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Submission #522765

# Submission time Handle Problem Language Result Execution time Memory
522765 2022-02-05T16:48:17 Z nafis_shifat Bigger segments (IZhO19_segments) C++17
100 / 100
 399 ms 53644 KB 
#include<bits/stdc++.h>
#define ll long long
#define pii pair<ll,ll>
using namespace std;
const int mxn=1e6+5;
const int inf=1e9;
pii dp[mxn];
ll a[mxn], pre[mxn];
int n;

struct segtree {
	pii lazy[4 * mxn] = {};
	pii tree[4 * mxn] = {};
	


	void propogate(int node) {
		int left=node<<1;
		int right=left|1;

		tree[left] = max(tree[left], lazy[node]);
		tree[right] = max(tree[right], lazy[node]);
		lazy[left] = max(lazy[left], lazy[node]);
		lazy[right] = max(lazy[right], lazy[node]);
		lazy[node] = {0, 0};
	}

	void update(int node,int b,int e,int l,int r,pii v) {
		if(e<l || b>r)return;
		if(b>=l && e<=r) {
			tree[node] = max(tree[node], v);
			lazy[node] = max(lazy[node], v);
			return;
		}
		if(lazy[node]!= make_pair(0ll, 0ll)) propogate(node);

		int mid=b+e>>1;
		int left=node<<1;
		int right=left|1;

		update(left,b,mid,l,r,v);
		update(right,mid+1,e,l,r,v);
		tree[node]=max(tree[left],tree[right]);
	}

	pii query(int node, int b, int e, int p) {
		if(b == e) return tree[node];

		int mid = b + e >> 1;
		int left = node << 1;
		int right = left | 1;
		if(lazy[node] != make_pair(0ll, 0ll)) propogate(node);
		if(p <= mid) return query(left, b, mid, p);
		return query(right, mid + 1, e, p);
	}
} st;
int main() {
	cin >> n;
	pre[0] = 0;
	for(int i = 1; i <= n; i++) {
		cin >> a[i];
		pre[i] = pre[i - 1] + a[i];
	}

	dp[0] = {0, 0};

	for(int i = 1; i <= n; i++) {
		dp[i] = {1, pre[i]};
		auto x = st.query(1, 1, n, i);
		dp[i] = max(dp[i], {x.first, pre[i] - x.second});


		int lo = i + 1;
		int hi = n;
		int ind = n + 1;
		while(lo <= hi) {
			int mid = lo + hi >> 1;
			if(pre[mid] >= dp[i].second + pre[i]) {
				ind = mid;
				hi = mid - 1;
			} else {
				lo = mid + 1;
			}
		}

		st.update(1, 1, n, ind, n, make_pair(dp[i].first + 1ll, pre[i]));


	}

	cout<<dp[n].first<<endl;
	
}

Compilation message

segments.cpp: In member function 'void segtree::update(int, int, int, int, int, std::pair<long long int, long long int>)':
segments.cpp:37:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   37 |   int mid=b+e>>1;
      |           ~^~
segments.cpp: In member function 'std::pair<long long int, long long int> segtree::query(int, int, int, int)':
segments.cpp:49:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   49 |   int mid = b + e >> 1;
      |             ~~^~~
segments.cpp: In function 'int main()':
segments.cpp:77:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   77 |    int mid = lo + hi >> 1;
      |              ~~~^~~~

Subtask #1
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 296 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 0 ms 288 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 296 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 0 ms 332 KB Output is correct
9 Correct 0 ms 300 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 0 ms 332 KB Output is correct
12 Correct 1 ms 300 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 296 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 0 ms 288 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 296 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 0 ms 332 KB Output is correct
9 Correct 0 ms 300 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 0 ms 332 KB Output is correct
12 Correct 1 ms 300 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 300 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 304 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 300 KB Output is correct
30 Correct 1 ms 332 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 296 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 0 ms 288 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 296 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 0 ms 332 KB Output is correct
9 Correct 0 ms 300 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 0 ms 332 KB Output is correct
12 Correct 1 ms 300 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 300 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 304 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 300 KB Output is correct
30 Correct 1 ms 332 KB Output is correct
31 Correct 2 ms 332 KB Output is correct
32 Correct 3 ms 700 KB Output is correct
33 Correct 3 ms 692 KB Output is correct
34 Correct 2 ms 692 KB Output is correct
35 Correct 2 ms 716 KB Output is correct
36 Correct 2 ms 716 KB Output is correct
37 Correct 3 ms 616 KB Output is correct
38 Correct 2 ms 436 KB Output is correct
39 Correct 2 ms 716 KB Output is correct
40 Correct 3 ms 588 KB Output is correct
41 Correct 2 ms 588 KB Output is correct
42 Correct 2 ms 588 KB Output is correct
43 Correct 3 ms 588 KB Output is correct
44 Correct 2 ms 588 KB Output is correct
45 Correct 2 ms 588 KB Output is correct

