The Snail |
A snail is at the bottom of a 6-foot well and wants to climb to the top. The snail can climb 3 feet while the sun is up, but slides down 1 foot at night while sleeping. The snail has a fatigue factor of 10%, which means that on each successive day the snail climbs 10% 3 = 0.3 feet less than it did the previous day. (The distance lost to fatigue is always 10% of the first day's climbing distance.) On what day does the snail leave the well, i.e., what is the first day during which the snail's height exceeds 6 feet? (A day consists of a period of sunlight followed by a period of darkness.) As you can see from the following table, the snail leaves the well during the third day.
Day | Initial Height | Distance Climbed | Height After Climbing | Height After Sliding |
1 | 0' | 3' | 3' | 2' |
2 | 2' | 2.7' | 4.7' | 3.7' |
3 | 3.7' | 2.4' | 6.1' | - |
Your job is to solve this problem in general. Depending on the parameters of the problem, the snail will eventually either leave the well or slide back to the bottom of the well. (In other words, the snail's height will exceed the height of the well or become negative.) You must find out which happens first and on what day.
For each test case, output a line indicating whether the snail succeeded (left the well) or failed (slid back to the bottom) and on what day. Format the output exactly as shown in the example.
6 3 1 10 10 2 1 50 50 5 3 14 50 6 4 1 50 6 3 1 1 1 1 1 0 0 0 0
success on day 3 failure on day 4 failure on day 7 failure on day 68 success on day 20 failure on day 2题目大意:蜗牛爬井口的故事都听说过吧, 就是给出高度,第一天爬的距离,和晚上下滑的距离。还有一个百分数,*第一天爬的距离就是每天上升距离的下降值。
解题思路:模拟啊(注意下降值是不变的)
#include<stdio.h> int main(){ double high, up, down, f; while (scanf("%lf%lf%lf%lf", &high, &up, &down, &f), high && up && down && f){ f = up * f / 100.0; double dis = 0; for (int i = 1; ; i++){ if (up > 0) dis += up; if (dis > high){ printf("success on day %d\n", i); break; } dis -= down; up -= f; if (dis < 0){ printf("failure on day %d\n", i); break; } } } return 0;}