Posted Updated  Semprathlon / Simfae Dean ACM-ICPC / Programing4 minutes read (About 530 words)

hdu 4059 The Boss on Mars 容斥原理 数列通项公式

The Boss on Mars

为了高效求出数列的项 $ a_i=\sum\limits^n_{i=1} i^4 $，不使用通项公式是无法实现的。
另外实际分解所得的质因数的种类并不多，无需浪费大量时间、空间筛选大质数。 

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/** Aug 27, 2015 2:45:37 PM
 * PrjName:hdu4059
 * @author Semprathlon
 */
import java.io.*;
import java.util.*;
public class Main {
    static PrintWriter out=new PrintWriter(System.out);
    static int maxn=105;
    static Vector<Integer> vec=new Vector<Integer>();
    static Vector<Integer> get_prime_factor(int n){
        Vector<Integer> res=new Vector<Integer>();
        for(int i=2;i*i<=n;i++)
            if (n%i==0){
                res.add(i);
                while(n%i==0)
                    n/=i;
            }
        if (n>1) res.add(n);
        return res;
    }
    final static long mod=1000000007L;
    static long pow(long n,long m,long mod){
        long res=1L;
        while(m>0L){
            if ((m&1L)>0L) res=res*n%mod;
            n=n*n%mod;
            m>>=1;
        }
        return res;
    }
    static long div(long a,long b,long mod){
        return a*pow(b,mod-2,mod)%mod;
    }
    static long sum(int n,long mod){
        long res=n;
        res*=2*n+1;res%=mod;
        res*=n+1;res%=mod;
        res*=(3L*n*n+3*n-1)%mod;res%=mod;
        return div(res,30,mod);
    }
    static long solve(Vector<Integer> vec,int n){
        long res=0L;
        int m=vec.size();
        for(int i=1;i<(1L<<m);i++){
            boolean tag=false;
            int tmp=1;
            for(int j=0;j<m;j++)
                if (((1L<<j)&i)>0){
                    tmp*=vec.get(j);
                    tmp%=mod;
                    tag^=true;
                }
            res=res+(tag?1:-1)*(pow(tmp,4,mod)*sum(n/tmp,mod)%mod);
            res%=mod;
        }
        return res;
    }
    public static void main(String[] args) throws IOException{
        // TODO Auto-generated method stub
        InputReader in=new InputReader(System.in);
        int T=in.nextInt();
        while(T-->0){
            int n=in.nextInt();
            Vector<Integer> v=get_prime_factor(n);
            out.println((sum(n,mod)-solve(v,n)+mod)%mod);
        }
        out.flush();
        out.close();
    }

}

另有一个未知的通过矩阵快速幂计算该数列项的方法（求以下矩阵的n次方）。
1 1 4 6 4 1
0 1 4 6 4 1
0 0 1 3 3 1
0 0 0 1 2 1
0 0 0 0 1 1
0 0 0 0 0 1 
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void init()  
{  
    int i,j;  
    //构造矩阵  
    ONE.mat[1][1]=1;ONE.mat[1][2]=1;ONE.mat[1][3]=4;  
    ONE.mat[1][4]=6;ONE.mat[1][5]=4;ONE.mat[1][6]=1;  
    ONE.mat[2][1]=0;ONE.mat[2][2]=1;ONE.mat[2][3]=4;  
    ONE.mat[2][4]=6;ONE.mat[2][5]=4;ONE.mat[2][6]=1;  
    ONE.mat[3][1]=0;ONE.mat[3][2]=0;ONE.mat[3][3]=1;  
    ONE.mat[3][4]=3;ONE.mat[3][5]=3;ONE.mat[3][6]=1;  
    ONE.mat[4][4]=1;ONE.mat[4][5]=2;ONE.mat[4][6]=1;  
    ONE.mat[5][4]=0;ONE.mat[5][5]=1;ONE.mat[5][6]=1;  
    ONE.mat[6][6]=1;  
    yu[0]=0;  
    yu[1]=1;  
    LL x;  
    for(i=2;i<maxn;i++)//预处理1~200W的sum[x]  
    {  
        x=i%MOD;  
        x=x*i;  
        x=x%MOD;  
        x=x*i;  
        x=x%MOD;  
        x=x*i;  
        x=x%MOD;  
        yu[i]=yu[i-1]+x;  
        yu[i]=yu[i]%MOD;  
    }  
    AA[1]=ONE;  
    for(i=2;i<30;i++)AA[i]=AA[i-1]*AA[i-1];  
}

