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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，從根節點出發搜索解空間樹，算法搜索至解空間樹的任一節點時，總是先判斷該節點是否肯定不包含問題的解。如果肯定不包含，則跳過對該節點為根的子樹的系統搜索，逐層向其祖先節點回溯，否則進入該子樹，繼續按照深度優先的策略進行搜索。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束。
    
這種深度優先的解的算法稱為回溯法，它適合于解一些組合數較大的問題。
    

    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 創建 sitinspring 2008-7-8 上午10:34:28
    
     */
    
    public class EightQueenBacktrack{
    
        // 皇后數量
    
        private int queenCount;
    
    
    
        // 存放皇后縱坐標的數組
    
        private int[] arr;
    
    
    
        /**
    
     * 構造函數
    
     *     @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 ■ ■ 
    
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■ ■ ■ Q ■ ■ ■ ■ 
    
■ Q ■ ■ ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ ■ Q 
    
■ ■ ■ ■ ■ Q ■ ■ 
    
Q ■ ■ ■ ■ ■ ■ ■ 
    
■ ■ Q ■ ■ ■ ■ ■ 
    
■ ■ ■ ■ Q ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ Q ■ 
    
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■ ■ ■ Q ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ Q ■ ■ 
    
Q ■ ■ ■ ■ ■ ■ ■ 
    
■ ■ ■ ■ Q ■ ■ ■ 
    
■ Q ■ ■ ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ ■ Q 
    
■ ■ Q ■ ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ Q ■ 
    
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■ ■ ■ Q ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ Q ■ ■ 
    
■ ■ ■ ■ ■ ■ ■ Q 
    
■ Q ■ ■ ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ Q ■ 
    
Q ■ ■ ■ ■ ■ ■ ■ 
    
■ ■ Q ■ ■ ■ ■ ■ 
    
■ ■ ■ ■ Q ■ ■ ■ 
    
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■ ■ ■ Q ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ Q ■ ■ 
    
■ ■ ■ ■ ■ ■ ■ Q 
    
■ ■ Q ■ ■ ■ ■ ■ 
    
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■ ■ ■ ■ ■ ■ Q ■ 
    
■ ■ ■ ■ Q ■ ■ ■ 
    
■ Q ■ ■ ■ ■ ■ ■ 
    
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■ ■ ■ Q ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ Q ■ 
    
Q ■ ■ ■ ■ ■ ■ ■ 
    
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■ ■ ■ ■ Q ■ ■ ■ 
    
■ Q ■ ■ ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ Q ■ ■ 
    
■ ■ Q ■ ■ ■ ■ ■ 
    
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■ ■ ■ Q ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ Q ■ 
    
■ ■ Q ■ ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ ■ Q 
    
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■ ■ ■ ■ Q ■ ■ ■ 
    
Q ■ ■ ■ ■ ■ ■ ■ 
    
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■ ■ ■ Q ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ Q ■ 
    
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Q ■ ■ ■ ■ ■ ■ ■ 
    
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■ ■ ■ Q ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ Q ■ 
    
■ ■ ■ ■ Q ■ ■ ■ 
    
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■ ■ ■ ■ ■ Q ■ ■ 
    
■ ■ ■ ■ ■ ■ ■ Q 
    
■ Q ■ ■ ■ ■ ■ ■ 
    
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■ ■ ■ Q ■ ■ ■ ■ 
    
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Q ■ ■ ■ ■ ■ ■ ■ 
    
■ ■ Q ■ ■ ■ ■ ■ 
    
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■ Q ■ ■ ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ Q ■ 
    
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■ ■ ■ Q ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ ■ Q 
    
Q ■ ■ ■ ■ ■ ■ ■ 
    
■ ■ ■ ■ Q ■ ■ ■ 
    
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■ Q ■ ■ ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ Q ■ ■ 
    
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■ ■ ■ Q ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ ■ Q 
    
■ ■ ■ ■ Q ■ ■ ■ 
    
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Q ■ ■ ■ ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ Q ■ 
    
