Submission #201022

# Submission time Handle Problem Language Result Execution time Memory
201022 2020-02-09T06:00:26 Z a1_N Bigger segments (IZhO19_segments) C++17
73 / 100
745 ms 262148 KB
#include <bits/stdc++.h>

#define F first
#define S second

using namespace std;

const int N = (int)5e5 + 5;
const long long M = (long long)5e14;
    
int n,a[N];

long long pref[N];

pair<int,long long> dp[N];

pair<int,int> ZeroPair = {0,0};

struct tree{
	tree *left,*right;
	pair<int,int> mx;
	tree(): left(NULL), right(NULL), mx(ZeroPair) {}
}; 

tree *root = new tree();

pair<int,int> get_mx(tree *t){
	return (t != NULL) ? (t->mx) : ZeroPair;
}

void upd(tree *t,long long tl,long long tr,long long pos,pair<int,int> val){
	if(tl == tr){
		t->mx = val;
		return;
	}
	long long tm = (tl + tr) / 2;
	if(pos <= tm){
		if(t->left == NULL) t->left = new tree();
		upd(t->left,tl,tm,pos,val);		
	}
	else{
		if(t->right == NULL) t->right = new tree();
		upd(t->right,tm + 1,tr,pos,val);	
	}
	t->mx = max(get_mx(t->left),get_mx(t->right));
}

pair<int,int> get(tree *t,long long tl,long long tr,long long l,long long r){
	if(l <= tl && tr <= r) return t->mx;
	if(l > tr || r < tl) return ZeroPair;
	long long tm = (tl + tr) / 2;
	pair<int,int> mx1 = (t->left != NULL) ? get(t->left,tl,tm,l,r) : ZeroPair;
	pair<int,int> mx2 = (t->right != NULL) ? get(t->right,tm + 1,tr,l,r) : ZeroPair;
	return max(mx1,mx2);
}

int main(){
	ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0);
	cin >> n;
	for(int i = 1; i <= n; i++){
		cin >> a[i];
		pref[i] = pref[i - 1] + a[i];
	}
	dp[1] = {1,a[1]};
	upd(root,1,M,pref[1] + dp[1].S,{dp[1].F,1});
	for(int i = 2; i <= n; i++){
		dp[i] = {dp[i - 1].F,dp[i - 1].S + a[i]};
		pair<int,int> cur = get(root,1,M,1,pref[i]);
		if(cur.F > 0) dp[i] = {cur.F + 1,pref[i] - pref[cur.S]};
		/* pref[i] - pref[j] >= dp[j].S 
			pref[i] >= pref[j] + dp[j].S