最后以这种方式取得计算结果(再乘上以下矩阵)：
1 0 0 0 0 0
1 0 0 0 0 0
1 0 0 0 0 0
1 0 0 0 0 0
1 0 0 0 0 0
1 0 0 0 0 0 
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matrix A;  
LL kan(LL x)//求sum[x]  
{  
    if(x<maxn)return yu[x];  
    matrix OP;  
    for(int i=1;i<=6;i++)OP.mat[i][1]=1;  
    A=powmul(ONE,x-1);  
    OP=A*OP;  
    return OP.mat[1][1];  
}
Posted Updated  Semprathlon / Simfae Dean ACM-ICPC / Programing2 minutes read (About 240 words)

hdu 4135 Co-prime 容斥原理

hdu 4135

具有教科书性质的容斥原理应用实例。
能不重复、不遗漏地选出所有合数，也就能得到质数。 

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/** Aug 26, 2015 9:40:09 PM
 * PrjName:hdu4135
 * @author Semprathlon
 */
import java.io.*;
import java.util.*;
public class Main {
    static int maxn=1001;
    static int[] pri,fstp;
    static Vector<Integer> vec=new Vector<Integer>();
    static void get_prime(){
        pri=new int[maxn];
        fstp=new int[maxn];
        for(int i=2;i<maxn;i++){
            if (fstp[i]==0){
                pri[++pri[0]]=i;
            }
            for(int j=1;j<=pri[0]&&i*pri[j]<maxn;j++){
                int k=i*pri[j];
                fstp[k]=pri[j];
                if (i%pri[j]==0)
                    break;
            }
        }
    }
    static Vector<Integer> get_prime_factor(int n){
        Vector<Integer> res=new Vector<Integer>();
        res.clear();
        for(int i=1;i<=pri[0]&&pri[i]*pri[i]<=n;i++)
            if (n%pri[i]==0){
                res.add(pri[i]);
                while(n%pri[i]==0)
                    n/=pri[i];
            }
        if (n>1) res.add(n);
        return res;
    }
    static long solve(long n,Vector<Integer> vec){
        long res=0L;
        final int m=vec.size();
        for(long i=1L;i<(1L<<m);i++){
            boolean tag=false;
            long tmp=1L;
            for(int j=0;j<m;j++)
                if (((1L<<j)&i)>0){
                    tag^=true;
                    tmp*=vec.get(j).longValue();
                }
            res+=tag?n/tmp:-n/tmp;
        }
        return n-res;
    }
    public static void main(String[] args) throws IOException{
        // TODO Auto-generated method stub
        get_prime();
        InputReader in=new InputReader(System.in);
        PrintWriter out=new PrintWriter(System.out);
        int T=in.nextInt(),cas=0;
        while(T-->0){
            long a=in.nextLong();
            long b=in.nextLong();
            int n=in.nextInt();
            vec=get_prime_factor(n);
            out.println("Case #"+(++cas)+": "+(solve(b,vec)-solve(a-1,vec)));
        }
        out.flush();
        out.close();
    }
}
Posted Updated  Semprathlon / Simfae Dean ACM-ICPC / Programing4 minutes read (About 531 words)

2013 ACM/ICPC Asia Regional Chengdu Online

1007 F(x)数位DP

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/** Aug 22, 2015 5:23:42 PM
 * PrjName:hdu4734
 * @author Semprathlon
 */
import java.io.*;
import java.util.*;
public class Main {

