📄 1143.cpp
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/* This Code is Submitted by wywcgs for Problem 1143 on 2006-01-04 at 15:16:16 */
#include <cstdio>
#include <cstdlib>
int gcd(int, int);
int main()
{
int n, x, y;
int t, T, i;
scanf("%d", &T);
for(t = 1; t <= T; t++) {
scanf("%d", &n);
x = y = 0;
int A = 0, E = 0;
for(i = 0; i < n; i++) {
int dx, dy, d;
scanf("%d %d", &dx, &dy);
A += x * (y + dy) - y * (x + dx);
x += dx, y += dy; dx = abs(dx); dy = abs(dy);
if(dx*dy == 0) E += dx + dy;
else {
int r = 1;
while((d = gcd(dx, dy)) != 1) dx /= d, dy /= d, r *= d;
E += r;
}
}
A = abs(A);
int I = (A - E) / 2 + 1;
printf("Scenario #%d:\n", t);
printf("%d %d %.1lf\n\n", I, E, (double)A/2);
}
return 0;
}
int gcd(int a, int b)
{
if(b == 0) return a;
else return gcd(b, a%b);
}
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