Subtask #4
36.0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 296 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 0 ms 288 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 296 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 0 ms 332 KB Output is correct
9 Correct 0 ms 300 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 0 ms 332 KB Output is correct
12 Correct 1 ms 300 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 300 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 304 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 300 KB Output is correct
30 Correct 1 ms 332 KB Output is correct
31 Correct 2 ms 332 KB Output is correct
32 Correct 3 ms 700 KB Output is correct
33 Correct 3 ms 692 KB Output is correct
34 Correct 2 ms 692 KB Output is correct
35 Correct 2 ms 716 KB Output is correct
36 Correct 2 ms 716 KB Output is correct
37 Correct 3 ms 616 KB Output is correct
38 Correct 2 ms 436 KB Output is correct
39 Correct 2 ms 716 KB Output is correct
40 Correct 3 ms 588 KB Output is correct
41 Correct 2 ms 588 KB Output is correct
42 Correct 2 ms 588 KB Output is correct
43 Correct 3 ms 588 KB Output is correct
44 Correct 2 ms 588 KB Output is correct
45 Correct 2 ms 588 KB Output is correct
46 Correct 28 ms 3764 KB Output is correct
47 Correct 57 ms 11712 KB Output is correct
48 Correct 79 ms 12392 KB Output is correct
49 Correct 72 ms 12500 KB Output is correct
50 Correct 69 ms 12568 KB Output is correct
51 Correct 72 ms 12564 KB Output is correct
52 Correct 35 ms 6420 KB Output is correct
53 Correct 22 ms 3600 KB Output is correct
54 Correct 51 ms 11900 KB Output is correct
55 Correct 79 ms 12620 KB Output is correct
56 Correct 55 ms 12044 KB Output is correct
57 Correct 53 ms 12024 KB Output is correct
58 Correct 57 ms 11984 KB Output is correct
59 Correct 57 ms 12212 KB Output is correct
60 Correct 61 ms 12164 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 296 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 0 ms 288 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 296 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 0 ms 332 KB Output is correct
9 Correct 0 ms 300 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 0 ms 332 KB Output is correct
12 Correct 1 ms 300 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 300 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 304 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 1 ms 332 KB Output is correct
22 Correct 1 ms 332 KB Output is correct
23 Correct 1 ms 332 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 332 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 332 KB Output is correct
28 Correct 1 ms 332 KB Output is correct
29 Correct 1 ms 300 KB Output is correct
30 Correct 1 ms 332 KB Output is correct
31 Correct 2 ms 332 KB Output is correct
32 Correct 3 ms 700 KB Output is correct
33 Correct 3 ms 692 KB Output is correct
34 Correct 2 ms 692 KB Output is correct
35 Correct 2 ms 716 KB Output is correct
36 Correct 2 ms 716 KB Output is correct
37 Correct 3 ms 616 KB Output is correct
38 Correct 2 ms 436 KB Output is correct
39 Correct 2 ms 716 KB Output is correct
40 Correct 3 ms 588 KB Output is correct
41 Correct 2 ms 588 KB Output is correct
42 Correct 2 ms 588 KB Output is correct
43 Correct 3 ms 588 KB Output is correct
44 Correct 2 ms 588 KB Output is correct
45 Correct 2 ms 588 KB Output is correct
46 Correct 28 ms 3764 KB Output is correct
47 Correct 57 ms 11712 KB Output is correct
48 Correct 79 ms 12392 KB Output is correct
49 Correct 72 ms 12500 KB Output is correct
50 Correct 69 ms 12568 KB Output is correct
51 Correct 72 ms 12564 KB Output is correct
52 Correct 35 ms 6420 KB Output is correct
53 Correct 22 ms 3600 KB Output is correct
54 Correct 51 ms 11900 KB Output is correct
55 Correct 79 ms 12620 KB Output is correct
56 Correct 55 ms 12044 KB Output is correct
57 Correct 53 ms 12024 KB Output is correct
58 Correct 57 ms 11984 KB Output is correct
59 Correct 57 ms 12212 KB Output is correct
60 Correct 61 ms 12164 KB Output is correct
61 Correct 158 ms 18048 KB Output is correct
62 Correct 220 ms 34352 KB Output is correct
63 Correct 320 ms 48064 KB Output is correct
64 Correct 362 ms 53296 KB Output is correct
65 Correct 399 ms 53644 KB Output is correct
66 Correct 371 ms 53576 KB Output is correct
67 Correct 314 ms 49440 KB Output is correct
68 Correct 145 ms 24852 KB Output is correct
69 Correct 285 ms 49892 KB Output is correct
70 Correct 389 ms 53636 KB Output is correct
71 Correct 301 ms 50692 KB Output is correct
72 Correct 289 ms 51188 KB Output is correct
73 Correct 316 ms 51628 KB Output is correct
74 Correct 327 ms 52168 KB Output is correct
75 Correct 330 ms 52096 KB Output is correct