【OpenJudge 8463】Stupid cat & Doge
http://noi.openjudge.cn/ch0204/8463/
挺恶心的一道简单分治。
一开始准备非递归。
大if判断,后来发现代码量过长,决定大打表判断后继情况,后来发现序号不对称。
最后发现非递归分治非常不可做。
采用递归和坐标变换,降低了编程复杂度和思维复杂度。
坐标变换的思想十分的清晰啊!它是个好东西啊,以后要善用。
#include<cmath>
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
typedef long long ll;
ll in() {
ll k = 0; char c = getchar();
for (; c < '0' || c > '9'; c = getchar());
for (; c >= '0' && c <= '9'; c = getchar())
k = k * 10 + c - 48;
return k;
}
void get(ll n, ll num, ll &x, ll &y) {
if (n == 1) {
if (num == 1)
x = 1, y = 1;
else if (num == 2)
x = 1, y = 2;
else if (num == 3)
x = 2, y = 2;
else
x = 2, y = 1;
return;
}
ll midb, mida, mid, right = 1LL << (n * 2), xx, yy;
mid = right >> 1;
midb = mid >> 1;
mida = mid + midb;
if (num <= midb) {
get(n - 1, num, xx, yy);
x = yy; y = xx;
} else if (num <= mid) {
get(n - 1, num - midb, xx, yy);
x = xx; y = yy + (1LL << (n - 1));
} else if (num <= mida) {
get(n - 1, num - mid, xx, yy);
x = xx + (1LL << (n - 1)); y = yy + (1LL << (n - 1));
} else {
get(n - 1, num - mida, xx, yy);
x = (1LL << n) + 1 - yy; y = (1LL << (n - 1)) + 1 - xx;
}
}
double sqr(double x) {return x * x;}
ll T, n, S, D, Sx, Sy, Dx, Dy;
int main() {
T = in();
while (T--) {
n = in(); S = in(); D = in();
get(n, S, Sx, Sy);// printf("%I64d %I64d ", Sx, Sy);
get(n, D, Dx, Dy);// printf("%I64d %I64d\n", Dx, Dy);
printf("%.0lf\n", sqrt(sqr(10.0 * (Sx - Dx)) + sqr(10.0 * (Sy - Dy))));
}
return 0;
}
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