codeforces(D. Make Them Equal) 构造

原题链接
在这里插入图片描述

将所有数都加到1上,再从1平分到所有数中

//#pragma GCC optimize("Ofast")
//#pragma GCC target("avx,avx2,fma")
//#pragma GCC optimization ("unroll-loops")
#include 
#define pb push_back
#define ll long long
#define IOS std::ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
inline int read() {char c = getchar(); int x = 0, f = 1;while (c < '0' || c > '9') {if (c == '-')f = -1; c = getchar();}while (c >= '0' && c <= '9') {x = x * 10 + c - '0'; c = getchar();}return x * f;
}
using namespace std;int t,n;
int a[100005];
struct node
{int x,y,z;
}ans[100005];
int main()
{IOS;cin>>t;while(t--){cin>>n;int aver=0,tot=0;for(int i=1;i<=n;i++){cin>>a[i];aver+=a[i];}if(aver%n!=0){cout<<"-1"<<'\n';continue;}aver/=n;for(int i=2;i<=n;i++){int g=a[i]/i+((a[i]%i==0)?0:1);int st=g*i;int cc=st-a[i];ans[++tot].x=1;ans[tot].y=i;ans[tot].z=cc;a[i]+=cc;a[1]-=cc;cc=a[i]/i;ans[++tot].x=i;ans[tot].y=1;ans[tot].z=cc;a[i]=0;a[1]+=cc*i;}for(int i=2;i<=n;i++){int cc=aver;ans[++tot].x=1;ans[tot].y=i;ans[tot].z=cc;a[i]+=cc;a[1]-=cc;}cout<<tot<<'\n';for(int i=1;i<=tot;i++){cout<<ans[i].x<<" "<<ans[i].y<<" "<<ans[i].z<<'\n';}}return 0;
}


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