题目链接:http://codeforces.com/contest/752/problem/C
题意:给出一系列机器人的行动方向(机器人会走任意一条最短路径),问最少标记几个点能让机器人按这个
路径走下去。
显然最后位置肯定要标记,然后怎么使得点最少呢。首先标记一下起点由于机器人走的是最短路一旦第i个点到
标记点的距离小于第i-1个点到标记点的距离是肯定不能这么走,于是这时就要标记一下上个点的位置,统计数
加1。
#include <iostream>
#include <cstring>
#include <string>
#include <cmath>
using namespace std;
const int M = 2e5 + 10;
int a[M];
int main() {
string s;
int n;
cin >> n;
cin >> s;
int len = s.size();
int count = 0;
int x = 0 , y = 0 , stax = 0 , stay = 0;
int cp = 0;
for(int i = 0 ; i < n ; i++) {
if(s[i] == 'U') {
y++;
int gg = abs(y - stay) + abs(x - stax);
if(gg >= cp) {
cp = gg;
}
else {
count++;
stax = x;
stay = y - 1;
cp = 1;
}
}
if(s[i] == 'D') {
y--;
int gg = abs(y - stay) + abs(x - stax);
if(gg >= cp) {
cp = gg;
}
else {
count++;
stax = x;
stay = y + 1;
cp = 1;
}
}
if(s[i] == 'L') {
x--;
int gg = abs(y - stay) + abs(x - stax);
if(gg >= cp) {
cp = gg;
}
else {
count++;
stax = x + 1;
stay = y;
cp = 1;
}
}
if(s[i] == 'R') {
x++;
int gg = abs(y - stay) + abs(x - stax);
if(gg >= cp) {
cp = gg;
}
else {
count++;
stax = x - 1;
stay = y;
cp = 1;
}
}
}
cout << count + 1 << endl;
return 0;
}