oj.uz

Submission #862502

# Submission time Handle Problem Language Result Execution time Memory
862502 2023-10-18T11:25:34 Z KN200711 Sequence (APIO23_sequence) C++17
48 / 100
 799 ms 100432 KB 
#include "sequence.h"
# include <bits/stdc++.h>
# define fi first
# define se second
using namespace std;

const int MXN = 5e5;
vector<int> ct[MXN + 1];
int pref[4 * MXN + 10], pref1[4 * MXN + 10], suff[4 * MXN + 10], suff1[4 * MXN + 10], sm1[4 *MXN + 10], sm2[4 *MXN + 10], arr[MXN + 1];

void merge(int c, int a, int b) {
	pref[c] = max(pref[a], sm1[a] + pref[b]);
	pref1[c] = min(pref1[a], sm2[a] + pref1[b]);
	suff[c] = max(suff[b], sm1[b] + suff[a]);
	suff1[c] = min(suff1[a], sm2[b] + suff1[a]);
	sm1[c] = sm1[a] + sm1[b];
	sm2[c] = sm2[a] + sm2[b];
}

void build(int lf, int rg, int nd) {
	if(lf == rg) {
		if(arr[lf] == 0) {
			pref[nd] = pref1[nd] = suff1[nd] = suff[nd] = 0;
			sm1[nd] = 1;
			sm2[nd] = -1;
		}
		else {
			sm1[nd] = sm2[nd] = pref[nd] = suff[nd] = 1;
			pref1[nd] = suff1[nd] = 0;
		}
	} else {
		int mid = (lf + rg) / 2;
		build(lf, mid, 2*nd+1);
		build(mid+1, rg, 2*nd+2);
		merge(nd, 2*nd+1, 2*nd+2);
	}
}

void upd(int lf, int rg, int nd, int pos, int v) {
	if(lf == rg) {
		sm1[nd] = sm2[nd] = v;
		if(v == 0) {
			sm1[nd] = 1;
			sm2[nd] = -1;
		}
		pref[nd] = suff[nd] = max(0, v);
		pref1[nd] = suff1[nd] = min(0, v);
	} else {
		int mid = (lf + rg) / 2;
		if(pos <= mid) upd(lf, mid, 2*nd+1, pos, v);
		else upd(mid+1, rg, 2*nd+2, pos, v);
		merge(nd, 2*nd+1, 2*nd+2);
	}
}

pair<int, pair<int, int> > qry(int lf, int rg, int nd, int clf, int crg, int v) {
	if(clf > rg || lf > crg) return make_pair(0, make_pair(0, 0));
	if(clf <= lf && rg <= crg) {
		if(v) return make_pair(sm1[nd], make_pair(pref[nd], suff[nd]));
		else return make_pair(sm2[nd], make_pair(pref1[nd], suff1[nd]));
	} else {
		int mid = (lf + rg) / 2;
		pair<int, pair<int, int> > a, b;
		a = qry(lf, mid, 2*nd+1, clf, crg, v);
		b = qry(mid+1, rg, 2*nd+2, clf, crg, v);
		if(v) return make_pair(a.fi + b.fi, make_pair(max(a.se.fi, a.fi + b.se.fi), max(b.se.se, a.se.se + b.fi)));
		else return make_pair(a.fi + b.fi, make_pair(min(a.se.fi, a.fi + b.se.fi), min(b.se.se, a.se.se + b.fi)));
	}
}

int N1;
int fen[500001];
int sm[500001];

void add(int a, int b) {
	while(a <= N1) {
		fen[a] += b;
		a += a&(-a);
	}
}

void ad(int a, int b) {
	while(a <= N1) {
		sm[a] += b;
		a += a&(-a);
	}
}

int qy(int a) {
	int as = 0;
	while(a > 0) {
		as += fen[a];
		a -= a&(-a);
	}
	return as;
}

int qqy(int a) {
	int as = 0;
	while(a > 0) {
		as += sm[a];
		a -= a&(-a);
	}
	return as;
}

bool cek(int a, int b) {
	int d;
	d = qqy(b + 1) - qqy(a);
//	if(a == 0 && b == 8) cout<<"D : "<<a<<" "<<b<<" "<<d.fi<<" "<<d.se.fi<<" "<<d.se.se<<endl;
	int lr = qy(b + 1) - qy(a);
//	if(a == 0 && b == 8) cout<<lr<<endl; 
	if(lr >= abs(d)) return 1;
	else {
		if(d < 0) {
			d += qry(0, N1 - 1, 0, 0, a-1, 1).se.se + qry(0, N1-1, 0, b+1, N1-1, 1).se.fi;
			if(d > 0) d = 0;
		} else {
			d += qry(0, N1-1, 0, 0, a-1, 0).se.se + qry(0, N1-1, 0, b+1, N1-1, 0).se.fi;
			if(d < 0) d = 0;
		}
		if(lr >= abs(d)) return 1;
		else return 0;
	}
	return 0;
}


