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HDU 6351暴力枚举 6354计算几何

Beautiful Now

Time Limit: 5000/2500 MS (Java/Others) Memory Limit: 262144/262144 K (Java/Others)
Total Submission(s): 1876 Accepted Submission(s): 707

Problem Description

Anton has a positive integer

Input

The first line contains one integer

Output

For each test case, print in one line the minimum integer and the maximum integer which are separated by one space.

Sample Input

12 1

213 2

998244353 1

998244353 2

998244353 3

Sample Output

12 21

123 321

298944353 998544323

238944359 998544332

233944859 998544332

解析暴力枚举交换1-min(len-1,k) 次的下标排列情况的算出每种情况的值感觉有点超时啊 9!*T*10 每种情况都要除10下分解掉明明是3e8啊 2.5s很悬啊

AC代码

#include <bits/stdc++.h>
#define mp make_pair
#define pb push_back
#define fi first
#define se second
#define all(a) (a).begin(), (a).end()
#define fillchar(a, x) memset(a, x, sizeof(a))
#define huan printf("
");
#define debug(a,b) cout<<a<<" "<<b<<" "<<endl;
using namespace std;
typedef long long ll;
const ll maxn=1e7+50,inf=1e18;
const ll mod=1e9+7;
vector<int> per[10][10];
int vis[11],a[10],b[10];
void init()
{
    for(int i=1;i<=9;i++)
    {
        for(int j=1;j<=i;j++)
            a[j]=j;
        do
        {
            fillchar(vis,0);
            int now=0,temp=0;
            for(int j=1;j<=i;j++)
                now=now*10+a[j];
            for(int j=1;j<=i;j++)
            {
                if(vis[j]==0)
                {
                    vis[j]=1;
                    for(int k=a[j];k!=j;k=a[k])
                        vis[k]=1,temp++;
                }
            }
            per[i][temp].pb(now);
        }while(next_permutation(a+1,a+i+1));
    }
}
char s[12];
int main()
{
    int n,m,t,k,maxx,minn;
    init();
    cin>>t;
    while(t--)
    {
        cin>>n>>k;
        minn=maxx=n;
        int len=sprintf(s,"%d",n);
        if(len==10)
        {
            printf("%d %d
",minn,maxx);
            continue;
        }
        reverse(s,s+len);
        if(len<=k)k=len-1;
        for(int i=0;i<=k;i++)
        {
            for(int j=0;j<per[len][i].size();j++)
            {
                int temp=per[len][i][j],cnt=0,sum=0;
                while(temp)
                {
                   sum=sum*10+int(s[temp%10-1]-'0');
                   temp/=10;
                }
                //cout<<per[len][i][j]<<" "<<sum<<endl;
                if((int)pow(10,len-1)>sum)continue;
                maxx=max(maxx,sum);
                minn=min(minn,sum);
            }
        }
        printf("%d %d
",minn,maxx);
    }
}

