QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#139399 | #6744. Square | ZZQ323 | AC ✓ | 69ms | 3484kb | C++14 | 3.0kb | 2023-08-13 12:19:44 | 2023-08-13 12:19:46 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
#define ll int64_t
#define pii pair<int ,int >
#define pllll pair<ll ,ll >
#define p(x,y) pair<x,y>
#define mkp make_pair
//得到坐标,但是并不是矩形坐标,而是数字三角形的坐标
/*
pllll getcoord(ll z)
{
ll x=0;
//这个写法是什么,倍增倍减吗?
//二进制优化,基的概念去表示一个数字
for(int i=1<<30;i;i>>=1){
if( (x|i)*((x|i)+1)/2 <= z )
x|=i;
}
//x是指行数
return {x,z-x*(x+1)/2};
}
void solve()
{
int64_t x, y;
cin >> x >> y;
if (x > y) {
cout << x - y << '\n';
return;
}
auto [sx, sy] = getCoord(x - 1);
auto [tx, ty] = getCoord(y - 1);
int64_t ans = 1e18;
debug(sx, sy);
debug(tx, ty);
assert (sx <= tx);
if (tx - ty >= sx - sy) {
ans = min(ans, tx - sx + ((tx - ty) - (sx - sy)));
}
{
ans = min(ans, tx - sx + 1 + (tx - ty) + (sy + 1));
}
cout << ans << '\n';
}
*/
ll mysqrt(ll x){ll s=max(0ll,(ll)sqrt(x)-3ll);while( (s+1)*(s+1)<=x )++s;return s;}
ll upstep(ll x){return (mysqrt(x<<3)+3)/2;}
ll mmul(ll a,ll b){if ((double)a * b > 6e18)return 6e18;else return a*b;}
ll jump(ll x,ll cnt){ll s=upstep(x);return x+mmul(cnt,s+s+cnt-1)/2;}
ll prev_crit(ll x)
{
ll n=mysqrt(x<<1)+5;
while(n*(n+1)/2+1 > x)--n;
return n*(n+1)/2+1;
}
signed main(int argc,char** argv)
{
ios::sync_with_stdio(false);
int T;
cin>>T;
while(T--)
{
ll x,y;
cin>>x>>y;
if(x>=y){
cout<<x-y<<'\n';
continue;;
}
ll r=1;
while(jump(x,r) < y)r<<=1;
ll l=0;
while(r-l>1)
{
ll mid=l+r>>1;
if( jump(x,mid) < y )l=mid;
else r=mid;
}
ll ss=r;
ll ans=0;
while(1)
{
//目标和左端点相差多远
ll diff=jump(x,ss)-y;
//压根没差,直接中奖
if(!diff)break;
//左端点的数值pre
ll pre=prev_crit(x);
if(diff<=x-pre)
{//如果还能待在这里层数
x-=diff;
ans+=diff;
break;
}
ans+=x-pre;
//x调整为左端点,继续跳步
x=pre;
//目标和左端点相差多远
diff = jump(x,ss)-y;
//压根没差,直接中奖
if(!diff)break;
//如果x跳步后和目标多出来的的数值还比跳的次数多
//那就选择减小,这样更优
if(ss+1<=diff)
{
--x;
++ans;
continue;
}
//否则如果贸然减小的话造成的影响会
ans+=diff;
break;
}
cout<<ans+ss<<'\n';
}
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3420kb
input:
2 5 1 1 5
output:
4 3
result:
ok 2 number(s): "4 3"
Test #2:
score: 0
Accepted
time: 69ms
memory: 3484kb
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