先说C
题目链接:http://codeforces.com/problemset/problem/471/C
题目意思:有 n 张卡,问能做成多少种不同楼层(floor)的 house。注意这 n 张卡都要用光。每层 floor 都由一定的 room 构成,每两个相邻 room 规定要有一个公共的ceiling。规定从上到下看,每层 floor 的 room 的数量呈递增的形式排布。
这样的东西一般就是看图,先自己从小数開始推算找规律 能够发现第i层须要(3*i+2)个,那么前i层总的最少须要就是等差数列求和得(3*i+1)*i/2。 由于不能剩余。那么n-(3*i+1)*i/2必须能被3整除。那么从1到(3*i+1)*i/2<=n遍历一下即可 n=10^12 所以O(1e6)时间还是够的
//#pragma comment(linker, "/STACK:102400000,102400000")
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <string>
#include <iostream>
#include <iomanip>
#include <cmath>
#include <map>
#include <set>
#include <queue>
using namespace std; #define ls(rt) rt*2
#define rs(rt) rt*2+1
#define ll long long
#define ull unsigned long long
#define rep(i,s,e) for(int i=s;i<e;i++)
#define repe(i,s,e) for(int i=s;i<=e;i++)
#define CL(a,b) memset(a,b,sizeof(a))
#define IN(s) freopen(s,"r",stdin)
#define OUT(s) freopen(s,"w",stdout)
const ll ll_INF = ((ull)(-1))>>1;
const double EPS = 1e-8;
const double pi = acos(-1.0);
const int INF = 100000000; int main()
{
ll n;
while(~scanf("%I64d",&n))
{
ll ans=0,tmp;
for(ll i=1;(tmp=(3*i+1)*i/2)<=n;i++)
{
if( ( n-tmp )%3 == 0)
ans++;
}
printf("%I64d\n",ans);
}
return 0;
}
B, 首先能不能出现三种以上的排列,写代码时用了类似离散化的写法,能的话 就随便改两个数的次序就能凑够3种
//#pragma comment(linker, "/STACK:102400000,102400000")
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <string>
#include <iostream>
#include <iomanip>
#include <cmath>
#include <map>
#include <set>
#include <queue>
using namespace std; #define ls(rt) rt*2
#define rs(rt) rt*2+1
#define ll long long
#define ull unsigned long long
#define rep(i,s,e) for(int i=s;i<e;i++)
#define repe(i,s,e) for(int i=s;i<=e;i++)
#define CL(a,b) memset(a,b,sizeof(a))
#define IN(s) freopen(s,"r",stdin)
#define OUT(s) freopen(s,"w",stdout)
const ll ll_INF = ((ull)(-1))>>1;
const double EPS = 1e-8;
const double pi = acos(-1.0);
const int INF = 100000000; const int MAXN = 2000+20;
struct Node{
int id,v;
}p[MAXN];
int n;
bool cmp(Node a, Node b)
{
return a.v<b.v;
} void print()
{
printf("%d",p[1].id);
for(int i=2;i<=n;i++)
printf(" %d",p[i].id);
putchar('\n');
} void SW(Node &a, Node &b)
{
Node tmp;
tmp=a;
a=b;
b=tmp;
} int main()
{ while(~scanf("%d",&n))
{
for(int i=1;i<=n;i++)
{
scanf("%d",&p[i].v);
p[i].id=i;
}
sort(p+1,p+n+1,cmp);
p[n+1].v=-1;
int tmp=1,pre=p[1].v;
ll cnt=1;
int flag=0;
for(int i=2;i<=n+1;i++)
if(pre!=p[i].v)
{
if(tmp>=3){flag=1;break;}
cnt*=tmp;
if(cnt>=3){flag=1;break;}
tmp=1;
pre=p[i].v;
}
else
{
tmp++;
}
if(!flag)puts("NO");
else
{
puts("YES");
print();
int pr=p[1].v,tmp=1;
int cnt=1;
for(int i=2;i<=n+1;i++)///
if(pr!=p[i].v)
{
if(tmp==2)
{
SW(p[i-1],p[i-2]);
if(cnt<3)print(),cnt++;; }
if(tmp >= 3)
{
SW(p[i-1],p[i-2]);
if(cnt<3) print(),cnt++;
//cnt++;
SW(p[i-1],p[i-3]);
if(cnt<3)print(),cnt++;
//cnt++;
}
if(cnt >=3)break;
tmp=1;
pr=p[i].v;
}
else
{
tmp++;
}
}
}
return 0;
}
A 水 只是由于flag少写了一个 WA了一次
//#pragma comment(linker, "/STACK:102400000,102400000")
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <string>
#include <iostream>
#include <iomanip>
#include <cmath>
#include <map>
#include <set>
#include <queue>
using namespace std; #define ls(rt) rt*2
#define rs(rt) rt*2+1
#define ll long long
#define ull unsigned long long
#define rep(i,s,e) for(int i=s;i<e;i++)
#define repe(i,s,e) for(int i=s;i<=e;i++)
#define CL(a,b) memset(a,b,sizeof(a))
#define IN(s) freopen(s,"r",stdin)
#define OUT(s) freopen(s,"w",stdout)
const ll ll_INF = ((ull)(-1))>>1;
const double EPS = 1e-8;
const double pi = acos(-1.0);
const int INF = 100000000; int len[10],vis[12]; int main()
{
while(~scanf("%d%d%d%d%d%d",len,len+1,len+2,len+3,len+4,len+5))
{
int ans=0;
CL(vis,0);
sort(len,len+6);
int cnt=0,flag=0;
for(int i=0;i<6;i++)
{
vis[len[i]]++;
if(vis[len[i]] == 4)cnt=i,flag=1;
}
if(vis[len[cnt]] == 5)
{
puts("Bear");
continue;
}
if(vis[len[cnt]] == 6)
{
puts("Elephant");
continue;
}
int last=-1,ff=0;
for(int i=0;i<6;i++)
if(i!=cnt)
{
if(vis[len[i]] == 2)ff=1;
if(last==-1){len[0]=len[i];last=1;}
else len[5]=len[i];
}
if(ff && flag)
{
puts("Elephant");
continue;
}
if(len[0]!=len[5] && flag)
{
puts("Bear");
continue;
}
if(len[0]==len[5] && flag)
{
puts("Elephant");
continue;
}
puts("Alien");
}
return 0;
}