📄 3209045_ac_16ms_324k.cc
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#include <stdio.h>
#include <string.h>
#include <algorithm>
#include <math.h>
using namespace std;
const int N = 1000;
const double EPS = 1e-7;
struct E { double a, b; } e[N];
int n, d;
bool ava[N];
double p[N];
inline int dblcmp(double a, double b) {
if( fabs(a-b) < EPS ) return 0;
if( a-b > 0 ) return 1;
return -1;
}
bool operator<(const E& a, const E& b) {
if(dblcmp(a.a, b.a) == 0)
return dblcmp(a.b, b.b) == 1;
return dblcmp(a.a, b.a) == -1;
}
int main() {
int i, j, x, y;
int tc = 0;
while(scanf("%d %d", &n, &d), n + d) {
tc++;
int ok = 1;
for(i = 0; i < n; ++i) {
scanf("%d %d", &x, &y);
if(y > d) ok = 0;
double offset = sqrt ( d * d - y * y );
e[i].a = x - offset, e[i].b = x + offset;
ava[i] = 1;
}
if(!ok) { printf("Case %d: -1\n", tc); continue; }
sort(e, e + n);
int stack[N], top = 0;
stack[top++] = 0;
for(i = 1; i < n; ++i) {
while(top > 0 && dblcmp(e[stack[top-1]].b, e[i].b) != -1) {
ava[stack[--top]] = 0;
}
stack[top++] = i;
}
for(i = 0; !ava[i]; ++i);
p[i] = e[i].b;
int cnt = 1;
for(i = i+1; i < n; ++i) if(ava[i]) {
for(j = i-1; !ava[j]; j--);
if(p[j] >= e[i].a) p[i] = p[j];
else { p[i] = e[i].b; cnt++; }
}
printf("Case %d: %d\n", tc, cnt);
}
return 0;
}
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