http://acm.hdu.edu.cn/showproblem.php?pid=6354

解析内切的直接把周长加起来相交的减去原来的弧长加上另一个圆的弧长根据余弦定理可以算出来角度角度*半径就是弧长了

  1 #include <bits/stdc++.h>
  2 #define LL long long
  3 #define PI 3.1415926535897932384626
  4 #define maxn 1000
  5 #define EXIT exit(0);
  6 #define DEBUG puts("Here is a BUG");
  7 #define CLEAR(name, init) memset(name, init, sizeof(name))
  8 const double eps = 1e-9;
  9 const int MAXN = (int)1e9 + 5;
 10 using namespace std;
 11 #define Vector Point
 12 int dcmp(double x)
 13 {
 14     return fabs(x) < eps ? 0 : (x < 0 ? -1 : 1);
 15 }
 16 struct Point
 17 {
 18     double x, y;
 19 
 20     Point(const Point& rhs): x(rhs.x), y(rhs.y) { } //拷贝构造函数
 21     Point(double x = 0.0, double y = 0.0): x(x), y(y) { }   //构造函数
 22     friend istream& operator >> (istream& in, Point& P)
 23     {
 24         return in >> P.x >> P.y;
 25     }
 26     friend ostream& operator << (ostream& out, const Point& P)
 27     {
 28         return out << P.x << ' ' << P.y;
 29     }
 30     friend Vector operator + (const Vector& A, const Vector& B)
 31     {
 32         return Vector(A.x+B.x, A.y+B.y);
 33     }
 34     friend Vector operator - (const Point& A, const Point& B)
 35     {
 36         return Vector(A.x-B.x, A.y-B.y);
 37     }
 38     friend Vector operator * (const Vector& A, const double& p)
 39     {
 40         return Vector(A.x*p, A.y*p);
 41     }
 42     friend Vector operator / (const Vector& A, const double& p)
 43     {
 44         return Vector(A.x/p, A.y/p);
 45     }
 46     friend bool operator == (const Point& A, const Point& B)
 47     {
 48         return dcmp(A.x-B.x) == 0 && dcmp(A.y-B.y) == 0;
 49     }
 50     friend bool operator < (const Point& A, const Point& B)
 51     {
 52         return A.x < B.x || (A.x == B.x && A.y < B.y);
 53     }
 54     void in(void)
 55     {
 56         scanf("%lf%lf", &x, &y);
 57     }
 58     void out(void)
 59     {
 60         printf("%lf %lf", x, y);
 61     }
 62 };
 63 template <class T> T sqr(T x)
 64 {
 65     return x * x;
 66 }
 67 double Dot(const Vector& A, const Vector& B)
 68 {
 69     return A.x*B.x + A.y*B.y;    //点积
 70 }
 71 double Length(const Vector& A)
 72 {
 73     return sqrt(Dot(A, A));
 74 }
 75 double Angle(const Vector& A, const Vector& B)
 76 {
 77     return acos(Dot(A, B)/Length(A)/Length(B));    //向量夹角
 78 }
 79 double Cross(const Vector& A, const Vector& B)
 80 {
 81     return A.x*B.y - A.y*B.x;    //叉积
 82 }
 83 double Area(const Point& A, const Point& B, const Point& C)
 84 {
 85     return fabs(Cross(B-A, C-A));
 86 }
 87 Vector normal(Vector x)
 88 {
 89     return Point(-x.y, x.x) / Length(x);
 90 }
 91 double angle(Vector x)
 92 {
 93     return atan2(x.y, x.x);
 94 }
 95 Vector vecunit(Vector x)
 96 {
 97     return x / Length(x);   //单位向量
 98 }
 99 struct Circle
100 {
101     Point c;    //圆心
102     double r;   //半径
103     Circle() { }
104     Circle(const Circle& rhs): c(rhs.c), r(rhs.r) { }
105     Circle(const Point& c, const double& r): c(c), r(r) { }
106 
107     Point point(double ang) const
108     {
109         return Point(c.x + cos(ang)*r, c.y + sin(ang)*r);    //圆心角所对应的点
110     }
111     double length(void) const
112     {
113         return PI * 2.0 * r;
114     }
115     double area(void) const
116     {
117         return PI * r * r;
118     }
119     void in(void)const
120     {
121         scanf("%lf%lf%lf",&c.x,&c.y,&r);
122     }
123 };
124 double CCdistance(Circle a, Circle b)//圆心距
125 {
126     return sqrt((a.c.x-b.c.x)*(a.c.x-b.c.x)+(a.c.y-b.c.y)*(a.c.y-b.c.y));
127 }
128 int CCguanxi(Circle a,Circle b)//两圆关系
129 {
130     double dis=CCdistance(a,b);
131     if(dis>=a.r+b.r)
132         return -1;  //外离||外切
133     else if(dis<fabs(a.r-b.r))
134         return 0;   //内含
135     else if(fabs(dis-fabs(a.r-b.r))<eps)
136         return 2; //内切
137     else
138         return 1;//相交
139 }
140 double CCyuanxinjiao(Circle a,Circle b) //a,b相交 a的圆心角
141 {
142     double dis=CCdistance(a,b);
143     double temp=(dis*dis+a.r*a.r-b.r*b.r)/(2*dis*a.r);
144     return 2.0*acos(temp);
145 }
146 double Arclength(Circle a,double jiaodu) //圆心角所对应的弧长
147 {
148     return jiaodu*a.r;
149 }
150 Circle c[maxn];
151 Point p[maxn];
152 int main()
153 {
154     int t;
155     double r,m;
156     cin>>t;
157     while(t--)
158     {
159         cin>>m>>r;
160         Circle yuan(Point(0,0),r);
161         double ans=yuan.length();
162         for(int i=0;i<m;i++)
163             c[i].in();
164         for(int i=0;i<m;i++)
165         {
166             //cout<<i<<" "<<c[i].zhouchang()<<endl;
167             if(CCguanxi(yuan,c[i])==2)
168                 ans+=c[i].length();
169             else if(CCguanxi(yuan,c[i])==1)
170             {
171                 double a=CCyuanxinjiao(yuan,c[i]);
172                 ans-=Arclength(yuan,a);
173                 double b=CCyuanxinjiao(c[i],yuan);
174                 ans+=Arclength(c[i],b);
175             }
176         }
177         printf("%.20f
",ans);
178     }
179 }

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原文地址：https://www.cnblogs.com/stranger-/p/9437925.html