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ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#624702 | #9427. Collect the Coins | ucup-team2000 | TL | 0ms | 3816kb | C++23 | 2.7kb | 2024-10-09 16:27:30 | 2024-10-09 16:27:31 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int maxn = 1e6 + 100;
ll n;
pair<ll, ll> vec[maxn];
bool check(ll V) {
vector<bool> dp(n + 1);
multiset<pair<ll, ll>> all;
auto valid = [&](ll i, ll j) {
auto [t1, p1] = vec[i];
auto [t2, p2] = vec[j];
return abs(p1 - p2) <= abs(t1 - t2) * V;
};
auto insert = [&](ll pos) {
auto [t, p] = vec[pos];
// insert (p - tV, -p-tV)
// ...
auto x = p - t * V;
auto y = -p - t * V;
while (all.size()) {
auto it = all.lower_bound({x + 1, -3e18});
if (it == all.begin()) break;
auto [tx, ty] = *(--it);
if (ty <= y) all.extract({tx, ty});
}
bool flag = true;
if (all.size()) {
auto rit = all.lower_bound({x, y});
if (rit == all.end())
flag = true;
else {
auto [tx, ty] = *rit;
if (ty < y)
flag = true;
else
flag = false;
}
}
if (flag) all.insert({x, y});
};
for (int i = 2; i < n; i++) {
if (!valid(i - 1, i)) break;
dp[i + 1] = true;
}
// check st = 2, i = 3?
dp[2] = true;
for (ll i = 3; i <= n; i++) {
if (!valid(i - 2, i - 1)) {
all.clear();
}
// cout << "addr2" << endl;
if (dp[i - 1]) insert(i - 2);
// j-1
auto [qt, qp] = vec[i];
auto qx = qp - qt * V;
auto qy = -qp - qt * V;
auto it = all.lower_bound({qx, qy});
if (it != all.end()) {
auto [tx, ty] = *it;
if (ty >= qy) dp[i] = true;
}
}
for (int temp = n; temp >= 1; temp--) {
if (temp < n and !valid(temp, temp + 1)) break;
if (dp[temp]) return true;
}
return false;
};
void solve() {
cin >> n;
for (ll i = 1; i <= n; i++) {
cin >> vec[i].first >> vec[i].second;
}
unordered_set<ll> all_pos;
for (ll i = 1; i <= n; i++) {
all_pos.insert(vec[i].second);
}
if (all_pos.size() <= 2) {
cout << 0 << '\n';
return;
}
ll L = 1, R = 1e9 + 100;
while (L < R) {
ll mid = (L + R) / 2;
if (check(mid))
R = mid;
else
L = mid + 1;
}
if (L > 1e9) L = -1;
cout << L << '\n';
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
ll t;
cin >> t;
while (t--) {
solve();
}
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3816kb
input:
3 5 1 1 3 7 3 4 4 3 5 10 1 10 100 3 10 100 10 1000 10 10000
output:
2 0 -1
result:
ok 3 lines
Test #2:
score: -100
Time Limit Exceeded
input:
1135 2 6 5 8 8 8 2 9 2 10 4 4 5 3 6 2 6 8 8 2 8 7 1 9 1 6 4 6 6 1 6 2 9 10 10 1 10 7 5 1 6 2 5 6 7 8 6 10 3 8 1 10 5 4 5 7 6 1 6 6 8 4 9 1 9 4 8 1 1 1 3 2 9 3 3 5 9 6 10 9 7 10 7 3 5 8 6 6 10 6 7 2 9 4 7 5 10 6 3 6 7 8 9 10 1 6 1 4 2 8 5 9 7 10 9 1 10 5 9 2 7 4 5 5 9 6 10 7 4 9 4 9 9 10 3 10 7 1 3 1...