			1) we update value in position pref[j] + dp[j].S
			2) when we want to find answer satisfying condition for this position we use segment tree
		*/
		upd(root,1,M,pref[i] + dp[i].S,{dp[i].F,i});	
	}
	cout << dp[n].F;
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 5 ms 248 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 380 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 5 ms 380 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 5 ms 376 KB Output is correct
11 Correct 5 ms 376 KB Output is correct
12 Correct 5 ms 376 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 376 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 248 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 380 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 5 ms 380 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 5 ms 376 KB Output is correct
11 Correct 5 ms 376 KB Output is correct
12 Correct 5 ms 376 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 376 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 6 ms 632 KB Output is correct
17 Correct 7 ms 760 KB Output is correct
18 Correct 6 ms 760 KB Output is correct
19 Correct 6 ms 760 KB Output is correct
20 Correct 6 ms 776 KB Output is correct
21 Correct 7 ms 776 KB Output is correct
22 Correct 6 ms 760 KB Output is correct
23 Correct 5 ms 632 KB Output is correct
24 Correct 5 ms 508 KB Output is correct
25 Correct 6 ms 888 KB Output is correct
26 Correct 5 ms 248 KB Output is correct
27 Correct 6 ms 504 KB Output is correct
28 Correct 5 ms 376 KB Output is correct
29 Correct 6 ms 504 KB Output is correct
30 Correct 5 ms 504 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 248 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 380 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 5 ms 380 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 5 ms 376 KB Output is correct
11 Correct 5 ms 376 KB Output is correct
12 Correct 5 ms 376 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 376 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 6 ms 632 KB Output is correct
17 Correct 7 ms 760 KB Output is correct
18 Correct 6 ms 760 KB Output is correct
19 Correct 6 ms 760 KB Output is correct
20 Correct 6 ms 776 KB Output is correct
21 Correct 7 ms 776 KB Output is correct
22 Correct 6 ms 760 KB Output is correct
23 Correct 5 ms 632 KB Output is correct
24 Correct 5 ms 508 KB Output is correct
25 Correct 6 ms 888 KB Output is correct
26 Correct 5 ms 248 KB Output is correct
27 Correct 6 ms 504 KB Output is correct
28 Correct 5 ms 376 KB Output is correct
29 Correct 6 ms 504 KB Output is correct
30 Correct 5 ms 504 KB Output is correct
31 Correct 10 ms 1912 KB Output is correct
32 Correct 10 ms 2424 KB Output is correct
33 Correct 11 ms 2936 KB Output is correct
34 Correct 11 ms 2680 KB Output is correct
35 Correct 13 ms 3320 KB Output is correct
36 Correct 11 ms 3320 KB Output is correct
37 Correct 11 ms 2808 KB Output is correct
38 Correct 9 ms 2296 KB Output is correct
39 Correct 9 ms 760 KB Output is correct
40 Correct 12 ms 3192 KB Output is correct
41 Correct 10 ms 888 KB Output is correct
42 Correct 9 ms 1272 KB Output is correct
43 Correct 8 ms 760 KB Output is correct
44 Correct 9 ms 1528 KB Output is correct
45 Correct 10 ms 1528 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 248 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 380 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 5 ms 380 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 5 ms 376 KB Output is correct
11 Correct 5 ms 376 KB Output is correct
12 Correct 5 ms 376 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 376 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 6 ms 632 KB Output is correct
17 Correct 7 ms 760 KB Output is correct
18 Correct 6 ms 760 KB Output is correct
19 Correct 6 ms 760 KB Output is correct
20 Correct 6 ms 776 KB Output is correct
21 Correct 7 ms 776 KB Output is correct
22 Correct 6 ms 760 KB Output is correct
23 Correct 5 ms 632 KB Output is correct
24 Correct 5 ms 508 KB Output is correct
25 Correct 6 ms 888 KB Output is correct
26 Correct 5 ms 248 KB Output is correct
27 Correct 6 ms 504 KB Output is correct
28 Correct 5 ms 376 KB Output is correct
