oj.uz

Submission #628245

# Submission time Handle Problem Language Result Execution time Memory
628245 2022-08-13T08:52:31 Z sysia Constellation 3 (JOI20_constellation3) C++17
100 / 100
 546 ms 98976 KB 
//Sylwia Sapkowska
#include <bits/stdc++.h>
using namespace std;

void __print(int x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}

template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ", "; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? ", " : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#ifndef ONLINE_JUDGE
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
#else
#define debug(x...)
#endif

#define int long long
const int oo = 1e18, K = 30;

struct star{
	int x, y, c;
	void read(){
		cin >> x >> y >> c;
	}
};

struct TreeMax{
	vector<pair<int, int>>tab;
	int size = 1;

	TreeMax(int n){
		while (size < n) size*=2;
		tab.assign(2*size, {-oo, -oo});
	}

	void update(int x, pair<int, int> v){
		x += size;
		tab[x] = v;
		while (x){
			x/=2;
			tab[x] = max(tab[2*x], tab[2*x+1]);
		}
	}

	int query(int l, int r){
		pair<int, int>ans = {-oo, -oo};
		l = l+size-1;
		r = r+size+1;
		while (r-l>1){
			if (!(l&1)) ans = max(ans, tab[l+1]);
			if (r&1) ans = max(ans, tab[r-1]);
			l/=2;r/=2;
		}
		return ans.second;
	}
};

struct TreeSum{
	vector<int>tab;
	int size = 1;

	TreeSum(int n){
		while (size < n) size*=2;
		tab.resize(2*size);
	}

	void update(int x, int v){
		x += size;
		tab[x] += v;
		while (x){
			x/=2;
			tab[x] = tab[2*x] + tab[2*x+1];
		}
	}

	int query(int l, int r){
		int ans = 0;
		l = l+size-1;
		r = r+size+1;
		while (r-l>1){
			if (!(l&1)) ans += tab[l+1];
			if (r&1) ans += tab[r-1];
			l/=2;r/=2;
		}
		return ans;
	}
};

void solve(){
	int n; cin >> n;
	vector<int>a(n+1);
	for (int i = 1; i<=n; i++) cin >> a[i];

	int m; cin >> m;
	vector<star>b(m);
	int s = 0;
	for (auto &x: b) {
		x.read();
		s += x.c;
	}
	sort(b.begin(), b.end(), [](auto x, auto y){return x.x < y.x;});
	vector<vector<int>>g(n+1);
	vector<vector<int>>paths(n+1);
	int c = 0;
	TreeMax smax(n+1);
	for (int i = 1; i<=n; i++) smax.update(i, {a[i], i});
	TreeMax gw(m+1);
	for (int i = 0; i<m; i++) gw.update(i, {b[i].y, i});
	vector<int>kon(n+1);

	function<void(int, int, int)>rek = [&](int l, int r, int pa){
		if (l > r) return;
		c++;
		if (pa != -1) g[pa].emplace_back(c);
		int h = smax.query(l, r);
		kon[h] = c; 
		// debug(l, r, h, a[h]);
		
		int L = 0, R = m-1, ll = oo, rr = -oo;
		while (R >= L){
			int mid = (L+R)/2;
			if (b[mid].x >= l){
				ll = mid;
				R = mid-1;
			} else L = mid+1;
		}

		L = 0, R = m-1;
		while (R >= L){
			int mid = (L+R)/2;
			if (b[mid].x <= r){
				rr = mid;
				L = mid+1;
			} else {
				R = mid-1;
			}
		}
		
		if (ll <= rr){
			// debug(l, r, ll, rr);
			while (1){
				int x = gw.query(ll, rr);
				if (x == -oo || b[x].y <= a[h]) break;
				paths[c].emplace_back(x);
				gw.update(x, {-oo, -oo});		
			}
		}
		
		int p = c;
		rek(l, h-1, p);
		rek(h+1, r, p);
	};

	rek(1, n, -1);

	vector<int>dp(n+1), pre(n+1), post(n+1);
	int t = 0;

	function<void(int)>dfs = [&](int v){
		pre[v] = t++;
		for (auto x: g[v]) dfs(x);
		post[v] = t++;
	};

	// for (int i = 1; i<=n; i++){
	// 	for (auto x: paths[i]){
	// 		cerr << i << " " << kon[b[x].x] << " " << b[x].c << "\n";
	// 	}
	// }
	dfs(1);

	TreeSum seg(2*n+3), dp_sum(2*n+3);

	function<void(int, int)>DFS = [&](int v, int pa){
		for (auto x: g[v]) {
			DFS(x, v);
			dp[v] += dp[x];
		}
		int curr = (pa == -1 ? 0 : dp_sum.query(0, pre[v]-1) - seg.query(0, pre[v]-1));
		for (auto x: paths[v]) dp[v] = max(dp[v], seg.query(0, pre[kon[b[x].x]]) - dp_sum.query(0, pre[kon[b[x].x]]) + b[x].c + curr);
		if (pa != -1){
			seg.update(pre[pa], dp[v]);
			seg.update(post[pa], -dp[v]);
		}
		dp_sum.update(pre[v], dp[v]);
		dp_sum.update(post[v], -dp[v]);
	};