    /**
     * @param args
     */
    static int[][] f;
    static int[] digit;
    final static int maxm=4600;
    static int fun(int n){
        int res=0,tmp=1;
        while(n>0){
            res+=n%10*tmp;
            tmp<<=1;
            n/=10;
        }
        return res;
    }
    static void init(){
        int tmp=1;
        f=new int[10][maxm+1];
        f[0][0]=1;
        for(int i=1;i<10;i++){
            for(int j=0;j<=maxm;j++)
                for(int k=0;k<=9;k++)
                    if (j+tmp*k<=maxm)
                        f[i][j+tmp*k]+=f[i-1][j];
            tmp<<=1;
        }
        for(int i=0;i<10;i++)
            for(int j=1;j<=maxm;j++) f[i][j]+=f[i][j-1];
    }
    static int[] getdg(int n){
        int[] res=new int[10];
        while(n>0){
            res[++res[0]]=n%10;
            n/=10;
        }
        return res;
    }
    public static void main(String[] args) throws IOException{
        // TODO Auto-generated method stub
        InputReader in=new InputReader(System.in);
        PrintWriter out=new PrintWriter(System.out);
        init();
        int T=in.nextInt(),cas=0;
        while(T-->0){
            int A=in.nextInt();
            int B=in.nextInt();
            int m=fun(A);
            digit=getdg(B);
            int ans=0,tmp=1<<digit[0];
            for(int i=digit[0];i>=1;i--){
                tmp>>=1;
                for(int k=0;k<digit[i];k++){
                    
                    if (m-k*tmp>=0){
                        ans+=f[i-1][m-k*tmp];
                    }
                }
                m-=digit[i]*tmp;
                if (m<0) break;
                
            }
            if (m>=0) ans++;
            out.println("Case #"+(++cas)+": "+ans);
        }
        out.flush();
        out.close();
    }

}

磕磕绊绊的，到底有几大难？
期初是有过转化为背包问题的尝试，但是忽视了数位DP的处理手段；可先扩大枚举范围，再从中筛选。
预处理的两套循环不能杂糅在一起，因为先通过递推求了第i位、限制F(x)==j的解，然后才相加得到第i位、限制F(x)≤j的解。
筛选时注意“小于”的枚举方式。
最后还应留意B为可行解的条件。

1010 A Bit Fun

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/** Aug 22, 2015 4:28:18 PM
 * PrjName:hdu4737
 * @author Semprathlon
 */
import java.io.*;
import java.util.*;
public class Main {

    /**
     * @param args
     */
    static int[] a;
    static Queue<Integer> que=new LinkedList<Integer>();
    public static void main(String[] args) throws IOException{
        // TODO Auto-generated method stub
        InputReader in=new InputReader(System.in);
        PrintWriter out=new PrintWriter(System.out);
        int T=in.nextInt(),cas=0;
        while(T-->0){
            int n=in.nextInt();
            int m=in.nextInt();
            a=new int[n+1];
            que.clear();
            int ans=0;
            for(int i=1;i<=n;i++){
                a[i]=in.nextInt();
                int k=que.size();
                for(int j=0;j<k;j++){
                    int tmp=que.poll()|a[i];
                    if (tmp<m) que.add(tmp);
                }
                if (a[i]<m) que.add(a[i]);
                ans+=que.size();
            }
            out.println("Case #"+(++cas)+": "+ans);
        }
        out.flush();
        out.close();
    }

}

并没有实现有些题解中所说的O(nlogn)或O(30n)的算法，但总的运行时间还是较短的？

Posted Updated  Semprathlon / Simfae Dean ACM-ICPC / Programing2 minutes read (About 338 words)

BestCoder

1001 Victor and Machine

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 131072/65536 K (Java/Others)

  • Problem Description
    Victor has a machine. When the machine starts up, it will pop out a ball immediately. After that, the machine will pop out a ball every w seconds. However, the machine has some flaws, every time after x seconds of process the machine has to turn off for y seconds for maintenance work. At the second the machine will be shut down, it may pop out a ball. And while it’s off, the machine will pop out no ball before the machine restart.
    Now, at the 0 second, the machine opens for the first time. Victor wants to know when the n-th ball will be popped out. Could you tell him?

  • Input
    The input contains several test cases, at most 100 cases.
    Each line has four integers x, y, w and n. Their meanings are shown above。
    $ 1\leq x,y,w,n\leq 100 $ .

