原题链接:蓝桥杯2023年第十四届省赛真题-平方差
#include <bits/stdc++.h>
#define int long long
#define debuga(v, i) cout << #v << "[" << i << "]" << " = " << v[i] << '\n';
#define debug(x) cout << #x << " = " << x << '\n';
#define PI 3.1415926
#define INF 0x3f3f3f3f
using namespace std;
void solve() {
int n, a, b;
cin >> n;
int res_min = -INF;
int res_max = INF;
for (int i = 1; i <= n; i ++ ) {
cin >> a >> b;
res_min = max(a / (b + 1), res_min);
res_max = min(a / b, res_max);
}
cout << res_min + 1 << " " << res_max << '\n';
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
int T = 1;
// cin >> T;
while (T --) {
solve();
}
return 0;
}方法二:
#include <bits/stdc++.h>
#define int long long
#define debuga(v, i) cout << #v << "[" << i << "]" << " = " << v[i] << '\n';
#define debug(x) cout << #x << " = " << x << '\n';
#define PI 3.1415926
#define INF 0x3f3f3f3f
using namespace std;
vector<pair<int, int>> v;
bool check1(int mid) {
for (auto t : v) {
if (t.first / mid >= t.second + 1) return false; // 说明mid太小了,l = mid + 1;
}
return true;
}
bool check2(int mid) {
for (auto t : v) {
if (t.first / mid <= t.second - 1) return false; // 说明mid太大了, r = mid - 1;
}
return true;
}
void solve() {
v.reserve(100);
int n;
cin >> n;
for (int i = 0; i < n; i++) {
int a, b;
cin >> a >> b;
v.push_back({a, b});
}
int l = 0;
int r = 1e9;
while (l < r) {
int mid = (l + r) >> 1;
if (check1(mid)) r = mid;
else l = mid + 1;
}
int res_min = l;
// 将left修改为lower_bound,right修改为upper_bound
int lower_bound = 0;
int upper_bound = 1e9;
while (lower_bound < upper_bound) {
int mid = (lower_bound + upper_bound + 1) >> 1;
if (check2(mid)) lower_bound = mid;
else upper_bound = mid - 1;
}
int res_max = lower_bound;
cout << res_min << " " << res_max << '\n';
}
signed main() {
ios::sync_with_stdio(false);
cin.tie(0);
int T = 1;
// cin >> T;
while (T--) {
solve();
}
return 0;
}0.0分
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