1.AtCoder Beginner Contest 293(C,D ,E,F)2.Educational Codeforces Round 115 (Rated for Div. 2)(D,E)3.AtCoder Beginner Contest 294(E,F,G)4.AtCoder Beginner Contest 2465.中国石油大学(北京)第三届“骏码杯”程序设计竞赛(同步赛)(D,E,F)6.Codeforces Global Round 16(D,E,F)7.AtCoder Beginner Contest 209(D,E)8.Monoxer Programming Contest 2022(AtCoder Beginner Contest 238)(E,F)9.AtCoder Beginner Contest 285(B,D,E,F)10.AtCoder Beginner Contest 242(D,E)11.AtCoder Beginner Contest 223(D,E,F)12.AtCoder Beginner Contest 207(D,E)13.AtCoder Beginner Contest 247(E,F)14.AtCoder Beginner Contest 226(E,F,G)15.AtCoder Beginner Contest 229(F,G)16.AtCoder Beginner Contest 273(E)17.AtCoder Beginner Contest 286(G)18.AtCoder Beginner Contest 287(C,D,E,F)19.AtCoder Beginner Contest 288(D,E,F)20.AtCoder Beginner Contest 289(E,F)21.AtCoder Beginner Contest 290(D,E)22.AtCoder Beginner Contest 292(E,F,G)23.AtCoder Beginner Contest 298(D,F)24.AtCoder Beginner Contest 299(E,F)25.AtCoder Beginner Contest 300(E,F)26.AtCoder Beginner Contest 302(E,F,G)27.AtCoder Beginner Contest 253(E,F)28.AtCoder Beginner Contest 245(D,E,F)29.AtCoder Beginner Contest 248(D,E,F) 30.AtCoder Beginner Contest 206(Sponsored by Panasonic)(E,F)31.Codeforces Round 875 (Div. 2)(D)32.AtCoder Beginner Contest 178(E,F)33.AtCoder Beginner Contest 307(E,F,G)34.CodeTON Round 5 (Div. 1 + Div. 2, Rated, Prizes!)C35.Educational Codeforces Round 151 (Rated for Div. 2)(C,D)36.AtCoder Beginner Contest 212(E,F)37.牛客小白月赛5138.2022年浙大城市学院新生程序设计竞赛(同步赛)(补题)39.Codeforces Round #770 (Div. 2)B,C40.Codeforces Global Round 24(B,C)41.Codeforces Round #836 (Div. 2)C42.Codeforces Round #840 (Div. 2) C
43.Good Bye 2022: 2023 is NEAR C44.Codeforces Round #765 (Div. 2)A,B,C45.Codeforces Round #766 (Div. 2)C,D46.Codeforces Round #841 (Div. 2) and Divide by Zero 202247.Codeforces Round #767 (Div. 2)C ,D 48.Codeforces Round #768 (Div. 2)C ,D49. Codeforces Round #769 (Div. 2) B,C50.Educational Codeforces Round 122 (Rated for Div. 2),C,D51.Educational Codeforces Round 119 (Rated for Div. 2)52.AtCoder Beginner Contest 25853.Codeforces Round #763 (Div. 2)C54.Codeforces Round #843 (Div. 2)(B,C,D,E)55.Educational Codeforces Round 141 (Rated for Div. 2)(B,C,D)56.AtCoder Beginner Contest 275(B,C,D,E,F)57.Codeforces Round #842 (Div. 2)(B,D,E)58.AtCoder Beginner Contest 284(D,E,F)59.The 14th Jilin Provincial Collegiate Programming Contest(补题)60.牛客小白月赛65(C,D,E,F)61.AtCoder Beginner Contest 281(D,E,F)62.Good Bye 2021: 2022 is NEAR D63.Hello 202364.The 15th Jilin Provincial Collegiate Programming Contest(补题)65.Codeforces Round #781 (Div. 2)C 66.Hello 2022(B,D)67.AtCoder Beginner Contest 272(D,E)68.Codeforces Round 751 (Div. 2)(D)69.Codeforces Round 856 (Div. 2)(C,D)70.Codeforces Round 752 (Div. 2)(C,D,E)71.Codeforces Round 855 (Div. 3)(E,F)72.AtCoder Regular Contest 131(A,B,C)73.Educational Codeforces Round 144 (Rated for Div. 2)(A,B,C,D)74.Codeforces Round 853 (Div. 2)(C,D)75.