int sequence(int N, vector<int> A) {
	N1 = N;
	
	map<int, int> mp;
	for(int i=0;i<N;i++) mp[A[i]] = 1;
	int cnt  = 0;
	for(auto p : mp) mp[p.fi] = cnt++;
	for(int i=0;i<N;i++) {
		arr[i] = mp[A[i]];
		if(arr[i] == 0) add(i + 1, 1);
		else ad(i + 1, 1);
		ct[arr[i]].push_back(i);
	}
	
	build(0, N-1, 0);
	int ans = 0;
	for(int i=0;i<cnt;i++) {
		int r = 0;
		for(int k=0;k<ct[i].size();k++) {
		//	cout<<i<<" "<<k<<" "<<r<<endl;
		//	if(i == 1 && r < ct[i].size()) cout<<r<<" "<<cek(ct[i][k], ct[i][r])<<endl;
			while(r < ct[i].size() && cek(ct[i][k], ct[i][r])) {
				r++;
			//	cout<<"r : "<<r<<endl;
			}
			
		//	cout<<"i : "<<i<<" "<<k<<" "<<r<<endl;
			ans = max(ans, r - k);
		}
		for(int d=0;d<ct[i].size();d++) {
			upd(0, N-1, 0, ct[i][d], -1);
			ad(ct[i][d] + 1, -1);
			add(ct[i][d] + 1, -1);
		}
		for(int d=0;d<ct[i+1].size();d++) {
			upd(0, N-1, 0, ct[i+1][d], 0);
			ad(ct[i+1][d] + 1, -1);
			add(ct[i+1][d] + 1, 1);
		}
	//	cout<<qry(0, N-1, 0, 0, N-1, 0).fi<<endl;
	}
	return ans;
}

Compilation message

sequence.cpp: In function 'int sequence(int, std::vector<int>)':
sequence.cpp:147:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  147 |   for(int k=0;k<ct[i].size();k++) {
      |               ~^~~~~~~~~~~~~
sequence.cpp:150:12: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  150 |    while(r < ct[i].size() && cek(ct[i][k], ct[i][r])) {
      |          ~~^~~~~~~~~~~~~~
sequence.cpp:158:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  158 |   for(int d=0;d<ct[i].size();d++) {
      |               ~^~~~~~~~~~~~~
sequence.cpp:163:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  163 |   for(int d=0;d<ct[i+1].size();d++) {
      |               ~^~~~~~~~~~~~~~~

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 29784 KB Output is correct
2 Correct 5 ms 29788 KB Output is correct
3 Correct 5 ms 29940 KB Output is correct
4 Correct 5 ms 29972 KB Output is correct
5 Correct 6 ms 29788 KB Output is correct
6 Correct 5 ms 29788 KB Output is correct
7 Correct 5 ms 29784 KB Output is correct
8 Correct 5 ms 29788 KB Output is correct
9 Correct 5 ms 29788 KB Output is correct
10 Correct 5 ms 29952 KB Output is correct
11 Correct 5 ms 29788 KB Output is correct
12 Correct 5 ms 29784 KB Output is correct

Subtask #2
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 29784 KB Output is correct
2 Correct 5 ms 29788 KB Output is correct
3 Correct 5 ms 29940 KB Output is correct
4 Correct 5 ms 29972 KB Output is correct
5 Correct 6 ms 29788 KB Output is correct
6 Correct 5 ms 29788 KB Output is correct
7 Correct 5 ms 29784 KB Output is correct
8 Correct 5 ms 29788 KB Output is correct
9 Correct 5 ms 29788 KB Output is correct
10 Correct 5 ms 29952 KB Output is correct
11 Correct 5 ms 29788 KB Output is correct
12 Correct 5 ms 29784 KB Output is correct
13 Correct 6 ms 30044 KB Output is correct
14 Correct 7 ms 30044 KB Output is correct
15 Correct 6 ms 29788 KB Output is correct
16 Correct 6 ms 29788 KB Output is correct
17 Correct 6 ms 29788 KB Output is correct
18 Correct 6 ms 30044 KB Output is correct
19 Correct 6 ms 30044 KB Output is correct
20 Correct 7 ms 30044 KB Output is correct
21 Correct 7 ms 30040 KB Output is correct
22 Correct 6 ms 30044 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 29784 KB Output is correct
2 Correct 395 ms 86080 KB Output is correct
3 Correct 490 ms 86352 KB Output is correct
4 Correct 320 ms 61636 KB Output is correct
5 Correct 457 ms 83804 KB Output is correct
6 Correct 382 ms 83808 KB Output is correct
7 Correct 368 ms 62548 KB Output is correct
8 Correct 364 ms 62548 KB Output is correct
9 Correct 336 ms 61804 KB Output is correct

