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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#751313 | #6744. Square | XfJbUhpyzgaW# | AC ✓ | 60ms | 3656kb | C++17 | 1.5kb | 2024-11-15 18:04:55 | 2024-11-15 18:04:56 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define F(i, a, b) for (int i = (a), iee = (b); i <= iee; i++)
#define R(i, a, b) for (int i = (a), iee = (b); i >= iee; i--)
using ll = long long;
const int N = 100100;
int n, a[N];
ll b[N], x[N];
ll exgcd(ll a, ll b, ll &x, ll &y) {
if (!b) {
x = 1, y = 0;
return a;
}
ll g = exgcd(b, a % b, y, x);
y -= a / b * x;
return g;
}
int gt(ll x) {
ll l = 1, r = 2e9;
while (l < r - 1) {
ll t = (l + r) >> 1;
if (t * (t - 3) / 2 + 2 <= x)
l = t;
else
r = t;
}
//assert(l == floor(sqrt(x * 2) + 1.5));
return l;
}
pair<ll, ll> get(ll t) {
return {t * (t - 3) / 2 + 2, t * (t - 1) / 2};
}
ll calc(ll x, ll y) {
ll tx = gt(x), ty = gt(y);
auto gy = get(ty), gx = get(tx);
x += gy.second - gx.second;
ll ans = ty - tx + x - y;
if (x < y)
ans += gy.second - gy.first + 2;
return ans;
}
int main() {
cin.tie(0)->sync_with_stdio(0), cout.tie(0);
//F(i, 1, 20) cout << get(gt(i)).first << " "; cout << endl;
int T;
for (cin >> T; T; T--) {
ll x, y;
cin >> x >> y;
if (x >= y) { cout << x - y << "\n"; continue; }
auto gx = get(gt(x));
ll ans = calc(x, y);
if (x > 1) ans = min(ans, x - gx.first + 1 + calc(gx.first - 1, y));
cout << ans << "\n";
}
}
// y-1/2-sqrt(2y-2)<=x<y+1/2-sqrt(2y)
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3584kb
input:
2 5 1 1 5
output:
4 3
result:
ok 2 number(s): "4 3"
Test #2:
score: 0
Accepted
time: 60ms
memory: 3656kb
input:
100000 1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 1 10 1 11 1 12 1 13 1 14 1 15 1 16 1 17 1 18 1 19 1 20 1 21 1 22 1 23 1 24 1 25 1 26 1 27 1 28 1 29 1 30 1 31 1 32 1 33 1 34 1 35 1 36 1 37 1 38 1 39 1 40 1 41 1 42 1 43 1 44 1 45 1 46 1 47 1 48 1 49 1 50 1 51 1 52 1 53 1 54 1 55 1 56 1 57 1 58 1 59 1 60 1 ...
output:
0 2 1 4 3 2 6 5 4 3 8 7 6 5 4 10 9 8 7 6 5 12 11 10 9 8 7 6 14 13 12 11 10 9 8 7 16 15 14 13 12 11 10 9 8 18 17 16 15 14 13 12 11 10 9 20 19 18 17 16 15 14 13 12 11 10 22 21 20 19 18 17 16 15 14 13 12 11 24 23 22 21 20 19 18 17 16 15 14 13 12 26 25 24 23 22 21 20 19 18 1 0 2 2 1 3 4 3 2 4 6 5 4 3 5 ...
result:
ok 100000 numbers