29 Correct 6 ms 504 KB Output is correct
30 Correct 5 ms 504 KB Output is correct
31 Correct 10 ms 1912 KB Output is correct
32 Correct 10 ms 2424 KB Output is correct
33 Correct 11 ms 2936 KB Output is correct
34 Correct 11 ms 2680 KB Output is correct
35 Correct 13 ms 3320 KB Output is correct
36 Correct 11 ms 3320 KB Output is correct
37 Correct 11 ms 2808 KB Output is correct
38 Correct 9 ms 2296 KB Output is correct
39 Correct 9 ms 760 KB Output is correct
40 Correct 12 ms 3192 KB Output is correct
41 Correct 10 ms 888 KB Output is correct
42 Correct 9 ms 1272 KB Output is correct
43 Correct 8 ms 760 KB Output is correct
44 Correct 9 ms 1528 KB Output is correct
45 Correct 10 ms 1528 KB Output is correct
46 Correct 118 ms 37752 KB Output is correct
47 Correct 166 ms 42744 KB Output is correct
48 Correct 211 ms 84476 KB Output is correct
49 Correct 230 ms 90744 KB Output is correct
50 Correct 266 ms 100216 KB Output is correct
51 Correct 228 ms 98552 KB Output is correct
52 Correct 111 ms 49400 KB Output is correct
53 Correct 73 ms 29836 KB Output is correct
54 Correct 111 ms 14840 KB Output is correct
55 Correct 230 ms 95480 KB Output is correct
56 Correct 150 ms 44664 KB Output is correct
57 Correct 158 ms 37240 KB Output is correct
58 Correct 159 ms 40824 KB Output is correct
59 Correct 190 ms 57336 KB Output is correct
60 Correct 197 ms 57080 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 248 KB Output is correct
2 Correct 5 ms 376 KB Output is correct
3 Correct 5 ms 376 KB Output is correct
4 Correct 5 ms 376 KB Output is correct
5 Correct 5 ms 380 KB Output is correct
6 Correct 5 ms 376 KB Output is correct
7 Correct 5 ms 376 KB Output is correct
8 Correct 5 ms 380 KB Output is correct
9 Correct 5 ms 376 KB Output is correct
10 Correct 5 ms 376 KB Output is correct
11 Correct 5 ms 376 KB Output is correct
12 Correct 5 ms 376 KB Output is correct
13 Correct 5 ms 376 KB Output is correct
14 Correct 5 ms 376 KB Output is correct
15 Correct 5 ms 376 KB Output is correct
16 Correct 6 ms 632 KB Output is correct
17 Correct 7 ms 760 KB Output is correct
18 Correct 6 ms 760 KB Output is correct
19 Correct 6 ms 760 KB Output is correct
20 Correct 6 ms 776 KB Output is correct
21 Correct 7 ms 776 KB Output is correct
22 Correct 6 ms 760 KB Output is correct
23 Correct 5 ms 632 KB Output is correct
24 Correct 5 ms 508 KB Output is correct
25 Correct 6 ms 888 KB Output is correct
26 Correct 5 ms 248 KB Output is correct
27 Correct 6 ms 504 KB Output is correct
28 Correct 5 ms 376 KB Output is correct
29 Correct 6 ms 504 KB Output is correct
30 Correct 5 ms 504 KB Output is correct
31 Correct 10 ms 1912 KB Output is correct
32 Correct 10 ms 2424 KB Output is correct
33 Correct 11 ms 2936 KB Output is correct
34 Correct 11 ms 2680 KB Output is correct
35 Correct 13 ms 3320 KB Output is correct
36 Correct 11 ms 3320 KB Output is correct
37 Correct 11 ms 2808 KB Output is correct
38 Correct 9 ms 2296 KB Output is correct
39 Correct 9 ms 760 KB Output is correct
40 Correct 12 ms 3192 KB Output is correct
41 Correct 10 ms 888 KB Output is correct
42 Correct 9 ms 1272 KB Output is correct
43 Correct 8 ms 760 KB Output is correct
44 Correct 9 ms 1528 KB Output is correct
45 Correct 10 ms 1528 KB Output is correct
46 Correct 118 ms 37752 KB Output is correct
47 Correct 166 ms 42744 KB Output is correct
48 Correct 211 ms 84476 KB Output is correct
49 Correct 230 ms 90744 KB Output is correct
50 Correct 266 ms 100216 KB Output is correct
51 Correct 228 ms 98552 KB Output is correct
52 Correct 111 ms 49400 KB Output is correct
53 Correct 73 ms 29836 KB Output is correct
54 Correct 111 ms 14840 KB Output is correct
55 Correct 230 ms 95480 KB Output is correct
56 Correct 150 ms 44664 KB Output is correct
57 Correct 158 ms 37240 KB Output is correct
58 Correct 159 ms 40824 KB Output is correct
59 Correct 190 ms 57336 KB Output is correct
60 Correct 197 ms 57080 KB Output is correct
61 Correct 571 ms 174968 KB Output is correct
62 Correct 636 ms 168504 KB Output is correct
63 Correct 745 ms 212984 KB Output is correct
64 Runtime error 703 ms 262148 KB Execution killed with signal 9 (could be triggered by violating memory limits)
65 Halted 0 ms 0 KB -