	DFS(1, -1);
	// debug(dp);
	cout << s-dp[1] << "\n";
}

int32_t main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);

	solve();
	
	return 0;
}

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 340 KB Output is correct
2 Correct 1 ms 440 KB Output is correct
3 Correct 1 ms 324 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 2 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 460 KB Output is correct
11 Correct 2 ms 448 KB Output is correct
12 Correct 2 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 320 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 452 KB Output is correct
22 Correct 1 ms 340 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 340 KB Output is correct
2 Correct 1 ms 440 KB Output is correct
3 Correct 1 ms 324 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 2 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 460 KB Output is correct
11 Correct 2 ms 448 KB Output is correct
12 Correct 2 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 320 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 452 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 5 ms 848 KB Output is correct
24 Correct 5 ms 840 KB Output is correct
25 Correct 3 ms 852 KB Output is correct
26 Correct 4 ms 852 KB Output is correct
27 Correct 5 ms 852 KB Output is correct
28 Correct 4 ms 852 KB Output is correct
29 Correct 4 ms 852 KB Output is correct
30 Correct 5 ms 852 KB Output is correct
31 Correct 4 ms 852 KB Output is correct
32 Correct 4 ms 1108 KB Output is correct
33 Correct 6 ms 980 KB Output is correct
34 Correct 4 ms 980 KB Output is correct
35 Correct 4 ms 980 KB Output is correct
36 Correct 3 ms 1108 KB Output is correct
37 Correct 4 ms 980 KB Output is correct
38 Correct 4 ms 1236 KB Output is correct
39 Correct 3 ms 852 KB Output is correct
40 Correct 4 ms 1108 KB Output is correct
41 Correct 5 ms 852 KB Output is correct
42 Correct 4 ms 852 KB Output is correct
43 Correct 4 ms 1108 KB Output is correct
44 Correct 5 ms 784 KB Output is correct

Subtask #3
65.0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 340 KB Output is correct
2 Correct 1 ms 440 KB Output is correct
3 Correct 1 ms 324 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 2 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 460 KB Output is correct
11 Correct 2 ms 448 KB Output is correct
12 Correct 2 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 1 ms 320 KB Output is correct
18 Correct 1 ms 468 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 452 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 5 ms 848 KB Output is correct
24 Correct 5 ms 840 KB Output is correct
25 Correct 3 ms 852 KB Output is correct
26 Correct 4 ms 852 KB Output is correct
27 Correct 5 ms 852 KB Output is correct
28 Correct 4 ms 852 KB Output is correct
29 Correct 4 ms 852 KB Output is correct
30 Correct 5 ms 852 KB Output is correct
31 Correct 4 ms 852 KB Output is correct
32 Correct 4 ms 1108 KB Output is correct
33 Correct 6 ms 980 KB Output is correct
34 Correct 4 ms 980 KB Output is correct
35 Correct 4 ms 980 KB Output is correct
36 Correct 3 ms 1108 KB Output is correct
37 Correct 4 ms 980 KB Output is correct
38 Correct 4 ms 1236 KB Output is correct
39 Correct 3 ms 852 KB Output is correct
40 Correct 4 ms 1108 KB Output is correct
41 Correct 5 ms 852 KB Output is correct
42 Correct 4 ms 852 KB Output is correct
43 Correct 4 ms 1108 KB Output is correct
44 Correct 5 ms 784 KB Output is correct
45 Correct 447 ms 62732 KB Output is correct
46 Correct 366 ms 62264 KB Output is correct
47 Correct 351 ms 62156 KB Output is correct
48 Correct 350 ms 62560 KB Output is correct
49 Correct 320 ms 61912 KB Output is correct
50 Correct 316 ms 61772 KB Output is correct
51 Correct 357 ms 61996 KB Output is correct
52 Correct 331 ms 62432 KB Output is correct
53 Correct 357 ms 62368 KB Output is correct
54 Correct 543 ms 85400 KB Output is correct
55 Correct 546 ms 78384 KB Output is correct
56 Correct 478 ms 74656 KB Output is correct
57 Correct 504 ms 72072 KB Output is correct
58 Correct 397 ms 78572 KB Output is correct
59 Correct 410 ms 78428 KB Output is correct
60 Correct 318 ms 98976 KB Output is correct
61 Correct 324 ms 62456 KB Output is correct
62 Correct 451 ms 88520 KB Output is correct
63 Correct 346 ms 61908 KB Output is correct
64 Correct 308 ms 61432 KB Output is correct
65 Correct 482 ms 88992 KB Output is correct
66 Correct 338 ms 61676 KB Output is correct