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			八皇后回溯版
		
          
		
          回溯法有“通用的解題法“之稱。用它可以系統(tǒng)的搜索一個問題的所有解或任一解。會所法是一個既帶有系統(tǒng)性又帶有跳躍性的搜索算法，他在包含問題的所有解的解空間樹中，按照深度有限的策略，從根節(jié)點出發(fā)搜索解空間樹，算法搜索至解空間樹的任一節(jié)點時，總是先判斷該節(jié)點是否肯定不包含問題的解。如果肯定不包含，則跳過對該節(jié)點為根的子樹的系統(tǒng)搜索，逐層向其祖先節(jié)點回溯，否則進入該子樹，繼續(xù)按照深度優(yōu)先的策略進行搜索。回溯法在用來求問題的任一接時，只要搜索到問題的一個解就可以結(jié)束。
          
這種深度優(yōu)先的解的算法稱為回溯法，它適合于解一些組合數(shù)較大的問題。
          

          用回溯法解n皇后問題時，可以用一棵完全n叉樹來表示其解空間。剪去不滿足行列和斜線攻擊的子樹后，剩下的就是問題的解答。
          

          

          代碼：
          

          

          package com.sitinspring;
          

          
          /**
          
 * 八皇后問題回溯版
          
 *           @author sitinspring（junglesong@gmail.com）
          
 *           @since 2008-7-8 上午10:34:28
          
 * @vsersion 1.00 創(chuàng)建 sitinspring 2008-7-8 上午10:34:28
          
           */
          
          public class EightQueenBacktrack{
          
              // 皇后數(shù)量
          
              private int queenCount;
          
    
          
              // 存放皇后縱坐標(biāo)的數(shù)組
          
              private int[] arr;
          
    
          
              /**
          
     * 構(gòu)造函數(shù)
          
     *           @param queenCount
          
               */
          
              public EightQueenBacktrack(int queenCount){
          
                  this.queenCount=queenCount;
          
        arr          =new int[queenCount];
          
        
          
                  // 從第零個皇后開始放置
          
                  backtrack(0);
          
    }
          
    
          
              /**
          
     * 顯示n皇后在棋盤中位置
          
     *
          
               */
          
              private void displayArr(){
          
        System.out.println(          "-------"+queenCount+"------>");
          
                  for(int i=0;i<queenCount;i++){
          
                      for(int j=0;j<queenCount;j++){
          
                          if(arr[i]!=j){
          
                    System.out.print(          "■ ");
          
                }
          
                          else{
          
                    System.out.print(          "Q ");
          
                }
          
            }
          
            
          
            System.out.println();
          
        }
          
        System.out.println(          "<-------"+queenCount+"------");
          
    }
          
    
          
              /**
          
     * 判斷處于第n位的皇后是否與前面的皇后沖突
          
     *           @param n
          
     *           @return
          
               */
          
              private boolean isValidPos(int n){
          
                  for(int i=0;i<n;i++){
          
                      // 斜線鑒別和列鑒別。行鑒別無須參與
          
                      if(Math.abs(n-i)==Math.abs(arr[n]-arr[i]) || arr[i]==arr[n]){
          
                          return false;
          
            }
          
        }
          
        
          
                  return true;
          
    }
          
    
          
              /**
          
     * 回溯依次安放皇后的位置
          
     *           @param column
          
               */
          
              private void backtrack(int column){
          
                  if(column==queenCount){    
          
                      // 進入這里表示前面的queenCount個皇后都已經(jīng)放在了正確的位置
          
                      displayArr();    // 顯示皇后    
          
                      return;
          
        }
          
                  else{
          
                      for(int i=0;i<queenCount;i++){
          
                          // 皇后共有queenCount個位置可選
          
                          arr[column]=i;
          
                          if(isValidPos(column)){
          
                              // 安放下一個皇后
          
                              backtrack(column+1);
          
                }
          
            }
          
        }
          
    }
          
    
          
              /**
          
     * 程序入口
          
     *           @param args
          
               */
          
              public static void main(String[] args){
          
                  new EightQueenBacktrack(8);
          
        
          
                  /*for(int i=1;i<20;i++){
          
            new EightQueenBacktrack(i);
          
        }          */
          
    }
          
}
          

          

          
輸出：
          

          -------8------>
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ Q ■ ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ Q ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ Q ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ Q ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ Q ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ Q ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ ■ Q ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ ■ ■ Q ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
          <-------8------
          
          -------8------>
          
■ ■ ■ ■ ■ ■ Q ■ 
          
■ Q ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ Q ■ ■ ■ ■ 
          
Q ■ ■ ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ ■ ■ Q 
          
■ ■ ■ ■ Q ■ ■ ■ 
          
■ ■ Q ■ ■ ■ ■ ■ 
          
■ ■ ■ ■ ■ Q ■ ■ 
          
          <-------8------
          
          -------8------>
          
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			posted on 2008-07-08 11:38 sitinspring 閱讀(772) 評論(0)  編輯  收藏  所屬分類: 算法數(shù)據(jù)結(jié)構(gòu) 
		
          
	
          







          
	    
    




          








          

				
			
          
			
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