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■ ■ ■ ■ Q ■ ■ ■ 
    
Q ■ ■ ■ ■ ■ ■ ■ 
    
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■ Q ■ ■ ■ ■ ■ ■ 
    
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■ ■ ■ ■ Q ■ ■ ■ 
    
Q ■ ■ ■ ■ ■ ■ ■ 
    
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■ ■ ■ ■ ■ ■ Q ■ 
    
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■ ■ ■ ■ Q ■ ■ ■ 
    
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■ ■ ■ ■ ■ Q ■ ■ 
    
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■ ■ ■ ■ ■ ■ Q ■ 
    
■ Q ■ ■ ■ ■ ■ ■ 
    
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■ ■ ■ ■ Q ■ ■ ■ 
    
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■ ■ Q ■ ■ ■ ■ ■ 
    
Q ■ ■ ■ ■ ■ ■ ■ 
    
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■ ■ ■ ■ Q ■ ■ ■ 
    
■ Q ■ ■ ■ ■ ■ ■ 
    
■ ■ ■ Q ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ Q ■ 
    
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■ ■ ■ ■ ■ ■ ■ Q 
    
■ ■ ■ ■ ■ Q ■ ■ 
    
Q ■ ■ ■ ■ ■ ■ ■ 
    
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■ ■ ■ ■ Q ■ ■ ■ 
    
■ Q ■ ■ ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ Q ■ ■ 
    
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■ ■ ■ Q ■ ■ ■ ■ 
    
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■ ■ ■ ■ Q ■ ■ ■ 
    
■ Q ■ ■ ■ ■ ■ ■ 
    
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■ ■ ■ ■ ■ ■ Q ■ 
    
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■ ■ ■ ■ ■ Q ■ ■ 
    
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■ ■ ■ ■ Q ■ ■ ■ 
    
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■ Q ■ ■ ■ ■ ■ ■ 
    
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■ ■ ■ ■ ■ ■ ■ Q 
    
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■ ■ ■ Q ■ ■ ■ ■ 
    
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■ ■ ■ ■ Q ■ ■ ■ 
    
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Q ■ ■ ■ ■ ■ ■ ■ 
    
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■ Q ■ ■ ■ ■ ■ ■ 
    
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■ ■ ■ ■ Q ■ ■ ■ 
    
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■ ■ ■ ■ ■ Q ■ ■ 
    
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■ ■ ■ ■ Q ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ Q ■ 
    
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■ ■ ■ ■ ■ ■ ■ Q 
    
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■ ■ Q ■ ■ ■ ■ ■ 
    
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■ ■ ■ ■ Q ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ Q ■ 
    
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■ ■ ■ ■ Q ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ Q ■ 
    
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■ ■ Q ■ ■ ■ ■ ■ 
    
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■ ■ ■ ■ Q ■ ■ ■ 
    
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■ ■ ■ ■ Q ■ ■ ■ 
    
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■ ■ ■ ■ ■ ■ ■ Q 
    
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■ Q ■ ■ ■ ■ ■ ■ 
    
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■ ■ ■ ■ Q ■ ■ ■ 
    
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■ ■ ■ ■ ■ Q ■ ■ 
    
■ Q ■ ■ ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ Q ■ 
    
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■ ■ ■ ■ Q ■ ■ ■ 
    
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■ Q ■ ■ ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ Q ■ ■ 
    
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■ ■ ■ ■ ■ Q ■ ■ 
    
Q ■ ■ ■ ■ ■ ■ ■ 
    
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■ ■ Q ■ ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ Q ■ 
    
■ ■ ■ Q ■ ■ ■ ■ 
    
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■ ■ ■ ■ ■ Q ■ ■ 
    
■ Q ■ ■ ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ Q ■ 
    
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■ ■ ■ ■ Q ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ ■ Q 
    
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■ ■ ■ ■ ■ Q ■ ■ 
    
■ Q ■ ■ ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ Q ■ 
    
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■ ■ ■ ■ ■ ■ ■ Q 
    
■ ■ ■ ■ Q ■ ■ ■ 
    
■ ■ Q ■ ■ ■ ■ ■ 
    
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■ ■ ■ ■ ■ Q ■ ■ 
    
■ ■ Q ■ ■ ■ ■ ■ 
    
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■ ■ ■ ■ ■ ■ ■ Q 
    
■ Q ■ ■ ■ ■ ■ ■ 
    
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■ ■ ■ ■ ■ Q ■ ■ 
    
■ ■ Q ■ ■ ■ ■ ■ 
    
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■ Q ■ ■ ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ Q ■ 
    
■ ■ ■ ■ Q ■ ■ ■ 
    
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■ ■ ■ ■ ■ Q ■ ■ 
    
■ ■ Q ■ ■ ■ ■ ■ 
    
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■ Q ■ ■ ■ ■ ■ ■ 
    
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■ ■ ■ ■ ■ Q ■ ■ 
    
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■ ■ ■ ■ ■ Q ■ ■ 
    
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■ ■ ■ Q ■ ■ ■ ■ 
    
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■ ■ ■ ■ ■ Q ■ ■ 
    
■ ■ Q ■ ■ ■ ■ ■ 
    
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■ ■ ■ ■ ■ Q ■ ■ 
    
■ ■ Q ■ ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ Q ■ 
    
■ Q ■ ■ ■ ■ ■ ■ 
    
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■ ■ ■ ■ Q ■ ■ ■ 
    
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■ ■ ■ ■ ■ Q ■ ■ 
    
■ ■ Q ■ ■ ■ ■ ■ 
    
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■ Q ■ ■ ■ ■ ■ ■ 
    
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■ ■ ■ ■ ■ Q ■ ■ 
    
■ ■ ■ Q ■ ■ ■ ■ 
    
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■ Q ■ ■ ■ ■ ■ ■ 
    
■ ■ ■ ■ ■ ■ Q ■ 
    
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■ ■ ■ ■ ■ Q ■ ■ 
    
■ ■ ■ Q ■ ■ ■ ■ 
    
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■ ■ ■ ■ ■ ■ Q ■ 
    
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■ ■ ■ ■ ■ Q ■ ■ 
    
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■ ■ ■ ■ Q ■ ■ ■ 
    
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■ ■ ■ ■ ■ Q ■ ■ 
    
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■ Q ■ ■ ■ ■ ■ ■ 
    
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■ ■ ■ ■ ■ Q ■ ■ 
    
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■ ■ ■ ■ ■ ■ Q ■ 
    
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■ ■ ■ Q ■ ■ ■ ■ 
    
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■ ■ ■ ■ ■ ■ Q ■ 
    
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■ ■ ■ ■ Q ■ ■ ■ 
    
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			posted on 2008-07-08 11:38 sitinspring 閱讀(768) 評論(0)  編輯  收藏  所屬分類: 算法數據結構 
		
    
	
    







    
	    
    




    








    

				
			
    
			
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