AIM Tech Round 3 (Div. 2) B 数学+贪心

时间:2023-03-09 09:50:52
AIM Tech Round 3 (Div. 2) B 数学+贪心

http://codeforces.com/contest/709

题目大意:给一个一维的坐标轴,上面有n个点,我们刚开始在位置a,问,从a点开始走,走n-1个点所需要的最小路程。

思路:我们知道,如果你一会儿走左一会儿左右,最后访问n-1个点一定只会让距离更长的,所以我们的策略是刚开始全都往一端走,然后访问完n-1个点即可。刚开始我是分类讨论的。。。讨论的要死了。。。不过后来看了一下别人的代码,发现虽然思路是对的,但是过程想麻烦了。 具体看代码吧。

我的乱七八糟的分类讨论

//看看会不会爆int! 或者绝对值问题。
#include <bits/stdc++.h>
using namespace std;
#define LL long long
#define pb push_back
#define mk make_pair
#define fi first
#define se second
#define ALL(a) a.begin(), a.end()
const int maxn = + ;
const LL inf = 1e18;
int n;
LL a;
LL x[maxn]; int main(){
cin >> n >> a;
LL tmp = a;
for (int i = ; i < n; i++) scanf("%lld", x + i);
if (n == ) {printf("0\n"); return ;}
sort(x, x + n); x[n] = inf;
int pos = lower_bound(x, x + n, a) - x;
LL lb = a - x[], rb = x[n-] - a;
LL ans = inf;
if (pos == ) ans = min(ans, rb - x[n - ] + x[n - ]);
else if (pos == ){
ans = min(rb, lb * + rb - x[n - ] + x[n - ]);
ans = min( * abs(rb - x[n - ] + x[n - ]) + lb, ans);
}
else if (pos == n - ) {
if (x[pos] == a) ans = min(ans, lb - x[] + x[]);
else {
ans = min(lb, rb * + lb - x[] + x[]);
ans = min(ans, * (lb - x[] + x[]) + rb);
}
}
else if (pos == n) ans = min(ans, lb - x[] + x[]);
else {
ans = min( * lb + rb - x[n - ] + x[n - ], * rb + lb - x[] + x[]);
ans = min(ans, * (lb - x[] + x[]) + rb);
ans = min(ans, * (rb - x[n - ] + x[n - ]) + lb);
}
cout << ans << endl;
return ;
}

另一种写法,很简便

//看看会不会爆int! 或者绝对值问题。
#include <bits/stdc++.h>
using namespace std;
#define LL long long
#define pb push_back
#define mk make_pair
#define fi first
#define se second
#define ALL(a) a.begin(), a.end()
const int maxn = + ;
const LL inf = 1e18;
int n;
LL a;
LL x[maxn]; int main(){
cin >> n >> a;
for (int i = ; i < n; i++) scanf("%lld", x + i);
if (n == ) {printf("0\n"); return ;}
sort(x, x + n); x[n] = inf;
LL ans = min(abs(x[] - a), abs(x[n - ] - a)) + x[n - ] - x[];
LL tmp = min(abs(x[] - a), abs(x[n - ] - a)) + x[n - ] - x[];
cout << min(ans, tmp) << endl;
return ;
}