

1 #include <bits/stdc++.h> 2 using namespace std; 3 using LL = long long; 4 int main() 5 { 6 int T,n; 7 scanf("%d",&T); 8 while(T--) 9 { 10 scanf("%d",&n); 11 n-=3; 12 LL sum=(LL)(n+1)*(n+2)/2; 13 int ans1=n%3==0?1:0;//a=b=c 14 int ans2=n/3+1-ans1;//a=b<c 15 int ans3; 16 if(n&1)ans3=(n/3+1)/2-ans1; 17 else ans3=n/3+1-(n/3+1)/2-ans1;//a<b=c 18 sum-=(ans1+3ll*ans2+3ll*ans3); 19 sum/=6;//a<b<c 20 sum=sum+ans1+ans2+ans3; 21 printf("%lld\n",sum); 22 } 23 return 0; 24 }
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