个人排位赛--a 物理题,水题 URAL
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题目链接:https://vjudge.net/contest/167223#problem/C
Jack: Everyone stay calm! We're taking over the ship.Will: Aye! Avast!Officer: This ship cannot be crewed by two men. You'll never make it out of the bay.Jack: Son... I'm Captain Jack Sparrow. Savvy?And again Captain Jack Sparrow got into a scrape. In attempt to steal the first of three seals, which are neccessary to get the key to the treasure of the de Ficit family, he was seen by a watchful guard. Having run from a castle, where the first seal was, Jack immediately jumped into the nearest horse-drawn vehicle. Now he is rushing along the main road to an exit from fortress. At the end of the road there is a gate, a grille of which can start moving down at any moment.Now the vehicle is moving with constant speed v but at any moment Jack can release the horse. In this case the vehicle will start slowing down with constant deceleration a. Jack hopes to rush through the gate and don't want to release the horse until he sees that the gate starts closing. If guards of the gate hear an alert and, therefore, the grille starts moving down, Jack will have to decide whether he needs to release the horse.But there can be such situation that regardless of Jack's decision the vehicle will collide with the grille. In this case the vehicle will not rush through the grille nor stop before the line of the gate. The vehicle is quite slimsy so that it will fall to pieces after collision or even touching the grille. But, of course, it runs counter to Jack's plans. Help Jack determine whether guards of the gate can start closing the grille at such a moment that the vehicle will fall to pieces anyway.The height of the vehicle equals h, its length is l. The distance from the ground to the lower bound of the grille initially equals H. The grille at any moment can start moving down with constant speed x. At the beginning Jack is far enough from the gate, and the vehicle will stop before the gate without colliding if Jack releases the horse right away.
Input
In the first line of the input there are space separated integers l, h and H ( h < H). In the second line you are given v, x and a in the same format. All numbers in the input are positive integers and don’t exceed 1 000. l, h and H are given in centimetres, v and x are in centimetres per second, a is in centimetres per second squared.
Output
Output “Crash” if there is a moment of start of closing the grille that the vehicle will fall to pieces anyway. Otherwise output “Safe”.
Example
input output
1 1 10001 1 1000Safe1000 1 21000 1 1Crash
题意:
杰克船长又要逃跑了……现在他驾着马车匀速前进,要通过一道铁门,但是如果看到守卫开始放下门闸的话可能会勒马以恒定的加速度减速前进。已知马车车长,高度,行进速度,勒马后的加速度,还有门闸的初始高度,以及放门闸后门闸的下降速度,问是否存在这样一个时间点,在守卫放下门闸后,不管船长减速前进还是原速前进,都会撞上门闸或被门闸卡住。注意船长在门闸放下前是不会勒马的。
题解:
也就是求两段区间,在什么时候放下门闸,原速前进和减速前进会撞上,如果两段区间有重叠,说明存在这样的可能性。
#include<cstdio>#include<iostream>using namespace std;#define eps 1e-10int main(){ long long l,h,H,v,x,a; while(cin>>l>>h>>H>>v>>x>>a) { double aa = (double)(H-h)*v/x - l; //闸门下落过程中马车走过的距离减去车身 double bb = (double) v*v/2/a; //马车的刹车距离 if(aa<bb+eps)//小于等于的表示方式 printf("Crash\n"); else printf("Safe\n"); } // cout<<sum<<endl;}
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