題目連接:bnu 34986 Football on Table
題目大意:給出桌子的大小L,W,然後是球的起始位置sx,sy,以及移動的向量dx,dy,然後給出n,表示有n個桿,對於每個桿,先給出位置x,以及桿上有多少個小人c,給出小人的寬度,再給出c個小人間的距離。現在問說球有多少個概率可以串過所有人。
解題思路;對於每個桿求無阻擋的概率,注意概率 = 空隙 / 可移動的范圍大小,而不是W。其他就水水的。
#include
#include
#include
#include
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;
}