鏁版嵁緇撴瀯絎簲绔犵畻娉曡璁￠[9]_璺ㄨ€冪綉

1錛庤浠繪剰n涓暣鏁板瓨鏀句簬鏁扮粍A(1:n)涓紝璇曠紪鍐欑▼搴忥紝灝嗘墍鏈夋鏁版帓鍦ㄦ墍鏈夎礋鏁板墠闈紙瑕佹眰綆楁硶澶嶆潅鎬т負(fù)0( n)錛夈€?/span> 銆?a target="_blank">灞變笢澶у 1993 涓?/span> (12鍒?/span>)銆?/span>.

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銆€銆€錛?/span>1錛夊凡鐭ユ暟緇?/span>A[1..n]鐨勫厓绱犵被鍨嬩負(fù)鏁村瀷錛岃璁＄畻娉曡皟鏁?/span>A錛屼嬌鍏跺乏杈圭殑鎵€鏈夊厓绱犲皬浜庨浂錛屽彸杈圭殑鎵€鏈夊厓绱犲ぇ浜庣瓑浜庨浂銆傦紙瑕佹眰綆楁硶鐨勬椂闂村鏉傚害鍜岀┖闂村鏉傚害鍧囦負(fù)0錛?/span>n錛夛級銆?a target="_blank">鍖椾含鐞嗗伐澶у 2000 鍥涖€?/span>1 錛?/span>4鍒嗭級銆?/span>

銆€銆€錛?/span>2錛夎璁′竴涓畻娉曪紝鎶婃暣鏁版暟緇勪腑鎵€鏈夌殑鍋舵暟鏀懼埌鎵€鏈夌殑濂囨暟涔嬪墠銆傝姹傛椂闂淬€佺┖闂存晥鐜囧敖鍙兘楂樸€傘€?a target="_blank">鍗庡崡甯堣寖澶у 1999 鍏€?/span>1 (10鍒?/span>)銆?/span>

銆€銆€錛?/span>3錛夎涓€緋誨垪姝ｆ暣鏁板瓨鏀懼湪涓€涓暟緇勪腑錛岃瘯璁捐綆楁硶錛屽皢鎵€鏈夊鏁板瓨鏀懼湪鏁扮粍鐨勫墠鍗婇儴鍒嗭紝灝嗘墍鏈夌殑鍋舵暟瀛樻斁鍦ㄦ暟緇勭殑鍚庡崐閮ㄥ垎銆傝姹傚敖鍙兘灝戠敤涓存椂瀛樺偍鍗曞厓騫朵嬌鏃墮棿鏈€灝戙€傝璇曠潃鍒嗘瀽浣犲疄鐜扮殑綆楁硶鐨勬椂闂村鏉傚害鍜岀┖闂村鏉傚害銆傘€?a target="_blank">鍗楀紑澶у 2000 涓夈€?/span>2銆?/span>

銆€銆€錛?/span>4錛夎璁＄畻娉曞皢鏁扮粍A[1..n]璋冩暣涓哄乏鍙充袱閮ㄥ垎錛屼嬌鐨勫乏杈規(guī)墍鏈夌殑鍏冪礌灝忎簬鍙寵竟鐨勬墍鏈夊厓绱狅紝騫剁粰鍑鴻繖涓€鍒掑垎鐨勫垎鐣屼綅緗€傝姹傜畻娉曠殑鏃墮棿澶嶅害涓?/span>O(n)銆?/span> 銆?a target="_blank">鍚堣偉宸ヤ笟澶у 2001 浜斻€?/span>3 錛?/span>8鍒嗭級銆?/span>

銆€銆€銆愬弬鑰冪瓟妗堛€?/span>

銆€銆€[棰樼洰鍒嗘瀽]鏈灞炰簬鎺掑簭闂錛屽彧鏄帓鍑烘璐燂紝涓嶆帓鍑哄ぇ灝忋€傚彲鍦ㄦ暟緇勯灝捐涓や釜鎸囬拡i鍜?/span>j錛?/span>i鑷皬鑷沖ぇ鎼滅儲鍒拌礋鏁板仠姝紝j鑷ぇ鑷沖皬鎼滅儲鍒版鏁板仠姝€傜劧鍚?/span>i鍜?/span>j鎵€鎸囨暟鎹氦鎹紝緇х畫浠ヤ笂榪囩▼錛岀洿鍒?/span> i=j涓烘銆?/span>

