鎺掑簭涓撻锛堝洓锛夎鏁版帓搴忋€佹《鎺掑簭

Posted 2021-04-13 Coding鐨勫摂鍝斿彣鍙?/a>

馃憠馃憖馃挰浠婃棩缁冧範锛堜竴锛?span class="mq-3">璁℃暟鎺掑簭锛圕ounting Sort锛?/strong> 銆?/span>

馃檱鎬濊矾

璁℃暟鎺掑簭鏄竴绉嶇ǔ瀹氱殑鎺掑簭绠楁硶锛屼絾鏄渶瑕侀澶栫殑绌洪棿娑堣€椼€傝鏁版帓搴忕殑鏍稿績鎬濇兂灏辨槸缁熻搴忓垪涓殑鍊煎嚭鐜扮殑娆℃暟鏀惧湪棰濆鐨勬暟缁凜涓紝鏍规嵁鏁扮粍C灏嗗簭鍒椾腑鐨勫厓绱犺繘琛屾纭殑鎺掑簭銆傛帴涓嬫潵鎴戜滑鏉ョ湅鍏蜂綋鐨勬楠わ細

1. 鎵惧嚭搴忓垪涓殑鏈€澶?max)鏈€灏忓€?min)銆?/span>

2. 鍒涘缓涓€涓暱搴︿负(max-min+1)鐨勬暟缁凜銆?/span>

3. 缁熻搴忓垪涓殑姣忎釜鍏冪礌(val)鍑虹幇鐨勬鏁帮紝鏀惧湪鏁扮粍C涓val涓綅缃銆?/span>

4. 寰幆鏁扮粍C锛屽苟寰幆鍑虹幇鐨勬鏁帮紝杈撳嚭鏂版暟缁勩€?/span>

public int[] countSort(int[] A) { //涓€锛氭眰鍙栨渶澶у€煎拰鏈€灏忓€硷紝璁＄畻涓棿鏁扮粍鐨勯暱搴︼細  // 涓棿鏁扮粍鏄敤鏉ヨ褰曞師濮嬫暟鎹腑姣忎釜鍊煎嚭鐜扮殑棰戠巼 int max = A[0], min = A[0]; for (int i : A) { if (i > max) { max = i; } if (i < min) { min = i; }    } //浜岋細鏈変簡鏈€澶у€煎拰鏈€灏忓€艰兘澶熺‘瀹氫腑闂存暟缁勭殑闀垮害 //瀛樺偍5-0+1 = 6    int[] pxA = new int[max - min + 1]; //涓?寰幆閬嶅巻鏃ф暟缁勮鏁版帓搴? 灏辨槸缁熻鍘熷鏁扮粍鍊煎嚭鐜扮殑棰戠巼鍒颁腑闂存暟缁凚涓?/span> for (int i : A) { pxA[i - min] += 1;//鏁扮殑浣嶇疆 涓?1    } //鍥?閬嶅巻杈撳嚭 //鍒涘缓鏈€缁堟暟缁勶紝灏辨槸杩斿洖鐨勬暟缁勶紝鍜屽師濮嬫暟缁勯暱搴︾浉绛夛紝浣嗘槸鎺掑簭瀹屾垚鐨?/span> int[] result = new int[A.length]; int index = 0;//璁板綍鏈€缁堟暟缁勭殑涓嬫爣
 //鍏堝惊鐜瘡涓€涓厓绱?鍦ㄨ鏁版帓搴忓櫒鐨勪笅鏍囦腑 for (int i = 0; i < pxA.length; i++) { //寰幆鍑虹幇鐨勬鏁?/span> for (int j = 0; j < pxA[i]; j++) {//pxA[i]:杩欎釜鏁板嚭鐜扮殑棰戠巼 result[index++] = i + min;//浠ヤ负鍘熸潵鍑忓皯浜唌in鐜板湪鍔犱笂min锛屽€煎氨鍙樻垚浜嗗師鏉ョ殑鍊?/span> } } return result;}

