Hihocoder-1514 偶像的條件
阿新 • • 發佈:2019-02-12
解題思路:
其實就是隨意搞下就行。
求|a - b| + |b - c| + |c - a|的最小值
顯然列舉a,然後二分整個{b}找到離a最近的b,再二分整個{c}找到離a最近的c和離b最近的c
比較一下誰最近,就可以O(nlogn)搞出來了。
程式碼:
#include <set> #include <map> #include <cmath> #include <queue> #include <stack> #include <bitset> #include <cstdio> #include <vector> #include <string> #include <cstring> #include <cstdlib> #include <iostream> #include <algorithm> #include <functional> using namespace std; const int maxn = 1e5 + 5; int a[maxn], b[maxn], c[maxn]; inline long long Abs(long long x) { return (x >= 0 ? x : -x); } int main() { ios::sync_with_stdio(false); cin.tie(0); int n, m, l; cin >> n >> m >> l; for ( int i = 0; i < n; ++i ) cin >> a[i]; for ( int i = 0; i < m; ++i ) cin >> b[i]; for ( int i = 0; i < l; ++i ) cin >> c[i]; sort(a, a + n); sort(b, b + m); sort(c, c + l); long long ans = 1e18 + 5; for ( int i = 0; i < n; ++i ) { int pos_b = lower_bound(b, b + m, a[i]) - b; int pos_c = lower_bound(c, c + l, a[i]) - c; ans = min(ans, Abs(a[i] - b[pos_b]) + Abs(b[pos_b] - c[pos_c]) + Abs(c[pos_c] - a[i])); if ( pos_c > 0 ) ans = min(ans, Abs(a[i] - b[pos_b]) + Abs(b[pos_b] - c[pos_c-1]) + Abs(c[pos_c-1] - a[i])); pos_c = lower_bound(c, c + l, b[pos_b]) - c; ans = min(ans, Abs(a[i] - b[pos_b]) + Abs(b[pos_b] - c[pos_c]) + Abs(c[pos_c] - a[i])); if ( pos_c > 0 ) ans = min(ans, Abs(a[i] - b[pos_b]) + Abs(b[pos_b] - c[pos_c-1]) + Abs(c[pos_c-1] - a[i])); if ( pos_b > 0 ) { pos_c = lower_bound(c, c + l, b[pos_b-1]) - c; ans = min(ans, Abs(a[i] - b[pos_b-1]) + Abs(b[pos_b-1] - c[pos_c]) + Abs(c[pos_c] - a[i])); if ( pos_c > 0 ) ans = min(ans, Abs(a[i] - b[pos_b-1]) + Abs(b[pos_b-1] - c[pos_c-1]) + Abs(c[pos_c-1] - a[i])); } } cout << ans << endl; return 0; }