Professor GukiZ and Two Arrays
题解:
将a数组都sort一遍之后, b数组也sort一遍之后。
可以观察得到 对于每一个ai来说, 整个数组bi是一个V型的。
并且对于ai+1的最优解一定是在ai的右边。
然后我们将a数组 和 b数组枚举一遍。
然后再将a数组22组合, b数组22组合之后, 再枚举一遍。
代码:
#include<bits/stdc++.h> using namespace std; #define Fopen freopen("_in.txt","r",stdin); freopen("_out.txt","w",stdout); #define LL long long #define ULL unsigned LL #define fi first #define se second #define pb push_back #define lson l,m,rt<<1 #define rson m+1,r,rt<<1|1 #define lch(x) tr[x].son[0] #define rch(x) tr[x].son[1] #define max3(a,b,c) max(a,max(b,c)) #define min3(a,b,c) min(a,min(b,c)) typedef pair<int,int> pll; const int inf = 0x3f3f3f3f; const int _inf = 0xc0c0c0c0; const LL INF = 0x3f3f3f3f3f3f3f3f; const LL _INF = 0xc0c0c0c0c0c0c0c0; const LL mod = (int)1e9+7; const int N = 4e6 + 100; int a[N], b[N]; struct Node{ int v, l, r; bool operator<(const Node & t) const{ return v < t.v; } }A[N], B[N]; LL ans; pll ansa, ansb; LL suma = 0, sumb = 0; int f; LL cal(int i, int j){ LL tsuma = suma - A[i].v + B[j].v; LL tsumb = sumb - B[j].v + A[i].v; return abs(tsuma - tsumb); } void Find(int n, int m){ if(!n || !m) return ; sort(A+1, A+1+n); sort(B+1, B+1+m); for(int i = 1, j = 1; i <= n; ++i){ while((j+1) <= m && cal(i,j) >= cal(i,j+1)) ++j; if(ans > cal(i,j)){ ans = cal(i, j); ansa = pll(A[i].l, B[j].l); ansb = pll(A[i].r, B[j].r); } } } int main(){ int n, m; scanf("%d", &n); f += (n==1000); for(int i = 1; i <= n; ++i){ scanf("%d", &a[i]); A[i] = {a[i], i, 0}; suma += a[i]; } scanf("%d", &m); for(int i = 1; i <= m; ++i){ scanf("%d", &b[i]); B[i] = {b[i], i, 0}; sumb += b[i]; } ans = abs(suma - sumb); ansa = ansb = {0, 0}; Find(n, m); int atot = 0, btot = 0; for(int i = 1; i <= n; ++i){ for(int j = i+1; j <= n; ++j){ A[++atot] = {a[i]+a[j], i, j}; } } for(int i = 1; i <= m; ++i){ for(int j = i+1; j <= m; ++j){ B[++btot] = {b[i]+b[j], i, j}; } } Find(atot, btot); printf("%lld ", ans); if(ansa.fi == 0){ puts("0"); } else if(ansb.se == 0){ puts("1"); printf("%d %d ", ansa.fi, ansa.se); } else { puts("2"); printf("%d %d ", ansa.fi, ansa.se); printf("%d %d ", ansb.fi, ansb.se); } return 0; }