  • Output
    For each test case, you should output a line contains a number indicates the time when the n-th ball will be popped out.

  • Sample Input
    2 3 3 3
    98 76 54 32
    10 9 8 100

  • Sample Output
    10
    2664
    939

n-1的问题，自己刚开始出了点差错：

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/** Aug 22, 2015 7:03:37 PM
 * PrjName:Bc52-01
 * @author Semprathlon
 */
import java.io.*;
import java.util.*;
public class Main {

    /**
     * @param args
     */
    public static void main(String[] args) throws IOException{
        // TODO Auto-generated method stub
        StreamTokenizer in=new StreamTokenizer(new BufferedInputStream(System.in));
        PrintWriter out=new PrintWriter(System.out);
        while(in.nextToken()!=StreamTokenizer.TT_EOF){
            int x=(int)in.nval;
            in.nextToken();
            int y=(int)in.nval;
            in.nextToken();
            int w=(int)in.nval;
            in.nextToken();
            int n=(int)in.nval;
            if (n==1){
                out.println(0);continue;
            }
            if (w>x){
                out.println((n-1)*(x+y));continue;
            }
            else if (w==x){
                out.println((n-1)/2*(x+y)+(n-1)%2*x);continue;
            }
            else{
                int tmp=(x+w)/w;
                out.println((n-1)/tmp*(x+y)+(n-1)%tmp*w);continue;
            }
        }
        out.flush();
        out.close();
    }

}
Posted Updated  Semprathlon / Simfae Dean ACM-ICPC / Programinga few seconds read (About 73 words)

Solving LCM【C0n,C1n, ,Cnn】

摘自《具体数学·计算机科学基础（英文版·第二版）》第5章习题及其解答：
0FF23C24-69C5-417E-BFA3-04CE6D477E87

BBACCBCF-BE37-40B5-8416-DD3FB5C6061A

$ \epsilon_p(n)$denotes the exponent of the prime p in the standard factorization of positive integer n.

$ \epsilon_p(n)$表示正整数n的因式分解中，质数p的指数。

Posted Updated  Semprathlon / Simfae Dean ACM-ICPC / Programing3 minutes read (About 466 words)

BestCoder

1001 Distribution money

WA过一发，因为忽视了金额的分布范围。

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/**
 * 2015年8月8日 下午7:02:20
 * PrjName:Bc50-01
 * @ Semprathlon
 */
import java.io.*;
import java.util.*;
public class Main {
    static int[] a;
    static int maxn=10001;
    public static void main(String[] args) throws IOException{
        // TODO Auto-generated method stub
        StreamTokenizer in=new StreamTokenizer(new BufferedInputStream(System.in));
        PrintWriter out=new PrintWriter(System.out);
        a=new int[maxn];
        while(in.nextToken()!=StreamTokenizer.TT_EOF){
            int n=(int)in.nval;
            Arrays.fill(a, 0);
            for(int i=1;i<=n;i++){
                in.nextToken();
                int k=(int)in.nval;
                a[k]++;
            }
            int ans=-1;
            for(int i=0;i<maxn;i++)
                if ((a[i]<<1)>n)
                    ans=i;
            //if (n>1)
                out.println(ans);
            //else 
                //out.println(-1);
        }
        out.flush();
        out.close();
    }
}

1002 Run

明显搞复杂了，做了一回出题人眼中的“火星人”T_T
平面上的整点就是无法构成正三角形、正五边形、正六边形，没这点见识就只有瞎弄。。。
简化到这个地步，正方形的判断就应该仔细点了吧？四条边及两对角线的长度比较都写上， 

