oj.uz

Submission #984854

# Submission time Handle Problem Language Result Execution time Memory
984854 2024-05-17T07:18:41 Z pavement Escape Route 2 (JOI24_escape2) C++17
23 / 100
 214 ms 31596 KB 
#include <bits/stdc++.h>
using namespace std;

using ii = pair<int, int>;
using ll = long long;

#define mp make_pair
#define pb push_back
#define eb emplace_back

int N, T, Q, _idx, M[100005], min_width[100005], anc[25][100005];
ll dep[100005];
vector<int> idx[100005];
vector<ii> V[100005], rngs[100005];

ll f(int u, int k) {
	int v = u;
	for (int j = 20; j >= 0; j--) {
		if (k & (1 << j)) {
			v = anc[j][v];
		}
	}
	assert(v);
	return dep[u] - dep[v];
}

ll is(ii a, ii b, int lim) {
	int lo = 0, hi = lim, ret = (int)1e9;
	while (lo <= hi) {
		int mid = (lo + hi) / 2;
		if (f(a.first, mid) + a.second <= f(b.first, mid) + b.second) {
			ret = mid;
			hi = mid - 1;
		} else {
			lo = mid + 1;
		}
	}
	return ret;
}

int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	cin >> N >> T;
	for (int i = 1; i < N; i++) {
		cin >> M[i];
		min_width[i] = 2e9;
		for (int j = 0, a, b; j < M[i]; j++) {
			cin >> a >> b;
			min_width[i] = min(min_width[i], b - a);
			V[i].eb(a, b);
			idx[i].pb(++_idx);
		}
		sort(V[i].begin(), V[i].end());
		for (int j = (int)V[i].size() - 1, sf = (int)2e9; j >= 0; j--) {
			sf = min(sf, V[i][j].second);
			V[i][j].second = sf;
		}
	}
	for (int i = N - 2; i >= 1; i--) {
		for (int j = 0; j < M[i]; j++) {
			assert(!V[i + 1].empty());
			int tmp = lower_bound(V[i + 1].begin(), V[i + 1].end(), mp(V[i][j].second, -1)) - V[i + 1].begin();
			ii potential_to = mp(V[i + 1][0].second + T - V[i][j].second, idx[i + 1][0]);
			if (tmp < (int)V[i + 1].size()) {
				potential_to = min(potential_to, mp(V[i + 1][tmp].second - V[i][j].second, idx[i + 1][tmp]));
			}
			anc[0][idx[i][j]] = potential_to.second;
			for (int k = 1; k <= 20; k++) {
				if (anc[k - 1][idx[i][j]] == 0) {
					break;
				}
				anc[k][idx[i][j]] = anc[k - 1][anc[k - 1][idx[i][j]]];
			}
			dep[idx[i][j]] = dep[potential_to.second] + potential_to.first;
		}
	}
	for (int i = 1; i < N; i++) {
		int mn = *min_element(idx[i].begin(), idx[i].end());
		sort(idx[i].begin(), idx[i].end(), [&](const auto &lhs, const auto &rhs) {
			return V[i][lhs - mn].second > V[i][rhs - mn].second;
		});
		vector<ii> copy_V(V[i].begin(), V[i].end());
		for (int j = 0; j < M[i]; j++) {
			V[i][j] = copy_V[idx[i][j] - mn];
			while (rngs[i].size() > 1 && is(rngs[i][rngs[i].size() - 1], mp(idx[i][j], V[i][j].second - V[i][j].first), N - i - 1) <= is(rngs[i][rngs[i].size() - 2], rngs[i][rngs[i].size() - 1], N - i - 1)) {
				rngs[i].pop_back();
			}
			rngs[i].eb(idx[i][j], V[i][j].second - V[i][j].first);
		}
	}
	cin >> Q;
	for (int L, R; Q--; ) {
		cin >> L >> R;
		if (L + 1 == R) {
			cout << min_width[L] << '\n';
			continue;
		}
		ll ans = (ll)1e18;
		for (auto [x, y] : rngs[L]) {
			ans = min(ans, f(x, R - L - 1) + y);
		}
		cout << ans << '\n';
	}
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 10844 KB Output is correct
2 Correct 51 ms 11748 KB Output is correct
3 Correct 54 ms 16020 KB Output is correct
4 Correct 75 ms 16980 KB Output is correct
5 Correct 56 ms 16096 KB Output is correct
6 Correct 78 ms 16872 KB Output is correct
7 Correct 72 ms 16976 KB Output is correct
8 Correct 55 ms 15880 KB Output is correct
9 Correct 93 ms 16980 KB Output is correct