Subtask #4
0.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 29788 KB Output is correct
2 Correct 444 ms 61872 KB Output is correct
3 Correct 470 ms 61520 KB Output is correct
4 Correct 463 ms 61884 KB Output is correct
5 Correct 430 ms 61692 KB Output is correct
6 Incorrect 338 ms 61824 KB Output isn't correct
7 Halted 0 ms 0 KB -

Subtask #5
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 768 ms 100432 KB Output is correct
2 Correct 728 ms 100428 KB Output is correct
3 Correct 799 ms 99152 KB Output is correct
4 Correct 762 ms 99052 KB Output is correct
5 Correct 678 ms 90976 KB Output is correct
6 Correct 681 ms 91216 KB Output is correct
7 Correct 508 ms 87888 KB Output is correct
8 Correct 514 ms 86932 KB Output is correct

Subtask #6
0.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 29784 KB Output is correct
2 Correct 5 ms 29788 KB Output is correct
3 Correct 5 ms 29940 KB Output is correct
4 Correct 5 ms 29972 KB Output is correct
5 Correct 6 ms 29788 KB Output is correct
6 Correct 5 ms 29788 KB Output is correct
7 Correct 5 ms 29784 KB Output is correct
8 Correct 5 ms 29788 KB Output is correct
9 Correct 5 ms 29788 KB Output is correct
10 Correct 5 ms 29952 KB Output is correct
11 Correct 5 ms 29788 KB Output is correct
12 Correct 5 ms 29784 KB Output is correct
13 Correct 6 ms 30044 KB Output is correct
14 Correct 7 ms 30044 KB Output is correct
15 Correct 6 ms 29788 KB Output is correct
16 Correct 6 ms 29788 KB Output is correct
17 Correct 6 ms 29788 KB Output is correct
18 Correct 6 ms 30044 KB Output is correct
19 Correct 6 ms 30044 KB Output is correct
20 Correct 7 ms 30044 KB Output is correct
21 Correct 7 ms 30040 KB Output is correct
22 Correct 6 ms 30044 KB Output is correct
23 Correct 132 ms 41324 KB Output is correct
24 Correct 106 ms 41300 KB Output is correct
25 Incorrect 106 ms 41200 KB Output isn't correct
26 Halted 0 ms 0 KB -

Subtask #7
0.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 29784 KB Output is correct
2 Correct 5 ms 29788 KB Output is correct
3 Correct 5 ms 29940 KB Output is correct
4 Correct 5 ms 29972 KB Output is correct
5 Correct 6 ms 29788 KB Output is correct
6 Correct 5 ms 29788 KB Output is correct
7 Correct 5 ms 29784 KB Output is correct
8 Correct 5 ms 29788 KB Output is correct
9 Correct 5 ms 29788 KB Output is correct
10 Correct 5 ms 29952 KB Output is correct
11 Correct 5 ms 29788 KB Output is correct
12 Correct 5 ms 29784 KB Output is correct
13 Correct 6 ms 30044 KB Output is correct
14 Correct 7 ms 30044 KB Output is correct
15 Correct 6 ms 29788 KB Output is correct
16 Correct 6 ms 29788 KB Output is correct
17 Correct 6 ms 29788 KB Output is correct
18 Correct 6 ms 30044 KB Output is correct
19 Correct 6 ms 30044 KB Output is correct
20 Correct 7 ms 30044 KB Output is correct
21 Correct 7 ms 30040 KB Output is correct
22 Correct 6 ms 30044 KB Output is correct
23 Correct 395 ms 86080 KB Output is correct
24 Correct 490 ms 86352 KB Output is correct
25 Correct 320 ms 61636 KB Output is correct
26 Correct 457 ms 83804 KB Output is correct
27 Correct 382 ms 83808 KB Output is correct
28 Correct 368 ms 62548 KB Output is correct
29 Correct 364 ms 62548 KB Output is correct
30 Correct 336 ms 61804 KB Output is correct
31 Correct 444 ms 61872 KB Output is correct
32 Correct 470 ms 61520 KB Output is correct
33 Correct 463 ms 61884 KB Output is correct
34 Correct 430 ms 61692 KB Output is correct
35 Incorrect 338 ms 61824 KB Output isn't correct
36 Halted 0 ms 0 KB -