Buttercola: Zenefits: [OA] N-queens max threats


Buttercola: Zenefits: [OA] N-queens max threats
就是说 第1行第1个是queen 第2行第2个是queen,并保证输入的数字不重复,这样可以得出一个结论:同一行 同一列不会出现2个queen。
题目要求是求出 对于每个Queen, 最大的威胁次数,威胁指只要一个queen所能移动的范围内有别的queen就算威胁 P.S.同一方向上有2个queen威胁你 只算最近的那个。. 鐣欏鐢宠璁哄潧-涓€浜╀笁鍒嗗湴
由于同一行 同一列不会出现2个queen。(由于输入限制)所以只要考虑对角线 和逆对角线。
举个例子: 棋盘是:. 鐣欏鐢宠璁哄潧-涓€浜╀笁鍒嗗湴
100           ---- 1号 queen
010           ---- 2号 queen
001           ---- 3号 queen
1号和3号queen的受威胁次数都是1, 2号是2(被1和3) 所以答案是2
    public static int maxThreats(int[] queens) {
        if (queens == null || queens.length <= 1) {
            return 0;
        }
         
        int n = queens.length;
        int max = 0;
         
        for (int row = 0; row < n; row++) {
            int curMaxThreats = 0;
            int col = queens[row] - 1;
             
            curMaxThreats = getNumThreats(row, col, queens);
             
            max = Math.max(max, curMaxThreats);
            if (max == 4) {
                return max;
            }
        }
         
        return max;
    }
     
    private static int getNumThreats(int row, int col, int[] queens) {
        int numThreats = 0;
        int n = queens.length;
         
        // up-left
        int i = row - 1;
        while (i >= 0 && (row - i != col - queens[i] + 1)) {
            i--;
        }
         
        if (i >= 0) {
            numThreats += 1;
        }
         
        // down-right
        i = row + 1;
        while (i < n && (i - row != queens[i] - 1 - col)) {
            i++;
        }
         
        if (i < n) {
            numThreats +=1;
        }
         
        // up-right
        i = row - 1;
        while (i >= 0 && (row - i != queens[i] - 1 - col)) {
            i--;
        }
         
        if (i >= 0) {
            numThreats += 1;
        }
         
        // Down-left
        i = row + 1;
        while (i < n && (i - row) != col - queens[i] + 1) {
            i++;
        }
         
        if (i < n) {
            numThreats += 1;
        }
         
        return numThreats;
    }
http://www.1point3acres.com/bbs/thread-131978-1-1.html
棋盘上放queen 已经保证同一行或者同一列不会出现2个queen,求出对于每个Queen最大的威胁次数威胁指只要一个queen所能移动的范围(对于这道题就是对角线)内有别的queen就算威胁。
  1.         int maxThreats(int[] a) {
  2.         int len = a.length;. Waral 鍗氬鏈夋洿澶氭枃绔�,
  3.         if (len == 0) return 0;
  4.         int[] threat = new int[len]; // max threats for queen in each row
  5.         Map<Integer, Integer> diag1 = new HashMap();. 1point 3acres 璁哄潧
  6.         Map<Integer, Integer> diag2 = new HashMap();
  7.         for (int i = 0; i < len; i++){
  8.             int col = a[i] - 1;.鐣欏璁哄潧-涓€浜�-涓夊垎鍦�
  9.             if (diag1.containsKey(i - col)){
  10.                 threat[i]++;
  11.                 threat[diag1.get(i - col)]++;
  12.             }
  13.             diag1.put(i - col, i); 鏉ユ簮涓€浜�.涓夊垎鍦拌鍧�. 
  14.             if (diag2.containsKey(i + col)){
  15.                 threat[i]++;. Waral 鍗氬鏈夋洿澶氭枃绔�,
  16.                 threat[diag2.get(i + col)]++;
  17.             }
  18.             diag2.put(i + col, i);.1point3acres缃�
  19.         }
  20.         int maxThreat = 0;
  21.         for (int i = 0; i < len; i++){
  22.             maxThreat = Math.max(maxThreat, threat[i]);
  23.         }.鐣欏璁哄潧-涓€浜�-涓夊垎鍦�
  24.         return maxThreat;
  25.     }

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