Subtask #2
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 10844 KB Output is correct
2 Correct 51 ms 11748 KB Output is correct
3 Correct 54 ms 16020 KB Output is correct
4 Correct 75 ms 16980 KB Output is correct
5 Correct 56 ms 16096 KB Output is correct
6 Correct 78 ms 16872 KB Output is correct
7 Correct 72 ms 16976 KB Output is correct
8 Correct 55 ms 15880 KB Output is correct
9 Correct 93 ms 16980 KB Output is correct
10 Correct 2 ms 10844 KB Output is correct
11 Incorrect 84 ms 16328 KB Output isn't correct
12 Halted 0 ms 0 KB -

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 10844 KB Output is correct
2 Correct 51 ms 11748 KB Output is correct
3 Correct 54 ms 16020 KB Output is correct
4 Correct 75 ms 16980 KB Output is correct
5 Correct 56 ms 16096 KB Output is correct
6 Correct 78 ms 16872 KB Output is correct
7 Correct 72 ms 16976 KB Output is correct
8 Correct 55 ms 15880 KB Output is correct
9 Correct 93 ms 16980 KB Output is correct
10 Correct 119 ms 25940 KB Output is correct
11 Correct 185 ms 31568 KB Output is correct
12 Correct 191 ms 31496 KB Output is correct
13 Correct 174 ms 30544 KB Output is correct
14 Correct 184 ms 31588 KB Output is correct
15 Correct 201 ms 31596 KB Output is correct
16 Correct 124 ms 25804 KB Output is correct
17 Correct 214 ms 31568 KB Output is correct
18 Correct 85 ms 27428 KB Output is correct
19 Correct 85 ms 27104 KB Output is correct
20 Correct 88 ms 27468 KB Output is correct
21 Correct 84 ms 27472 KB Output is correct

Subtask #4
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 10844 KB Output is correct
2 Correct 51 ms 11748 KB Output is correct
3 Correct 54 ms 16020 KB Output is correct
4 Correct 75 ms 16980 KB Output is correct
5 Correct 56 ms 16096 KB Output is correct
6 Correct 78 ms 16872 KB Output is correct
7 Correct 72 ms 16976 KB Output is correct
8 Correct 55 ms 15880 KB Output is correct
9 Correct 93 ms 16980 KB Output is correct
10 Correct 2 ms 10844 KB Output is correct
11 Incorrect 84 ms 16328 KB Output isn't correct
12 Halted 0 ms 0 KB -

Subtask #5
0 / 36.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 10672 KB Output is correct
2 Correct 2 ms 10844 KB Output is correct
3 Incorrect 183 ms 15528 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #6
0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 10844 KB Output is correct
2 Correct 51 ms 11748 KB Output is correct
3 Correct 54 ms 16020 KB Output is correct
4 Correct 75 ms 16980 KB Output is correct
5 Correct 56 ms 16096 KB Output is correct
6 Correct 78 ms 16872 KB Output is correct
7 Correct 72 ms 16976 KB Output is correct
8 Correct 55 ms 15880 KB Output is correct
9 Correct 93 ms 16980 KB Output is correct
10 Correct 2 ms 10844 KB Output is correct
11 Incorrect 84 ms 16328 KB Output isn't correct
12 Halted 0 ms 0 KB -