澶嶆潅搴﹀垎鏋?/span>

• 鏃堕棿澶嶆潅搴︼細T(n) = O(n+k)銆傚綋缁欏畾n涓?~k涔嬮棿鐨勬暣鏁般€?/span>

• 绌洪棿澶嶆潅搴︼細T(n) = O(n+k)銆?/span>

• 骞冲潎鎯呭喌锛歍(n) = O(n+k)銆?/span>

馃拋棰濆璇存槑锛?br>

璁℃暟鎺掑簭鍙兘搴旂敤浜庤緭鍏ョ殑搴忓垪鏄湁纭畾鑼冨洿鐨勬暣鏁帮紝鑰屼笖濡傛灉杈撳叆鐨勫簭鍒楄法搴﹀緢澶э紝鏈€灏忓€煎緢灏忥紝鏈€澶у€煎緢澶э紝杩欏氨浣垮緱闇€瑕佺殑棰濆绌洪棿浼氬緢澶с€?/span>

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馃憠馃憖馃挰浠婃棩缁冧範锛堜簩锛?span class="mq-40">妗?/strong>鎺掑簭锛圔ucket Sort锛?/strong> 銆?/span>

馃檱鎬濊矾

妗舵帓搴?/span>绠楁槸璁℃暟鎺掑簭鐨勫崌绾х増锛屾墍浠ヨ繖鍎挎垜浠篃鏀惧湪涓€璧锋潵璇淬€?/span>

• 妗舵帓搴忔槸绋冲畾鐨勶紱 

• 妗舵帓搴忔槸甯歌鎺掑簭绠楁硶涓渶蹇殑涓€绉嶏紝澶у鏁版儏鍐典笅姣斿揩鎺掑拰褰掑苟鎺掑簭杩樿蹇€?/span>

• 妗舵帓搴忛潪甯稿揩浣嗘槸涔熼潪甯告秷鑰楃┖闂达紝鍏稿瀷鐨勪互绌洪棿鎹㈡椂闂达紝鍩烘湰涓婃槸鏈€鑰楀唴瀛樼殑涓€绉嶆帓搴忕畻娉曘€?/span>

妗舵帓搴忕殑鏍稿績鎬濇兂灏辨槸瀵瑰簭鍒椾腑鐨勬暟鍙栨ā鐒跺悗瀵瑰簲鍒版瘡涓《閲岋紝姣忎釜妗堕噷鍙斁澶氫釜鏁般€?/span>

浠ｇ爜锛?br>

 public double[] bucketSort(double[] arr){ //1.璁＄畻鍑烘渶澶у€煎拰鏈€灏忓€硷紝姹傚嚭涓よ€呯殑宸€?/span> double min = arr[0]; double max = arr[0]; for (int i = 1; i < arr.length; i++) { if (max < arr[i]){ max = arr[i]; } if (arr[i] < min){ min = arr[i]; } }    double d = max - min; //2.鍒濆鍖栨《 int bucketNum = arr.length; List<LinkedList<Double>> bucketList = new ArrayList<>(bucketNum); for (int i = 0; i < bucketNum; i++) { bucketList.add(new LinkedList<>());    } //3.閬嶅巻鏁扮粍涓殑鍏冪礌锛屾妸鎵€鏈夊厓绱犻兘鏀惧叆瀵瑰簲鐨勬《褰撲腑 for (int i = 0; i < arr.length; i++) { //璁＄畻褰撳墠鍏冪礌搴旇鏀惧湪鍝釜妗堕噷闈?/span> double t= (d / (bucketNum - 1)); double x = (arr[i] - min); int num = (int)( x/ t ); bucketList.get(num).add(arr[i]);    } //4.瀵规瘡涓《閲岄潰鐨勫厓绱犺繘琛屾帓搴?/span> for (int i = 0; i < bucketNum; i++) { Collections.sort(bucketList.get(i));    } //5.杈撳嚭鍏ㄩ儴鍏冪礌 int k = 0; for(LinkedList<Double> doubles : bucketList){ for (Double aDouble : doubles) { arr[k] = aDouble; k++; }    } return arr;}

澶嶆潅搴﹀垎鏋?/span>

• 鏃堕棿澶嶆潅搴︼細T(n) = O(n+k)銆傚綋缁欏畾n涓?~k涔嬮棿鐨勬暣鏁般€?/span>

• 绌洪棿澶嶆潅搴︼細T(n) = O(n+k)銆?/span>

• 骞冲潎鎯呭喌锛歍(n) = O(n+k)銆?/span>

涓嶇Н璺锛屾棤浠ヨ嚦鍗冮噷銆?/strong>

鏂囩珷鏈夊府鍔╃殑璇濓紝鐐逛釜杞彂銆佸湪鐪嬪憲銆?/strong>
璋㈣阿鏀寔鍝?(*^__^*)

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馃憞