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/**
 * Nov 19, 2015 7:32:18 PM
 * PrjName: hdu5365
 * @semprathlon
 */
import java.io.*;
import java.util.*;
public class Main {
    static Point[] pt;
    static boolean check(Point p1,Point p2,Point p3,Point p4){
        double[] v=new double[6];
        v[0]=Point.dist(p1, p2);
        v[1]=Point.dist(p2, p3);
        v[2]=Point.dist(p3, p4);
        v[3]=Point.dist(p1, p4);
        v[4]=Point.dist(p1, p3);
        v[5]=Point.dist(p2, p4);
        Arrays.sort(v);
        return v[0]==v[1]&&v[1]==v[2]&&v[2]==v[3]&&v[4]==v[5];
    }
    public static void main(String[] args) throws IOException{
        InputReader in=new InputReader(System.in);
        PrintWriter out=new PrintWriter(System.out);
        while(in.nextLine()!=null){
            int n=in.nextInt();
            pt=new Point[n];
            for(int i=0;i<n;i++)
                pt[i]=new Point(in.nextInt(), in.nextInt());
            int ans=0;
            for(int i=0;i<n;i++)
                for(int j=i+1;j<n;j++)
                    for(int k=j+1;k<n;k++)
                        for(int l=k+1;l<n;l++){
                            Point p1=pt[i],p2=pt[j],p3=pt[k],p4=pt[l];
                            if (check(p1, p2, p3, p4))
                                ans++;
                        }
            out.println(ans);
        }
        out.flush();
        out.close();
    }
}

1003 The mook jong

多么有教育意义的猜公式，猜不出就别偏执了。。。
f[i]=s[i-3]+1,s[i]=s[i-1]+f[i],…

Posted Updated  Semprathlon / Simfae Dean ACM-ICPC / Programing3 minutes read (About 467 words)

Bestcoder

1001 Untitled

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/65536 K (Java/Others) 

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/**
 * 2015年8月1日 下午7:15:14
 * PrjName:Bc49-01
 * @ Semprathlon
 */
import java.io.*;
import java.util.*;
public class Main {
    static ArrayList<Integer> v=new ArrayList<Integer>();
    static int[] a,f;
    static int lowbit(int x){
        return x&(-x);
    }
    static int get(int x){
        int res=0;
        while(x>0){
            res++;
            x-=lowbit(x);
        }
        return res;
    }
    public static void main(String[] args) throws IOException{
        // TODO Auto-generated method stub
        InputReader in=new InputReader(System.in);
        PrintWriter out=new PrintWriter(System.out);
        int T=in.nextInt();
        while(T-->0){
            v.clear();
            int n=in.nextInt();
            int m=in.nextInt();
            for(int i=1;i<=n;i++)
                v.add(in.nextInt());
            Collections.sort(v);
            f=new int[1<<n];
            Arrays.fill(f, -1);
            f[0]=m;
            //out.println(n);
            int ans=Integer.MAX_VALUE;
            for(int i=0;i<(1<<n);i++)
                if (f[i]>0)
                    for(int j=0;j<n;j++)
                        if (((1<<j)&i)==0){
                            int k=i|(1<<j);
                            f[k]=f[i]%v.get(j);
                            if (f[k]==0)
                                ans=Math.min(ans, get(k));
                        }
            if (ans==Integer.MAX_VALUE) out.println(-1);
            else out.println(ans);
        }
        out.flush();
        out.close();
    }
}

1002 Three Palindromes

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/65536 K (Java/Others)

  • Problem Description
    Can we divided a given string S into three nonempty palindromes?

  • Input
    First line contains a single integer $ T \leq 20 $ which denotes the number of test cases.
    For each test case , there is an single line contains a string S which only consist of lowercase English letters. $ 1\leq |s| \leq 20000 $

  • Output
    For each case, output the “Yes” or “No” in a single line.

