oj.uz

Submission #793829

# Submission time Handle Problem Language Result Execution time Memory
793829 2023-07-26T07:07:18 Z 박상훈(#10058) Triangle Collection (CCO23_day2problem3) C++17
25 / 25
 2048 ms 21812 KB 
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;

int n, q;
ll a[200200], b[200200];

struct Seg1{
	ll tree[800800];

	void init(int i, int l, int r){
		if (l==r){
			tree[i] = a[l] / 2;
			return;
		}

		int m = (l+r)>>1;
		init(i<<1, l, m); init(i<<1|1, m+1, r);
		tree[i] = tree[i<<1] + tree[i<<1|1];
	}

	void update(int i, int l, int r, int p, ll x){
		if (r<p || p<l) return;
		if (l==r){
			tree[i] = x;
			return;
		}

		int m = (l+r)>>1;
		update(i<<1, l, m, p, x); update(i<<1|1, m+1, r, p, x);
		tree[i] = tree[i<<1] + tree[i<<1|1];
	}

	int suf(int i, int l, int r, ll x){
		if (tree[i] < x) return -1;
		if (l==r) return l;

		int m = (l+r)>>1;
		int ret = suf(i<<1|1, m+1, r, x);
		if (ret!=-1) return ret;

		return suf(i<<1, l, m, x - tree[i<<1|1]);
	}

	ll query(int i, int l, int r, int s, int e){
		if (r<s || e<l) return 0;
		if (s<=l && r<=e) return tree[i];

		int m = (l+r)>>1;
		return query(i<<1, l, m, s, e) + query(i<<1|1, m+1, r, s, e);
	}
}tree1;

struct Seg2{
	ll tree[400400];
	int sz;

	void init(int n){
		sz = n;
	}

	void update(int p, ll x){
		p += sz;
		tree[p] = x;
		for (p>>=1;p;p>>=1) tree[p] = tree[p<<1] + tree[p<<1|1];
	}

	ll query(int l, int r){
		++r;
		ll ret = 0;
		for (l+=sz, r+=sz;l<r;l>>=1, r>>=1){
			if (l&1) ret += tree[l++];
			if (r&1) ret += tree[--r];
		}

		return ret;
	}
}tree2, tree3;

struct Node{
	ll prf, sum;
	Node(){}
	Node(ll _prf, ll _sum): prf(_prf), sum(_sum) {}

	Node operator + (const Node &N) const{
		return Node(min(prf, sum + N.prf), sum + N.sum);
	}
};

struct Seg3{
	Node tree[400400];
	int sz;

	void init(int n){
		sz = n;
	}

	void update(int p, ll x){
		p += sz;
		tree[p] = Node(min(x, 0LL), x);
		for (p>>=1;p;p>>=1) tree[p] = tree[p<<1] + tree[p<<1|1];
	}

	Node query(int l, int r){
		++r;
		Node retl(0, 0), retr(0, 0);

		for (l+=sz, r+=sz;l<r;l>>=1, r>>=1){
			if (l&1) retl = retl + tree[l++];
			if (r&1) retr = tree[--r] + retr;
		}

		return retl + retr;
	}
}tree4;

int ok_naive(ll cnt){
	for (int i=n;i;i--){
		b[i] = min(a[i] / 2, cnt);
		cnt -= b[i];
	}

	if (cnt > 0) return 0;

	ll need = 0, avail = 0;
	int pt = 0;

	for (int i=1;i<=n;i++){
		need += b[i];
		for (;pt<min(n, i*2-1);pt++){
			avail += a[pt+1] - b[pt+1] * 2;
		}

		if (need > avail) return 0;
	}

	return 1;
}

int ok(ll cnt){
	if (tree1.tree[1] < cnt) return 0;

	// printf(" ok cnt = %lld\n", cnt);
	int pos = tree1.suf(1, 1, n, cnt);
	assert(pos != -1);
	
	ll sum = tree1.query(1, 1, n, pos+1, n);
	
	ll need = cnt - sum;
	ll avail = tree2.query(1, pos-1) + (a[pos] - need*2) + tree3.query(pos+1, min(n, pos*2-1));

	assert(need*2 <= a[pos]);

	// printf("  pos = %d, sum = %lld, need = %lld, avail = %lld\n", pos, sum, need, avail);

	if (need > avail) return 0;
	auto [prf, _] = tree4.query(pos+1, n);

	if (avail - need + prf < 0) return 0;
	return 1;
}

ll solve(){
	ll l = 1, r = 1e14, ans = 0;
	while(l<=r){
		ll mid = (l+r)>>1;
		if (ok(mid)) ans = mid, l = mid+1;
		else r = mid-1;
	}

	return ans;
}

ll f(int x){
	assert(x > 0);
	ll ret = -(a[x]/2);
	if (0 < x*2-2 && x*2-2 <= n) ret += a[x*2-2]&1;
	if (0 < x*2-1 && x*2-1 <= n) ret += a[x*2-1]&1;

	return ret;
}

int main(){
	scanf("%d %d", &n, &q);
	for (int i=1;i<=n;i++) scanf("%lld", a+i);

	tree1.init(1, 1, n);
	tree2.init(n+1);
	tree3.init(n+1);
	tree4.init(n+1);

	for (int i=1;i<=n;i++){
		tree2.update(i, a[i]);
		tree3.update(i, a[i]&1);
		tree4.update(i, f(i));
	}

	while(q--){
		int x, y;
		scanf("%d %d", &x, &y);
		a[x] += y;

		tree1.update(1, 1, n, x, a[x]/2);
		tree2.update(x, a[x]);
		tree3.update(x, a[x]&1);

		tree4.update(x, f(x));
		tree4.update(x/2+1, f(x/2+1));