牛客练习赛109(C,D)76.AtCoder Beginner Contest 291(Sponsored by TOYOTA SYSTEMS)(D,E,F)77.Educational Codeforces Round 143 (Rated for Div. 2)(A,C,D)78.Codeforces Round #852 (Div. 2)(C,D)79.Educational Codeforces Round 118 (Rated for Div. 2)(D,E)80.AtCoder Beginner Contest 236(D,E,F)81.Codeforces Round #850 (Div. 2, based on VK Cup 2022 - Final Round)(B,D)82.Codeforces Round #848 (Div. 2)(B,C,D)83.TypeDB Forces 2023 (Div. 1 + Div. 2, Rated, Prizes!) (B,C,D) 84.Codeforces Round #846 (Div. 2)(B,E) 85.Educational Codeforces Round 142 (Rated for Div. 2)(C,D)86.2023牛客寒假算法基础集训营687.Codeforces Round #845 (Div. 2) and ByteRace 2023(A,B,C)88.2023牛客寒假算法基础集训营5 89.2023牛客寒假算法基础集训营3 90.2023牛客寒假算法基础集训营291.2023牛客寒假算法基础集训营192.Educational Codeforces Round 120 (Rated for Div. 2) C,D93.AtCoder Beginner Contest 254(C,D,E,F)
这一道题也是我没想到的
题目大意是这样的:可以选择i,j(i<j),我们可以把i到j包括i,j的元素换成abs(a[i],a[j]) ,并且我们需要的答案就是经过一系列这样的操作,使得这个数组的和最大,并输出这一个最大值
我先前一直在想最大值和最小值的差,这样就会让这个差值最大,但是这样还要考虑这样改变划算吗,其他的地方呢?
其实不用这么复杂。
我们可以先考虑n>4的情况
我们第一步可以让a[1],a[2]变成abs(a[1]-a[2]),这样a[1]==a[2],在让a[1]=a[2]=abs(a[1]-a[2]) =0;
下一步就是按这样的方式把a[n]和a[n-1]变成了0
最后一步就是把从1到n的都变成这个数组原来的最大的那个mx,因为abs(mx-0)=mx,这也就是我为什么一定要n>4
如果mx在第1个位置上,那就更好办了,只要把a[n]和a[n-1]变成0了就可以了,mx在最后一个位置也是同样的道理。
如果n==3,那么有以下几种改变方法
1.a[1]和a[2]变成abs(a[1]-a[2]),ans=abs(a[1]-a[2])*2+a[3]
2.a[2]和a[3]变成abs(a[3]-a[2]),ans=abs(a[3]-a[2])*2+a[1]
3.a[1]和a[2]变成0,a[1]=a[2]=a[3] ,ans=a[3]*3
4.a[2]和a[3]变成0,a[2]=a[3]=a[1], ans=a[1]*3
5.先把a[1]变成abs(a[1]-a[2]) ,然后在把a[2],a[3]都变成0,最后a[1]=a[2]=a[3]=abs(a[1]-a[2])(最开始的a[1],a[2]),
ans=abs(a[1]-a[2])*3
6.先把a[3]变成abs(a[3]-a[2]) ,然后在把a[2],a[1]都变成0,最后a[1]=a[2]=a[3]=abs(a[3]-a[2])(最开始的a[3],a[2]),
ans=abs(a[3]-a[2])*3
最后两种可能比较难想到,反正我是没想到
如果n==2
ans=max(a[1]+a[2],abs(a[1]-a[2])*2)//直接判断
后来知道了它获得最大和的方式,就觉得很妙,我在vp的时候真是没什么思路
#include <iostream>
#include <stdlib.h>
#include <cmath>
using namespace std;
const int maxn=2e5+10;
#define int long long
int n,t;
int a[maxn];
void solve()
{
cin>>n;
int mx=-1;
for (int i=1;i<=n;i++)
{
cin>>a[i];
mx=max(mx,a[i]);
}
if (n>3)
{
cout<<mx*n<<'\n';
}
else if (n==2)
{
cout<<max(a[1]+a[2],abs(a[1]-a[2])*2)<<'\n';
}
else
{
int ans=max(a[1],a[3]);
ans=ans*3;
ans=max(ans,a[1]+a[2]+a[3]);
ans=max(ans,abs(a[1]-a[2])*3);
ans=max(ans,abs(a[3]-a[2])*3);
ans=max(ans,abs(a[1]-a[2])*2+a[3]);
ans=max(ans,abs(a[3]-a[2])*2+a[1]);
cout<<ans<<'\n';
}
return ;
}
signed main ()
{
cin>>t;
while (t--)
{
solve();
}
system ("pause");
return 0;
}
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