Given the sequence AA with nn integers t1,t2,⋯,tnt1,t2,⋯,tn. Given the integral coefficients aaand bb. The fact that select two elements titi and tjtj of AA and i≠ji≠j to maximize the value of at2i+btjati2+btj, becomes the largest point.
InputAn positive integer TT, indicating there are TT test cases.
For each test case, the first line contains three integers corresponding to n (2≤n≤5×106), a (0≤|a|≤106)n (2≤n≤5×106), a (0≤|a|≤106) and b (0≤|b|≤106)b (0≤|b|≤106). The second line contains nnintegers t1,t2,⋯,tnt1,t2,⋯,tn where 0≤|ti|≤1060≤|ti|≤106 for 1≤i≤n1≤i≤n.
The sum of nn for all cases would not be larger than 5×1065×106.OutputThe output contains exactly TT lines.
For each test case, you should output the maximum value of at2i+btjati2+btj.Sample Input
2 3 2 1 1 2 3 5 -1 0 -3 -3 0 3 3
Sample Output
Case #1: 20 Case #2: 0
只需要维护一下a*t*t和b*t各自的最大和次大值。然后记录最大值对应的下标,以此来判断冲突。
当时没有想清楚,以至于维护了太多最值,把自己搞乱了,也和最近身体状态有关吧。
#include<cstdio> #include<algorithm> using namespace std; #define ll long long const ll inf = 1000000000000000000ll; int main(){ int t; scanf("%d",&t); for(int i=1;i<=t;i++){ ll n, a, b, t; ll max1a=-inf,max2a=-inf,max1b=-inf,max2b=-inf; int x=-1, y=-1; scanf("%lld%lld%lld",&n,&a,&b); for(int i=0;i<n;i++){ scanf("%lld",&t); if(a*t*t>max1a){ x = i; max2a = max1a; max1a = a*t*t; }else if(a*t*t>max2a){ max2a = a*t*t; } if(b*t>max1b){ y = i; max2b = max1b; max1b = b*t; }else if(b*t>max2b){ max2b = b*t; } } printf("Case #%d: ",i); if(x==y){ printf("%lld ",max(max1a+max2b,max2a+max2b)); }else printf("%lld ",max1a+max1b); } return 0; }