【题目链接】:
【题意】
你在t秒内可以将车的速度任意增加减少绝对值不超过d; 然后要求在一开始车速为v1,t秒之后车速变为v2; 问你这段t时间内,车最多能行驶多远。【题解】
枚举车“最大速度”v 看看车到达这个速度之后,然后回到速度v2(也就是说v是可能小于v2的,所以最大速度加了引号”)看看可不可行; 如果能在到达最大速度之后又回到速度v2(在t时间内); 那么记下回到v2的时间t1 在到达v和回到v2这段时间内的位移+(t-t1)*max(v,v2)就是答案了 【完整代码】#includeusing namespace std;#define lson l,m,rt<<1#define rson m+1,r,rt<<1|1#define LL long long#define rep1(i,a,b) for (int i = a;i <= b;i++)#define rep2(i,a,b) for (int i = a;i >= b;i--)#define mp make_pair#define pb push_back#define fi first#define se second#define rei(x) scanf("%d",&x)#define rel(x) scanf("%lld",&x)#define ref(x) scanf("%lf",&x)typedef pair pii;typedef pair pll;const int dx[9] = { 0,1,-1,0,0,-1,-1,1,1 };const int dy[9] = { 0,0,0,-1,1,-1,1,-1,1 };const double pi = acos(-1.0);const int N = 110;int v1, v2, t, d,ans = 0;int main(){ //freopen("F:\\rush.txt", "r", stdin); rei(v1), rei(v2), rei(t), rei(d); rep1(v, v1, v1 + t*d) { int temp = 0; int now = 0, vv = v1; while (vv < v) { temp += vv; vv += d; vv = min(vv, v); now++; if (now > t) break; } if (now > t) continue; if (vv < v2) { while (vv < v2) { temp += vv; vv += d; vv = min(vv, v2); now++; if (now > t) break; } if (now > t) continue; now++; temp += vv; } else if (vv > v2) { while (vv > v2) { temp += vv; vv -= d; vv = max(vv, v2); now++; if (now > t) break; } if (now > t) continue; now++; temp += vv; } else if (vv == v2) { now++; temp += vv; } temp += max(v, vv)*(t - now); ans = max(ans, temp); } printf("%d\n", ans); //printf("\n%.2lf sec \n", (double)clock() / CLOCKS_PER_SEC); return 0;}