Gary is an avid hiker. He tracks his hikes meticulously, paying close attention to small details like topography. During his last hike he took exactly steps. For every step he took, he noted if it was an uphill, , or a downhill, step. Gary's hikes start and end at sea level and each step up or down represents a unit change in altitude. We define the following terms:
Given Gary's sequence of up and down steps during his last hike, find and print the number of valleys he walked through.
For example, if Gary's path is , he first enters a valley units deep. Then he climbs out an up onto a mountain units high. Finally, he returns to sea level and ends his hike.
Function Description
Complete the countingValleys function in the editor below. It must return an integer that denotes the number of valleys Gary traversed.
countingValleys has the following parameter(s):
Input Format
The first line contains an integer , the number of steps in Gary's hike.
The second line contains a single string , of characters that describe his path.
Constraints
Output Format
Print a single integer that denotes the number of valleys Gary walked through during his hike.
Sample Input
8
UDDDUDUU
Sample Output
1
Explanation
If we represent _
as sea level, a step up as /
, and a step down as \
, Gary's hike can be drawn as:
_/\ _
\ /
\/\/
He enters and leaves one valley.
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以上问题其实就是寻找波谷的问题,注意的是,一定是从0开始,到0结束。根据每个步的动作,求和可以得到曲线。思路是得到曲线之后,找到零点数量,当这个零点是从小于0而来的时候,就记录为一个山谷,否则就是山峰。
整体代码如下:
#include
#include
#include
#include
#include
#include
#include
#include
#include
char* readline();
// Complete the countingValleys function below.
int countingValleys(int n, char* s) {
int sum=0,dir=0;
int COUNT;
for(int i=0;i { if(s[i]=='U') sum++; if(s[i]=='D') sum--; if(sum==0) { if(dir==-1) { COUNT++; } dir=0; } else if(sum<0) { dir = -1; } else { dir = 1; } } return COUNT; } int main() { FILE* fptr = fopen(getenv("OUTPUT_PATH"), "w"); char* n_endptr; char* n_str = readline(); int n = strtol(n_str, &n_endptr, 10); if (n_endptr == n_str || *n_endptr != '\0') { exit(EXIT_FAILURE); } char* s = readline(); int result = countingValleys(n, s); fprintf(fptr, "%d\n", result); fclose(fptr); return 0; } char* readline() { size_t alloc_length = 1024; size_t data_length = 0; char* data = malloc(alloc_length); while (true) { char* cursor = data + data_length; char* line = fgets(cursor, alloc_length - data_length, stdin); if (!line) { break; } data_length += strlen(cursor); if (data_length < alloc_length - 1 || data[data_length - 1] == '\n') { break; } size_t new_length = alloc_length << 1; data = realloc(data, new_length); if (!data) { break; } alloc_length = new_length; } if (data[data_length - 1] == '\n') { data[data_length - 1] = '\0'; } data = realloc(data, data_length); return data; } countingValleys函数为解法,想明白之后,其实变得很简单,经验就是凌晨写代码其实效率真的不高。