning: integer overflow in expression [-Woverflow]
  int ya1 = ya >> 31, ya0 = ya & ((1 << 31) - 1);
                                  ~~~~~~~~~~^~~
sequence.cpp:12:44: warning: integer overflow in expression [-Woverflow]
  int yb1 = yb >> 31, yb0 = yb & ((1 << 31) - 1);
                                  ~~~~~~~~~~^~~
sequence.cpp:21:38: warning: integer overflow in expression [-Woverflow]
  xc1 += xc0 >> 31; xc0 &= ((1 << 31) - 1);
                            ~~~~~~~~~~^~~
sequence.cpp:22:38: warning: integer overflow in expression [-Woverflow]
  xc2 += xc1 >> 31; xc1 &= ((1 << 31) - 1);
                            ~~~~~~~~~~^~~
sequence.cpp:23:38: warning: integer overflow in expression [-Woverflow]
  xc3 += xc2 >> 31; xc2 &= ((1 << 31) - 1);
                            ~~~~~~~~~~^~~
sequence.cpp:24:38: warning: integer overflow in expression [-Woverflow]
  yc1 += yc0 >> 31; yc0 &= ((1 << 31) - 1);
                            ~~~~~~~~~~^~~
sequence.cpp:25:38: warning: integer overflow in expression [-Woverflow]
  yc2 += yc1 >> 31; yc1 &= ((1 << 31) - 1);
                            ~~~~~~~~~~^~~
sequence.cpp:26:38: warning: integer overflow in expression [-Woverflow]
  yc3 += yc2 >> 31; yc2 &= ((1 << 31) - 1);
                            ~~~~~~~~~~^~~
sequence.cpp: In function 'int main()':
sequence.cpp:72:40: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   if (ss[i] == ss[i - 1] && ret.size() != m) {
                             ~~~~~~~~~~~^~~~
sequence.cpp:76:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i < ret.size(); i++) {
                  ~~^~~~~~~~~~~~
sequence.cpp:78:13: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   if (i + 1 == ret.size()) cout << '\n';
       ~~~~~~^~~~~~~~~~~~~
# 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 432 KB contestant found the optimal answer: 0 == 0
4 Correct 2 ms 432 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 2 ms 432 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 2 ms 496 KB contestant found the optimal answer: 1 == 1
7 Correct 2 ms 496 KB contestant found the optimal answer: 1 == 1
8 Correct 2 ms 540 KB contestant found the optimal answer: 1 == 1
9 Correct 2 ms 748 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 2 ms 748 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 2 ms 748 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 2 ms 748 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 2 ms 748 KB contestant found the optimal answer: 140072 == 140072
14 Correct 2 ms 748 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 2 ms 752 KB contestant found the optimal answer: 805 == 805
16 Correct 2 ms 752 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 2 ms 752 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 2 ms 752 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 2 ms 752 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 2 ms 900 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 2 ms 900 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 2 ms 900 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 2 ms 900 KB contestant found the optimal answer: 933702 == 933702
7 Correct 2 ms 952 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 2 ms 952 KB contestant found the optimal answer: 687136 == 687136
9 Correct 2 ms 952 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 2 ms 952 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 2 ms 952 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 2 ms 952 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 4 ms 1848 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 2 ms 1848 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 3 ms 1848 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 3 ms 1848 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 4 ms 1860 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 2 ms 1860 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 1860 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 2 ms 1860 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1860 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 2 ms 1860 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 8 ms 2508 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 2 ms 2508 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 8 ms 2508 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 7 ms 2508 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 10 ms 2508 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 8 ms 2532 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 4 ms 2532 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 5 ms 2532 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 4 ms 2532 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 4 ms 2532 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 60 ms 9948 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 4 ms 9948 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 38 ms 9948 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 46 ms 9948 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 76 ms 9948 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 43 ms 9948 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 50 ms 9948 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 62 ms 9948 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 22 ms 9948 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 21 ms 9948 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 580 ms 83544 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 25 ms 83544 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 595 ms 83544 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 412 ms 83544 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 578 ms 83544 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 428 ms 83544 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 461 ms 83544 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 579 ms 83544 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845