题目大意:给出桌子的大小L,W,然后是球的起始位置sx,sy,以及移动的向量dx,dy。然后给出n。表示有n个杆,对于每一个杆。先给出位置x,以及杆上有多少个小人c,给出小人的宽度。再给出c个小人间的距离。如今问说球有多少个概率能够串过全部人。

解题思路。对于每一个杆求无阻挡的概率。注意概率 = 空隙 / 可移动的范围大小,而不是W。其它就水水的。

#include <cstdio>
#include <cstring>
#include <cmath>
#include <algorithm>

using namespace std;
const double eps = 1e-8;
const int N = 205;

double L, W;
double sx, sy, dx, dy;
double d[N];

double solve () {

int n, c;
double w, ans = 1;

scanf("%d", &n);

while (n--) {
scanf("%lf%d", &w, &c);
double r = sy + w * dy / dx;
double s = 0;
c = 2 * c - 1;

for (int i = 0; i < c; i += 2)
scanf("%lf", &d[i]);
for (int i = 1; i < c; i += 2)
scanf("%lf", &d[i]);
for (int i = 0; i < c; i++)
s += d[i];

double l = W - r;
double rec = 0;

if (l > s) {
rec += (l - s);
l = 0;
} else {
l = s - l;
}

if (r > s) {
rec += (r - s);
r = s;
}


s = 0;
for (int i = 0; i < c; i++) {
double tmp = s + d[i];
if (i&1) {
double add = min(r, tmp) - max(s, l);
rec += max(add, (double)0);
}
s = tmp;
}

ans *= rec / (W-s);
}
return ans;
}

int main () {
int cas;
scanf("%d", &cas);
for (int i = 1; i <= cas; i++) {
scanf("%lf%lf", &L, &W);
scanf("%lf%lf%lf%lf", &sx, &sy, &dx, &dy);
printf("Case #%d: %.5lf\n", i, solve());
}
return 0;
}