鎺掑簭绠楁硶绯诲垪3-鎻掑叆鎺掑簭

Posted 2021-04-25 MissKein

• 灞炰簬 姣旇緝绠楁硶 ^[1]
• 鑻辨枃绠€鍐欙細INS 锛坕nstagram鐨勭畝鍐欎篃鏄痠ns锛岃繖寰堟湁瓒ｏ級

鎻掑叆鎺掑簭鏈夌偣绫讳技浜庢暣鐞嗘墤鍏嬬墝锛屾寜鐓ч『搴忔彃鍏ユ墤鍏嬬墝銆?/p>

鍏虫敞銆佽瘎璁恒€佽浆鍙?/span>

瀹氫箟

1. 浠庝綘鎵嬩腑鐨勪竴寮犵墝寮€濮嬶紝
2. 閫夋嫨涓嬩竴寮犲崱骞跺皢鍏舵彃鍏ュ埌姝ｇ‘鐨勬帓搴忛『搴忎腑锛?
3. 瀵规墍鏈夌殑鍗￠噸澶嶄笂涓€姝ャ€?

涓句釜渚嬪瓙馃尠锛氬亣璁句綘鎷垮埌4寮犵墝[40,13,20,8]锛堝亣璁剧墝鏁板ぇ灏忎笉鍙楅檺锛?br>绗竴娆℃彃鍏ワ細[13,40,20,8]锛?13<40锛屼氦鎹綅缃?br>绗簩娆℃彃鍏ワ細[13,20,40,8]锛?13<20<40锛?0鍜?0浜ゆ崲浣嶇疆
绗笁娆℃彃鍏ワ細[8,13,20,40]锛?8姣斿墠闈㈢殑鏁伴兘灏忥紝8鎻掑叆鍒伴浣?br>

// C++
void insertionSort(int a[], int N) {
  for (int i = 1; i < N; ++i) { // O(N)
    int X = a[i]; // X 鏄皢瑕佹彃鍏ョ殑
    int j = i-1;
    for (; j >= 0 && a[j] > X; --j) // 鍙兘蹇垨鎱?/span>
      a[j+1] = a[j]; // 缁橷鏍囪浣嶇疆
    a[j+1] = X; // j+1鏄彃鍏ョ偣浣嶇疆
  }
}

鏃堕棿澶嶆潅搴?/span>

寰堟槑鏄撅紝澶栧惊鐜墽琛孨-1娆°€備絾鍐呭惊鐜墽琛岀殑娆℃暟鍙栧喅浜庤緭鍏ワ細

1. 鍦ㄦ渶濂界殑鎯呭喌涓嬶紝鏁扮粍宸茬粡鎺掑簭骞朵笖锛坅 [j]> X锛夋€绘槸涓哄亣鎵€浠ヤ笉闇€瑕佺Щ浣嶆暟鎹紝骞朵笖鍐呴儴寰幆杩愯鍦∣锛?锛夛紝
2. 鍦ㄦ渶鍧忕殑鎯呭喌涓嬶紝鏁扮粍琚弽鍚戞帓搴忓苟涓旓紙a [j]> X锛夊缁堜负鐪熸彃鍏ュ缁堝彂鐢熷湪鏁扮粍鐨勫墠绔紝骞朵笖鍐呴儴寰幆浠锛圢锛夎繍琛屻€傚洜姝わ紝鏈€浣虫儏鍐垫椂闂存槸O(N 脳 1) = O(N) 锛屾渶鍧忔儏鍐垫椂闂存槸O(N 脳 N) = O(N^2).

缁间笂锛屾彃鍏ユ帓搴忕殑鏃堕棿澶嶆潅搴︿粙浜嶰(N)锝濷(N^2)涔嬮棿銆?/p>

鍒嗘瀽

鎻掑叆鎺掑簭涓嶉渶瑕侀澶栫┖闂达紝鏄湰鍦版帓搴忥紝鐩哥瓑鍏冪礌涓嶄細浜ゆ崲鍓嶅悗椤哄簭锛屾墍浠ユ槸绋冲畾鎺掑簭^[2]锛屾椂闂村鏉傚害涓篛(n^2)锛岄€傜敤浜庡皯閲忔暟鎹帓搴忋€?/p>

闂

鍓嶇瘒浠嬬粛鐨?code class="mq-62">鍐掓场鎺掑簭鍜?code class="mq-63">閫夋嫨鎺掑簭鏄ǔ瀹氱畻娉曞悧锛熸杩庡湪璇勮鍖虹暀瑷€璁ㄨ銆?/p>

鍙傝€冭祫鏂?/span>

[1]

浠€涔堟槸姣旇緝绠楁硶: 鏄寚鍩轰簬姣旇緝鑰屾瘮杈冿紝鍥犱负瀹冧滑姣旇緝鏁扮粍鐨勫厓绱犲苟鍐冲畾鏄惁浜ゆ崲瀹冧滑銆?/span>

[2]

绋冲畾鎺掑簭: 绠€鍗曟潵璇达紝灏辨槸鏍规嵁鎺掑簭瑙勫垯锛屽師鏁扮粍鍏冪礌鐨勭浉瀵逛綅缃笉浼氭敼鍙樸€傛瘮濡俒5,5,5,5]锛屾牴鎹彃鍏ョ畻娉曚笉闇€瑕佷氦鎹綅缃紝鎵€浠ユ彃鍏ョ畻娉曟槸绋冲畾鐨勩€?/span>