銆€銆€void Arrange(int A[],int n)

銆€銆€//n涓暣鏁板瓨浜庢暟緇?/span>A涓紝鏈畻娉曞皢鏁扮粍涓墍鏈夋鏁版帓鍦ㄦ墍鏈夎礋鏁扮殑鍓嶉潰

銆€銆€{int i=0,j=n-1,x; //鐢ㄧ被C緙栧啓錛屾暟緇勪笅鏍囦粠0寮€濮?/span>

銆€銆€while(i<j)

銆€銆€{while(i<j && A[i]>0) i++;

銆€銆€while(i<j && A[j]<0) j--;

銆€銆€if(i<j) {x=A[i]; A[i++]=A[j]; A[j--]=x; }//浜ゆ崲A[i] 涓?/span>A[j]

銆€銆€}

}//綆楁硶Arrange緇撴潫.

[綆楁硶璁ㄨ]瀵規(guī)暟緇勪腑鍏冪礌鍚勬瘮杈冧竴嬈★紝姣旇緝嬈℃暟涓?/span>n銆傛渶浣蟲儏鍐?/span>(宸叉帓濂?/span>,姝ｆ暟鍦ㄥ墠,璐熸暟鍦ㄥ悗)涓嶅彂鐢熶氦鎹紝鏈€宸儏鍐?/span>(璐熸暟鍧囧湪姝ｆ暟鍓嶉潰)鍙戠敓n/2嬈′氦鎹€傜敤綾?/span>c緙栧啓錛屾暟緇勭晫鍋舵槸0..n-1銆傜┖闂村鏉傚害涓?/span>O(1).

銆€銆€綾諱技鏈鐨勫叾瀹冮鐨勮В絳?/span>:錛?/span>

銆€銆€錛?/span>1錛変笌涓婇潰12棰樺悓錛屽洜瑕佹眰絀洪棿澶嶆潅搴︿篃鏄?/span>O(n)錛屽彲鍙﹁涓€鏁扮粍C錛屽A鏁扮粍浠庡乏鍒板彸鎵弿錛屽皬浜庨浂鐨勬暟鍦?/span>C涓粠宸︼紙浣庝笅鏍囷級鍒板彸錛堥珮涓嬫爣錛夊瓨錛屽ぇ浜庣瓑浜庨浂鐨勬暟鍦?/span>C涓粠鍙沖埌宸﹀瓨銆?/span>

銆€銆€錛?/span>2錛夊皢12棰樹腑鍒ゅ畾姝ｆ暟(A[i]>0)鏀逛負(fù)鍒ゅ伓鏁?/span>(A[i]%2==0)錛屽皢鍒よ礋鏁?/span>(A[j]<0)鏀逛負(fù)(A[j]%2!=0)銆?/span>

銆€銆€錛?/span>3錛夊悓錛?/span>2錛夛紝鍙槸瑕佹眰濂囨暟鎺掑湪鍋舵暟涔嬪墠銆?/span>

銆€銆€錛?/span>4錛夊埄鐢ㄥ揩閫熸帓搴忔€濇兂錛岃繘琛屼竴瓚熷垝鍒嗐€?/span>

銆€銆€int Partition(int A[],int n)

銆€銆€//灝?/span>n涓厓绱犵殑鏁扮粍A璋冩暣涓哄乏鍙充袱閮ㄥ垎錛屼笖宸﹁竟鎵€鏈夊厓绱犲皬浜庡彸杈規(guī)墍鏈夊厓绱狅紝榪斿洖鍒嗙晫浣嶇疆銆?/span>

銆€銆€{int i=0,j=n-1,rp=A[0]; //璁炬暟緇勫厓绱犱負(fù)鏁村瀷

銆€銆€while(i<j)

銆€銆€{while(i<j &&A[j]>=rp) j--;

銆€銆€while(i<j &&A[i]<=rp) i++;

銆€銆€if(i<j) { x=A[i];A[i]=A[j]; A[j]=x; }

銆€銆€}

銆€銆€A[i]=rp; return(i); //鍒嗙晫鍏冪礌

銆€銆€}// Partition