		printf("%lld\n", solve());
	}
}

Compilation message

Main.cpp: In function 'int main()':
Main.cpp:185:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  185 |  scanf("%d %d", &n, &q);
      |  ~~~~~^~~~~~~~~~~~~~~~~
Main.cpp:186:30: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  186 |  for (int i=1;i<=n;i++) scanf("%lld", a+i);
      |                         ~~~~~^~~~~~~~~~~~~
Main.cpp:201:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  201 |   scanf("%d %d", &x, &y);
      |   ~~~~~^~~~~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 2 ms 340 KB Output is correct
5 Correct 4 ms 340 KB Output is correct
6 Correct 3 ms 468 KB Output is correct
7 Correct 3 ms 468 KB Output is correct
8 Correct 3 ms 340 KB Output is correct
9 Correct 3 ms 468 KB Output is correct
10 Correct 3 ms 468 KB Output is correct
11 Correct 3 ms 468 KB Output is correct
12 Correct 3 ms 468 KB Output is correct
13 Correct 2 ms 468 KB Output is correct
14 Correct 1 ms 340 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 2 ms 340 KB Output is correct
5 Correct 4 ms 340 KB Output is correct
6 Correct 3 ms 468 KB Output is correct
7 Correct 3 ms 468 KB Output is correct
8 Correct 3 ms 340 KB Output is correct
9 Correct 3 ms 468 KB Output is correct
10 Correct 3 ms 468 KB Output is correct
11 Correct 3 ms 468 KB Output is correct
12 Correct 3 ms 468 KB Output is correct
13 Correct 2 ms 468 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 11 ms 468 KB Output is correct
18 Correct 11 ms 516 KB Output is correct
19 Correct 11 ms 516 KB Output is correct
20 Correct 12 ms 520 KB Output is correct
21 Correct 4 ms 468 KB Output is correct
22 Correct 10 ms 528 KB Output is correct
23 Correct 6 ms 468 KB Output is correct
24 Correct 4 ms 468 KB Output is correct
25 Correct 10 ms 512 KB Output is correct
26 Correct 2 ms 512 KB Output is correct
27 Correct 4 ms 468 KB Output is correct
28 Correct 0 ms 340 KB Output is correct

Subtask #3
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 468 KB Output is correct
2 Correct 3 ms 468 KB Output is correct
3 Correct 86 ms 604 KB Output is correct
4 Correct 672 ms 19648 KB Output is correct
5 Correct 588 ms 19916 KB Output is correct
6 Correct 664 ms 19700 KB Output is correct
7 Correct 721 ms 19792 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 484 KB Output is correct
2 Correct 10 ms 532 KB Output is correct
3 Correct 11 ms 596 KB Output is correct
4 Correct 4 ms 520 KB Output is correct
5 Correct 1018 ms 20048 KB Output is correct
6 Correct 1898 ms 21540 KB Output is correct
7 Correct 1909 ms 21596 KB Output is correct
8 Correct 2048 ms 21572 KB Output is correct
9 Correct 2031 ms 21616 KB Output is correct

Subtask #5
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 2 ms 340 KB Output is correct
4 Correct 2 ms 340 KB Output is correct
5 Correct 4 ms 340 KB Output is correct
6 Correct 3 ms 468 KB Output is correct
7 Correct 3 ms 468 KB Output is correct
8 Correct 3 ms 340 KB Output is correct
9 Correct 3 ms 468 KB Output is correct
10 Correct 3 ms 468 KB Output is correct
11 Correct 3 ms 468 KB Output is correct
12 Correct 3 ms 468 KB Output is correct
13 Correct 2 ms 468 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 11 ms 468 KB Output is correct
18 Correct 11 ms 516 KB Output is correct
19 Correct 11 ms 516 KB Output is correct
20 Correct 12 ms 520 KB Output is correct
21 Correct 4 ms 468 KB Output is correct
22 Correct 10 ms 528 KB Output is correct
23 Correct 6 ms 468 KB Output is correct
24 Correct 4 ms 468 KB Output is correct
25 Correct 10 ms 512 KB Output is correct
26 Correct 2 ms 512 KB Output is correct
27 Correct 4 ms 468 KB Output is correct
28 Correct 0 ms 340 KB Output is correct
29 Correct 3 ms 468 KB Output is correct
30 Correct 3 ms 468 KB Output is correct
31 Correct 86 ms 604 KB Output is correct
32 Correct 672 ms 19648 KB Output is correct
33 Correct 588 ms 19916 KB Output is correct
34 Correct 664 ms 19700 KB Output is correct
35 Correct 721 ms 19792 KB Output is correct
36 Correct 3 ms 484 KB Output is correct
37 Correct 10 ms 532 KB Output is correct
38 Correct 11 ms 596 KB Output is correct
39 Correct 4 ms 520 KB Output is correct
40 Correct 1018 ms 20048 KB Output is correct
41 Correct 1898 ms 21540 KB Output is correct
42 Correct 1909 ms 21596 KB Output is correct
43 Correct 2048 ms 21572 KB Output is correct
44 Correct 2031 ms 21616 KB Output is correct
45 Correct 2043 ms 21560 KB Output is correct
46 Correct 1970 ms 21576 KB Output is correct
47 Correct 1998 ms 21536 KB Output is correct
48 Correct 1095 ms 19892 KB Output is correct
49 Correct 1952 ms 21588 KB Output is correct
50 Correct 1167 ms 20320 KB Output is correct
51 Correct 689 ms 20300 KB Output is correct
52 Correct 1957 ms 21812 KB Output is correct
53 Correct 353 ms 19820 KB Output is correct
54 Correct 807 ms 20100 KB Output is correct