A掉此题后我翻了几篇洛谷上的题解,发现大家的题解思路都比较高级,代码普遍特长,于是来写篇题解。
做法:贪心+模拟
大家似乎都是这个思路啊,没错,但我的思路应该算是最为简单的之一。
首先以油价位第一关键字,位置先后为第二关键字排序,然后从头到尾扫一遍,能加多少油就加多少油。
注意可以将起点终点当作中间站加入进去,以降低代码量。
AC代码:
#include <algorithm> #include <cstdio> double D, c, dis, cd, pri, d[12], p[12], go[12], ans = 0; int n; struct node { double d, p; int num; bool operator < (const node & b) const { if (p == b.p) return num < b.num; return p < b.p; } }sta[12]; signed main() { scanf("%lf%lf%lf%lf%d", &D, &c, &dis, &pri, &n); for (int i = 1; i <= n; ++i) { scanf("%lf%lf", &d[i], &sta[i].p); p[i] = sta[i].p; sta[i].num = i; } sta[n + 1].p = 99999, sta[n + 1].num = n + 1, d[n + 1] = D, p[n + 1] = 99999; sta[n + 2].p = pri, sta[n + 2].num = 0, d[0] = 0, p[0] = pri; std::sort(sta + 1, sta + n + 3); for (int i = 1; i <= n + 1; ++i) { int u = sta[i].num; double res = c - (go[u] / dis); for (int j = u + 1; j <= n + 1; ++j) { if (res <= 0) break; if (go[j - 1] == d[j] - d[j - 1]) continue; cd = (d[j] - d[j - 1] - go[j - 1]) / dis; if (res >= cd) res -= cd, go[j - 1] = d[j] - d[j - 1], ans += p[u] * cd; else go[j - 1] = res * dis, ans += p[u] * res, res = 0; } } for (int i = 0; i <= n; ++i) if (go[i] != d[i + 1] - d[i]) { puts("No Solution"); return 0; } printf("%.2lf", ans); return 0; }