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Submission #470536

# Submission time Handle Problem Language Result Execution time Memory
470536 2021-09-04T07:35:18 Z Namnamseo Constellation 3 (JOI20_constellation3) C++17
100 / 100
 1278 ms 90132 KB 
#include <algorithm>
#include <cassert>
#include <iostream>
#include <map>
#include <vector>
using namespace std;
using ll=long long;
using pp=pair<int,int>;
const int maxn = int(2e5) + 10;

int n;
int a[maxn];

map<pp,int> gnum; int gn;

struct Sparse {
	pp tx[20][maxn];

	void build() {
		for (int i=1; i<=n; ++i) tx[0][i] = {a[i], i};
		for (int i=1; i<=19; ++i) for (int j=1; j<=n; ++j) {
			tx[i][j] = tx[i-1][j];
			if (j+(1<<(i-1)) <= n) {
				tx[i][j] = max(tx[i][j], tx[i-1][j+(1<<(i-1))]);
			}
		}
	}

	int maxi(int l, int r) {
		int w = r-l+1;
		for (int i=0;;++i) if (2*(1<<i) >= w) {
			return max(tx[i][l], tx[i][r-(1<<i)+1]).second;
		}
	}

	int wrap_v(int x, int y) {
		int l = x, r = x;
		for (int i=19; 0<=i; --i) {
			int tl = l - (1<<i);
			if (1 <= tl && tx[i][tl].first < y) l = tl;
			int tr = r + (1<<i);
			if (tr <= n && tx[i][r+1].first < y) r = tr;
		}
		return gnum[{l, r}];
	}
} tree;

vector<int> te[maxn];
int root;
vector<pp> paths[maxn];
int gdfs(int l, int r) {
	int me = ++gn; gnum[{l, r}] = me;
	if (l == r) return me;
	int i = tree.maxi(l, r);
	if (l < i) te[me].push_back(gdfs(l, i-1));
	if (i < r) te[me].push_back(gdfs(i+1, r));
	return me;
}

int tin[maxn], tout[maxn], nt;
void tdfs1(int x) {
	tin[x] = ++nt; for (int y : te[x]) tdfs1(y); tout[x] = nt;
}

ll dp[maxn];
struct It {
	const static int M = 262144;
	ll t[M<<1];
	void upd(int l, int r, ll v) {
		for (l+=M, r+=M; l<=r; l/=2, r/=2) {
			if (l%2==1) t[l++] += v;
			if (r%2==0) t[r--] += v;
		}
	}
	ll get(int p) { ll ret = 0;
		for (p+=M; p; p/=2) ret += t[p];
		return ret;
	}
} giveup;

void tdfs2(int x) {
	ll cds = 0;
	for (int y:te[x]) tdfs2(y), cds += dp[y];
	ll mdf = 0;
	for (auto &tmp:paths[x]) {
		int to, c; tie(to, c) = tmp;
		mdf = max(mdf, c + giveup.get(tin[to]));
	}
	dp[x] = cds + mdf;
	giveup.upd(tin[x], tout[x], -mdf);
}

int main() { cin.tie(0)->sync_with_stdio(0);
	cin >> n; for (int i=1; i<=n; ++i) cin >> a[i];
	tree.build();

	ll csum = 0;
	root = gdfs(1, n);
	{ int m; cin >> m;
	for (;m--;) {
		int x, y, c; cin >> x >> y >> c; csum += c;
		int up = tree.wrap_v(x, y), down = tree.wrap_v(x, a[x]+1);
		paths[up].push_back({down, c});
	} }

	tdfs1(root);
	tdfs2(root);

	ll ans = csum - dp[root];
	cout << ans << '\n';

	return 0;
}

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9932 KB Output is correct
2 Correct 6 ms 9932 KB Output is correct
3 Correct 6 ms 9996 KB Output is correct
4 Correct 6 ms 9932 KB Output is correct
5 Correct 6 ms 9932 KB Output is correct
6 Correct 6 ms 9932 KB Output is correct
7 Correct 6 ms 9932 KB Output is correct
8 Correct 6 ms 9932 KB Output is correct
9 Correct 6 ms 9932 KB Output is correct
10 Correct 6 ms 9932 KB Output is correct
11 Correct 6 ms 9932 KB Output is correct
12 Correct 6 ms 9932 KB Output is correct
13 Correct 6 ms 9932 KB Output is correct
14 Correct 6 ms 9996 KB Output is correct
15 Correct 6 ms 9932 KB Output is correct
16 Correct 6 ms 10004 KB Output is correct
17 Correct 6 ms 9932 KB Output is correct
18 Correct 6 ms 9988 KB Output is correct
19 Correct 6 ms 9992 KB Output is correct
20 Correct 6 ms 9940 KB Output is correct
21 Correct 6 ms 9932 KB Output is correct
22 Correct 6 ms 9932 KB Output is correct

