【codeforces709B】 Checkpoints——小水题

题目:点击进入

描述:

给数轴上的n个点以及你的位置a,要求你走过n - 1个点,求最少的路程长度。

题解:

n-1个点无非是0~n-2或者1~n-1,贪心就可以知道尽量减少折返的路是最优解,这样问题就变成了从a去往哪一个端点再遍历全程最短,讨论即可。注意一开始对坐标排个序。

代码:

#pragma comment(linker, "/STACK:1024000000,1024000000")
#include 
using namespace std;
#define fi first
#define se second
#define MP(A, B) make_pair(A, B)
#define pb push_back
#define gcd __gcd
#define foreach(it,a) for(__typeof((a).begin()) it=(a).begin();it!=(a).end();it++)
typedef long long ll;
typedef unsigned long long ulls;
typedef unsigned int uint;
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef vector vii;
typedef map<int, int> mii;
typedef map<string, int> msi;
typedef mapint> mpi;
const int INF = 0x3f3f3f3f;
const ll LINF = 0x3f3f3f3f3f3f3f3fLL;
const int MOD = 1e9 + 7;
const double pi = acos(-1.0);
const double eps = 1e-6;
const int maxn = 1e5 + 5;
const int maxm = 1e6 + 5;
const int dx[] = {-1, 0, 1, 0, -1, -1, 1, 1};
const int dy[] = {0, 1, 0, -1, 1, -1, 1, -1};
inline int scan(int &a) { return scanf("%d", &a); }
inline int scan(int &a, int &b) { return scanf("%d%d", &a, &b); }
inline int scan(int &a, int &b, int &c) { return scanf("%d%d%d", &a, &b, &c); }
inline int scan(ll &a) { return scanf("%I64d", &a); }
inline int scan(ll &a, ll &b) { return scanf("%I64d%I64d", &a, &b); }
inline int scan(ll &a, ll &b, ll &c) { return scanf("%I64d%I64d%I64d", &a, &b, &c); }
inline int scan(double &a) { return scanf("%lf", &a); }
inline int scan(double &a, double &b) { return scanf("%lf%lf", &a, &b); }
inline int scan(double &a, double &b, double &c) { return scanf("%lf%lf%lf", &a, &b, &c); }
inline int scan(char &a) { return scanf("%c", &a); }
inline int scan(char *a) { return scanf("%s", a); }
template<class T> inline void mem(T &A, int x) { memset(A, x, sizeof(A)); }
template<class T0, class T1> inline void mem(T0 &A0, T1 &A1, int x) { mem(A0, x), mem(A1, x); }
template<class T0, class T1, class T2> inline void mem(T0 &A0, T1 &A1, T2 &A2, int x) { mem(A0, x), mem(A1, x), mem(A2, x); }
template<class T0, class T1, class T2, class T3> inline void mem(T0 &A0, T1 &A1, T2 &A2, T3 &A3, int x) { mem(A0, x), mem(A1, x), mem(A2, x), mem(A3, x); }
template<class T0, class T1, class T2, class T3, class T4> inline void mem(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, int x) { mem(A0, x), mem(A1, x), mem(A2, x), mem(A3, x), mem(A4, x); }
template<class T0, class T1, class T2, class T3, class T4, class T5> inline void mem(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5, int x) { mem(A0, x), mem(A1, x), mem(A2, x), mem(A3, x), mem(A4, x), mem(A5, x); }
template<class T0, class T1, class T2, class T3, class T4, class T5, class T6> inline void mem(T0 &A0, T1 &A1, T2 &A2, T3 &A3, T4 &A4, T5 &A5, T6 &A6, int x) { mem(A0, x), mem(A1, x), mem(A2, x), mem(A3, x), mem(A4, x), mem(A5, x), mem(A6, x); }
template<class T> inline T min(T a, T b, T c) { return min(min(a, b), c); }
template<class T> inline T max(T a, T b, T c) { return max(max(a, b), c); }
template<class T> inline T min(T a, T b, T c, T d) { return min(min(a, b), min(c, d)); }
template<class T> inline T max(T a, T b, T c, T d) { return max(max(a, b), max(c, d)); }
template<class T> inline T min(T a, T b, T c, T d, T e) { return min(min(min(a,b),min(c,d)),e); }
template<class T> inline T max(T a, T b, T c, T d, T e) { return max(max(max(a,b),max(c,d)),e); }
int x[maxn];
int main()
{
    #ifndef ONLINE_JUDGE
        freopen("in.txt", "r", stdin);
        freopen("out.txt", "w", stdout);
        long _begin_time = clock();
    #endif

    int n, a; scan(n, a);
    for(int i = 0; i < n; i++) scan(x[i]);
    sort(x, x + n);
    int ans = INF;
    if(n == 1) ans = 0;
    else ans = min(
        abs(x[0] - a) + abs(x[n - 2] - x[0]),
        abs(x[n - 2] - a) + abs(x[n - 2] - x[0]),
        abs(x[1] - a) + abs(x[n - 1] - x[1]),
        abs(x[n - 1] - a) + abs(x[n - 1] - x[1])
    );
    printf("%d\n", ans);

    #ifndef ONLINE_JUDGE
        long _end_time = clock();
        printf("time = %ld ms\n", _end_time - _begin_time);
    #endif

    return 0;
}

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