  • Sample Input
    2
    abc
    abaadada

  • Sample Output
    Yes
    No

赛时的Hash做法：

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/**
 * 2015年8月1日 下午7:47:15
 * PrjName:Bc49-02
 * @ Semprathlon
 */
import java.io.*;
import java.util.*;
public class Main {
    static long pri=29L;
    static long lh(String s,long res,int p){
        return res*pri+(long)(s.charAt(p)-'a');
    }
    static long rh(String s,long res,int p,long m){
        return res+(long)(s.charAt(p)-'a')*m;
    }
    static BitSet v=new BitSet(20010);
    public static void main(String[] args) throws IOException{
        // TODO Auto-generated method stub
        InputReader in=new InputReader(System.in);
        PrintWriter out=new PrintWriter(System.out);
        int T=in.nextInt();
        while(T-->0){
            String s=new String(in.next());
            int len=s.length();
            //s=s+"#"+(new StringBuffer(s).reverse().toString());
            //out.println(s);
            boolean ans=false;
            long l1=0L,r1=0L,tmp=1L;
            for(int i=0;i<len;i++){
                if (ans) break;
                l1=lh(s, l1, i);
                r1=rh(s, r1, i, tmp);
                //out.println(i+" "+l1+" "+r1);
                tmp*=pri;
                //if ((i&1)>0) continue;
                if (l1==r1){
                    //out.println("f"+i);
                    long l2=0L,r2=0L,tmp2=1L;
                    v.clear();
                    for(int j=i+1;j<len;j++){
                        l2=lh(s,l2,j);
                        r2=rh(s,r2,j,tmp2);
                        tmp2*=pri;
                        //if (((j-i+1)&1)>0) continue;
                        if (l2==r2) v.set(j);
                    }
                    
                    l2=0L;r2=0L;tmp2=1L;
                    for(int j=len-1;j>i;j--){
                        l2=lh(s,l2,j);
                        r2=rh(s,r2,j,tmp2);
                        tmp2*=pri;
                        //if (((len-j+1)&1)>0) continue;
                        if (l2==r2&&v.get(j-1)){
                            ans=true;break;
                        }
                    }
                }
            }
            out.println(ans?"Yes":"No");
        }
        out.flush();
        out.close();
    }
}

首次尝试去hack别人不成，还被人黑了，立马TLE

题解介绍的多种方法中，个人认为二分+hash代码量较少，如何实现？

Posted Updated  Semprathlon / Simfae Dean ACM-ICPC / Programinga minute read (About 156 words)

2015 Multi-University Training Contest 5

1009 MZL’s Border

字符串是可递归形式构造的，求解也是递归的；
但是递归时划分的三种情况，最终并没有做好化归 

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import java.io.*;
import java.util.*;
import java.math.*;
public class Main{
    static BigInteger f[] = new BigInteger[1005];
    public static void main(String[] args){
        f[1] = new BigInteger("1");
        f[2] = new BigInteger("2");
        for(int i = 3; i <= 1001; i++)
            f[i] = f[i - 1].add(f[i - 2]);
        Scanner cin = new Scanner(System.in);
        int T = cin.nextInt();
        int n;
        BigInteger m;
        for(int cas = 1; cas <= T; cas++){
            n = cin.nextInt();
            m = cin.nextBigInteger();
            BigInteger mm = m.add(new BigInteger("1"));
            int p = 0;
            for(int i = 1; i <= 1001; i++){
                if(f[i].compareTo(mm) > 0){
                    p = i;
                    break;
                }
            }
            BigInteger ans = m.subtract(f[p - 2]);
            System.out.println(ans.mod(new BigInteger("258280327")));
        }
        
    }
}
Posted Updated  Semprathlon / Simfae Dean ACM-ICPC / Programing3 minutes read (About 436 words)

2015 Multi-University Training Contest 4

1009 Walk Out

状态压缩方面，虽然想到了用一维的x+y替代二维的x,y，但并没有做到位。
既然可以转化成二维DP，还有何搜索必要
寻找合适的出发点时，不要陷入“极近点”而丢失了“最近点”！ 

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#include<cctype>

#include<cstdio>
#include<cstring>
#include<algorithm>
#include<iostream>
#include<string>
#include<queue>
#include<stack>
#include<set>
#include<map>
#pragma comment(linker, "/STACK:102400000,102400000")
using namespace std;
typedef long long LL;
typedef unsigned long long ULL;
const int inf=0x7fffffff;
const double eps=1e-3;

typedef pair<int,int> pr;
const int dir[4][2]={ {0,-1},{0,1},{-1,0},{1,0}};
const int maxn=1010;
const int maxm=1010;
int n,m,X0,Y0;
bool g[maxn][maxm],f[maxn][maxm],vis[maxn][maxm];
char str[maxn];

bool can(int x,int y){
    if (x<1||x>n||y<1||y>m) return 0;
    return 1;
}
bool can(pr p){
    return can(p.first,p.second);
}
int mdis(int x,int y){
    return abs(x-n)+abs(y-m);
}
int mdis(pr p){
    return mdis(p.first,p.second);
}
int geth(pr p){
    return p.first+p.second;
}