Subtask #2
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9932 KB Output is correct
2 Correct 6 ms 9932 KB Output is correct
3 Correct 6 ms 9996 KB Output is correct
4 Correct 6 ms 9932 KB Output is correct
5 Correct 6 ms 9932 KB Output is correct
6 Correct 6 ms 9932 KB Output is correct
7 Correct 6 ms 9932 KB Output is correct
8 Correct 6 ms 9932 KB Output is correct
9 Correct 6 ms 9932 KB Output is correct
10 Correct 6 ms 9932 KB Output is correct
11 Correct 6 ms 9932 KB Output is correct
12 Correct 6 ms 9932 KB Output is correct
13 Correct 6 ms 9932 KB Output is correct
14 Correct 6 ms 9996 KB Output is correct
15 Correct 6 ms 9932 KB Output is correct
16 Correct 6 ms 10004 KB Output is correct
17 Correct 6 ms 9932 KB Output is correct
18 Correct 6 ms 9988 KB Output is correct
19 Correct 6 ms 9992 KB Output is correct
20 Correct 6 ms 9940 KB Output is correct
21 Correct 6 ms 9932 KB Output is correct
22 Correct 6 ms 9932 KB Output is correct
23 Correct 8 ms 10484 KB Output is correct
24 Correct 9 ms 10528 KB Output is correct
25 Correct 8 ms 10512 KB Output is correct
26 Correct 9 ms 10444 KB Output is correct
27 Correct 9 ms 10444 KB Output is correct
28 Correct 9 ms 10432 KB Output is correct
29 Correct 9 ms 10424 KB Output is correct
30 Correct 9 ms 10444 KB Output is correct
31 Correct 8 ms 10512 KB Output is correct
32 Correct 8 ms 10620 KB Output is correct
33 Correct 8 ms 10508 KB Output is correct
34 Correct 8 ms 10516 KB Output is correct
35 Correct 9 ms 10572 KB Output is correct
36 Correct 8 ms 10572 KB Output is correct
37 Correct 9 ms 10664 KB Output is correct
38 Correct 8 ms 10644 KB Output is correct
39 Correct 8 ms 10444 KB Output is correct
40 Correct 8 ms 10572 KB Output is correct
41 Correct 10 ms 10512 KB Output is correct
42 Correct 8 ms 10468 KB Output is correct
43 Correct 9 ms 10572 KB Output is correct
44 Correct 9 ms 10444 KB Output is correct

Subtask #3
65.0 / 65.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9932 KB Output is correct
2 Correct 6 ms 9932 KB Output is correct
3 Correct 6 ms 9996 KB Output is correct
4 Correct 6 ms 9932 KB Output is correct
5 Correct 6 ms 9932 KB Output is correct
6 Correct 6 ms 9932 KB Output is correct
7 Correct 6 ms 9932 KB Output is correct
8 Correct 6 ms 9932 KB Output is correct
9 Correct 6 ms 9932 KB Output is correct
10 Correct 6 ms 9932 KB Output is correct
11 Correct 6 ms 9932 KB Output is correct
12 Correct 6 ms 9932 KB Output is correct
13 Correct 6 ms 9932 KB Output is correct
14 Correct 6 ms 9996 KB Output is correct
15 Correct 6 ms 9932 KB Output is correct
16 Correct 6 ms 10004 KB Output is correct
17 Correct 6 ms 9932 KB Output is correct
18 Correct 6 ms 9988 KB Output is correct
19 Correct 6 ms 9992 KB Output is correct
20 Correct 6 ms 9940 KB Output is correct
21 Correct 6 ms 9932 KB Output is correct
22 Correct 6 ms 9932 KB Output is correct
23 Correct 8 ms 10484 KB Output is correct
24 Correct 9 ms 10528 KB Output is correct
25 Correct 8 ms 10512 KB Output is correct
26 Correct 9 ms 10444 KB Output is correct
27 Correct 9 ms 10444 KB Output is correct
28 Correct 9 ms 10432 KB Output is correct
29 Correct 9 ms 10424 KB Output is correct
30 Correct 9 ms 10444 KB Output is correct
31 Correct 8 ms 10512 KB Output is correct
32 Correct 8 ms 10620 KB Output is correct
33 Correct 8 ms 10508 KB Output is correct
34 Correct 8 ms 10516 KB Output is correct
35 Correct 9 ms 10572 KB Output is correct
36 Correct 8 ms 10572 KB Output is correct
37 Correct 9 ms 10664 KB Output is correct
38 Correct 8 ms 10644 KB Output is correct
39 Correct 8 ms 10444 KB Output is correct
40 Correct 8 ms 10572 KB Output is correct
41 Correct 10 ms 10512 KB Output is correct
42 Correct 8 ms 10468 KB Output is correct
43 Correct 9 ms 10572 KB Output is correct
44 Correct 9 ms 10444 KB Output is correct
45 Correct 892 ms 73532 KB Output is correct
46 Correct 850 ms 72988 KB Output is correct
47 Correct 911 ms 72132 KB Output is correct
48 Correct 875 ms 73724 KB Output is correct
49 Correct 842 ms 71684 KB Output is correct
50 Correct 833 ms 71628 KB Output is correct
51 Correct 870 ms 71744 KB Output is correct
52 Correct 864 ms 73196 KB Output is correct
53 Correct 855 ms 73112 KB Output is correct
54 Correct 1218 ms 83784 KB Output is correct
55 Correct 1193 ms 79572 KB Output is correct
56 Correct 1278 ms 77116 KB Output is correct
57 Correct 1185 ms 75760 KB Output is correct
58 Correct 930 ms 79636 KB Output is correct
59 Correct 972 ms 79428 KB Output is correct
60 Correct 324 ms 90132 KB Output is correct
61 Correct 962 ms 73172 KB Output is correct
62 Correct 1199 ms 84432 KB Output is correct
63 Correct 932 ms 71868 KB Output is correct
64 Correct 903 ms 70952 KB Output is correct
65 Correct 1197 ms 84968 KB Output is correct
66 Correct 909 ms 71236 KB Output is correct