void find0(int x,int y){
        if (vis[x][y]||!can(x,y)) return;
        vis[x][y]=1;
        if (g[x][y]) return;
        f[x][y]=1;
        if (x+y>X0+Y0)
        {
            X0=x;Y0=y;
        }
        for(int i=0;i<4;i++) find0(x+dir[i][0],y+dir[i][1]);
}


int main()
{
    int T;
    scanf("%d",&T);
    while(T--)
    {

        scanf("%d%d",&n,&m);
        for(int i=1;i<=n;i++)
        {
            scanf("%s",str+1);
            for(int j=1;j<=m;j++)
            {
                if (str[j]=='1') g[i][j]=1;
                else g[i][j]=0;
            }
        }

        X0=0;Y0=0;
        memset(vis[0],0,maxn*maxm*sizeof(vis[0][0]));
        memset(f[0],0,maxn*maxm*sizeof(f[0][0]));
        find0(1,1);
        //cout<<X0<<' '<<Y0<<endl;
        if (X0+Y0==n+m){
            printf("%d\n",0);
            continue;
        }
        if (X0+Y0<2)
        {
            X0=1;Y0=1;
            f[1][1]=1;
            printf("1");
        }
        for(int i=X0+Y0;i<n+m;i++)
        {
            int k=1;
            for(int j=max(1,i-m);j<=min(n,i-1);j++)
                if (f[j][i-j])
            {
                int k1=j<n?g[j+1][i-j]:1;
                int k2=i-j<m?g[j][i-j+1]:1;
                k=min(k,min(k1,k2));
            }
            for(int j=max(1,i-m);j<=min(n,i-1);j++)
                if (f[j][i-j])
            {
                int k1=j<n?g[j+1][i-j]:1;
                int k2=i-j<m?g[j][i-j+1]:1;
                if (k1==k) f[j+1][i-j]=1;
                if (k2==k) f[j][i-j+1]=1;
            }
            printf("%d",k);
        }
        puts("");
    }
    return 0;
}
Posted Updated  Semprathlon / Simfae Dean ACM-ICPC / Programing4 minutes read (About 633 words)

2015 Multi-University Training Contest 3

1001 Magician

具有肉眼可见的可用线段树解决的统计操作要求。
但是区间更新异常繁杂。
不要拘泥于区间内具体的数据选取，而应该采用状态转移。
除了向上传递操作以外，注意查询操作时不要把区段查询结果直接更新到左右子树上（覆盖区域并不一致） 

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/**
 * 2015年7月29日 上午10:35:39
 * PrjName:hdu5316-2
 * @ Semprathlon
 */
import java.io.*;
import java.util.*;

public class Main {
    final static long inf=0x4000000000000000L;
    final static int maxn=100010;
    static int[] a=new int[maxn+1];
    static SegTree tr=new SegTree(1, maxn);
    public static void main(String[] args) {
        // TODO Auto-generated method stub
        InputReader in=new InputReader(System.in);
        PrintWriter out=new PrintWriter(System.out);
        int T=in.nextInt();
        while(T-->0){
            int n=in.nextInt();
            int m=in.nextInt();
            for(int i=1;i<=n;i++) 
                a[i]=in.nextInt();
            tr.reset(1,1, n, a);
            for(int i=1;i<=m;i++){
                int k=in.nextInt();
                int x=in.nextInt();   
                if (k==0){
                    //out.println(tr.query(x, y));
                    int y=in.nextInt();
                    long ans=-inf;
                    long[] res=tr.query(1,x, y);
                    for(int j=0;j<4;j++)
                        ans=Math.max(ans, res[j]);
                    out.println(ans);
                }
                else{
                    long y=in.nextLong();
                    tr.update(1,x, y);
                }
                    
            }
        }
        out.flush();
        out.close();
    }

}

class SegTree{
    final static long inf=0x4000000000000000L;
    int[] l,r,mid;
    long[][] s;
    SegTree(int x,int y){
        l=new int[(y-x+2)<<2];
        r=new int[(y-x+2)<<2];
        mid=new int[(y-x+2)<<2];
        s=new long[(y-x+2)<<2][4];
        build(1,x,y);
    }
    void build(int k,int x,int y){
        /*l=x;r=y;*/mid[k]=(x+y)>>1;
        if (x<y){
            build(k<<1,x, mid[k]);
            build(k<<1|1,mid[k]+1, y);
        }
        //s0=s1=s2=s3=-inf;
    }
    void reset(int k,int x,int y,int[] a){
        l[k]=x;r[k]=y;mid[k]=(x+y)>>1;
        if (x<y){
            reset(k<<1,x, mid[k], a);
            reset(k<<1|1,mid[k]+1, y, a);
            up(s[k],s[k<<1],s[k<<1|1]);
        }
        else{
            if ((mid[k]&1)>0){//odd
                s[k][0]=a[mid[k]];
                s[k][1]=s[k][2]=s[k][3]=-inf;
            }
            else{//even
                s[k][3]=a[mid[k]];
                s[k][0]=s[k][1]=s[k][2]=-inf;
            }
        }
            
    }
    void up(long[] k,long[] l,long[] r){
        k[0]=k[1]=k[2]=k[3]=-inf;
        k[0]=Math.max(k[0], l[0]+r[2]);//odd-odd
        k[0]=Math.max(k[0], l[1]+r[0]);
        
        k[1]=Math.max(k[1], l[1]+r[1]);//odd-even
        k[1]=Math.max(k[1], l[0]+r[3]);
        
        k[2]=Math.max(k[2], l[2]+r[2]);//even-odd
        k[2]=Math.max(k[2], l[3]+r[0]);
        
        k[3]=Math.max(k[3], l[3]+r[1]);//even-even
        k[3]=Math.max(k[3], l[2]+r[3]);
        
        k[0]=Math.max(k[0], l[0]);
        k[0]=Math.max(k[0], r[0]);
        
        k[1]=Math.max(k[1], l[1]);
        k[1]=Math.max(k[1], r[1]);
        
        k[2]=Math.max(k[2], l[2]);
        k[2]=Math.max(k[2], r[2]);
        
        k[3]=Math.max(k[3], l[3]);
        k[3]=Math.max(k[3], r[3]);
    }
    long[] query(int k,int x,int y){
        long[] res=new long[4];
        if (x==l[k]&&r[k]==y){
            res=s[k].clone();
        }
        else{
            long[] L,R;
            if (x<=mid[k]) L=query(k<<1,x,Math.min(y, mid[k])).clone();
            else L=new long[]{-inf,-inf,-inf,-inf};
            if (mid[k]<y) R=query(k<<1|1,Math.max(mid[k]+1, x),y).clone();
            else R=new long[]{-inf,-inf,-inf,-inf};
            up(res,L,R);
        }
        return res;
    }
    void update(int k,int x,long d){
        if (l[k]==r[k]){
            if ((mid[k]&1)>0){//odd
                s[k][0]=d;
                s[k][1]=s[k][2]=s[k][3]=-inf;
            }
            else{//even
                s[k][3]=d;
                s[k][0]=s[k][1]=s[k][2]=-inf;
            }
            return;
        }
        if (x<=mid[k]) update(k<<1,x,d);
        if (mid[k]<x) update(k<<1|1,x,d);
        up(s[k],s[k<<1],s[k<<1|1]);
    }
}

class InputReader{
    public BufferedReader reader;
    public StringTokenizer tokenizer;

    public InputReader(InputStream stream){
           reader = new BufferedReader(new InputStreamReader(stream), 32768);
           tokenizer = null;
    }

    public String next(){
        while(tokenizer == null || !tokenizer.hasMoreTokens()){
            try{
                tokenizer = new StringTokenizer(reader.readLine());
            }catch (IOException e) {
                throw new RuntimeException(e);
            }
        }
        return tokenizer.nextToken();
    }

    public int nextInt() {
        return Integer.parseInt(next());
    }

    public long nextLong() {
        return Long.parseLong(next());
    }
}

1010 Crazy Bobo

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