鏁版嵁緇撴瀯絎簲绔犲簲鐢ㄩ鍙婄瓟妗圼10]_璺ㄨ€冪綉
聽聽聽聽聽 1. 璁捐緭鍏ヤ負鏁存暟鏁扮粍A[1..n]錛屽叾涓?/span>1<=A[i]<=k(1<=i<=n)錛涜緭鍑烘暟緇勪負b[1..n]錛?/span>c[1..k]鏄復鏃跺伐浣滅┖闂達紱闃呰涓嬭堪綆楁硶鍚庯紝鍥炵瓟涓嬪垪闂錛?/span>
銆€銆€PROC Demo(A,B,k){
銆€銆€(1)FOR i:=1 TO k DO C[i]:=0;
銆€銆€(2)FOR j:=1 TO n DO C[A[j]]:= C[A[j]]+1;
銆€銆€(3)FOR i:=2 TO k DO C[i]:= C[i]+ C[i-1]
銆€銆€(4)FOR j:=n DOWNTO 1 DO {
銆€銆€(5) B[C[A[j]]]:=A[j];
銆€銆€(6)C[A[j]]:=C[A[j]]-1 } }
銆€銆€(a).褰撴爣鍙鳳紙2錛夎鐨勫驚鐜墽琛屽畬鍚庯紝C[i](1<=i<=n)鐨勫€兼湁浣曟剰涔夛紵
銆€銆€(b).褰撴爣鍙鳳紙3錛夎鐨勫驚鐜墽琛屽畬鍚庯紝C[i](1<=i<=n)鐨勫€兼湁浣曟剰涔夛紵
銆€銆€(c).綆楁硶鎵ц鍚庯紝B鐨勫唴瀹規(guī)湁浣曠壒鐐癸紵
銆€銆€(d).褰?/span>k=O(n)鏃訛紝綆楁硶鐨勬椂闂村鏉傚害鏄灝戯紵 銆愪腑縐戦櫌杞歡鎵€ 1997 浜屻€?/span>2錛?/span>9鍒嗭級銆?/span>
銆€銆€銆愬弬鑰冪瓟妗堛€?/span>
銆€銆€榪欐槸璁℃暟鎺掑簭紼嬪簭銆?/span>
銆€銆€錛?/span>a錛?/span>c[i](1<=i<=n)涓瓨鏀?/span>A鏁扮粍涓€間負i鐨勫厓绱犱釜鏁般€?/span>
銆€銆€錛?/span>b錛?/span>c[i](1<=i<=n)涓瓨鏀?/span>A鏁扮粍涓皬浜庣瓑浜?/span>i鐨勪釜鏁般€?/span>
銆€銆€錛?/span>c錛?/span>B涓瓨鏀炬帓搴忕粨鏋滐紝B[1..n]宸茬粡鏈夊簭銆?/span>
銆€銆€錛?/span>d錛夌畻娉曚腑鏈?/span>4涓茍鍒?/span>for寰幆璇彞錛岀畻娉曠殑鏃墮棿澶嶆潅搴︿負O(n)銆?/span>
銆€銆€
銆€銆€2錛庝笂涓夎闃?/span>A錛?/span>N*N錛夋寜琛屼富搴忓帇緙╁瓨鏀懼湪鏁扮粍B涓紝鍏朵腑A[i,j]=B[k].鍐欏嚭鐢?/span>i錛?/span>j琛ㄧず鐨?/span>k銆傘€?a target="_blank">鍖椾含宸ヤ笟澶у 2001 浜屻€?/span>1 (5鍒?/span>)銆?/span>
銆€銆€銆愬弬鑰冪瓟妗堛€?/span>
銆€銆€涓婁笁瑙掔煩闃電涓€琛屾湁n涓厓绱狅紝絎?/span>i-1琛屾湁n-錛?/span>i-1錛?/span>+1涓厓绱狅紝絎竴琛屽埌絎?/span>i-1琛屾槸絳夎叞姊艦錛岃€岀i琛屼笂絎?/span>j涓厓绱狅紙鍗?/span>aij錛夋槸絎?/span>i琛屼笂絎?/span>j-i+1涓厓绱狅紝鏁呭厓绱?/span>Aij鍦ㄤ竴緇存暟緇勪腑鐨勫瓨鍌ㄤ綅緗紙涓嬫爣k錛変負錛?/span>
銆€銆€k=(n+(n-(i-1)+1))(i-1)/2+(j-i+1)=(2n-i+2)(i-1)/2+j-i+1
銆€銆€2022鑰冪爺鍒濆璇曞凡緇忔帴榪戝熬澹幫紝鑰冪爺瀛﹀瓙鍏ㄩ潰榪涘叆2023灞婂鑰?/b>錛岃法鑰冧負23鑰冪爺鐨勮€冪敓鍑嗗浜?0澶ц鍖呭叏紼嬪噯澶囥€佸叏騫村涔犲鑰冭鍒掋€佺洰鏍囬櫌鏍′笓涓氳緟瀵箋€佸叏鐪熷璇曟ā鎷熺粌涔犲拰鍏ㄧ▼閽堝鎬ф寚瀵鹼紱2023鑰冪爺鐨勫皬浼欎即閽堜篃宸茬粡寮€濮嬫嫨鏍″拰澶嶄範浜嗭紝璺ㄨ€冭€冪爺鐣呭5.0鐗堟湰鍏ㄦ柊鍗囩駭錛屾棤璁轟綘鍦ㄦ牎鍦ㄥ閮藉彲浠ユ洿鑷鐨勫畬鎴愪綘鐨勮€冪爺澶嶄範錛?/a>鏆戝亣闆嗚钀?/span>甯︽潵浜嗛櫌鏍′笓涓氬垵姝ラ€夋嫨錛屾槑紜柟鍚戯紱鑰冪爺澶囪€冨叏騫磋鍒掞紝鏍稿績鐭ヨ瘑鐐瑰叆闂紱涓€у寲鍒跺畾澶囪€冩柟妗堬紝鍔╀綘璧㈠湪璧瘋窇綰匡紝鏃╁嚭鍙戜竴鐐圭鎴愬姛灝辨洿榪戜竴鐐癸紒
鐐瑰嚮鍙充晶鍜ㄨ鎴?/strong>鐩存帴鍓嶅線浜嗚В鏇村
鑰冪爺闄㈡牎涓撲笟閫夋嫨鍜岃€冪爺澶嶄範璁″垝 | |||
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2022鑰冪爺澶嶈瘯鏈€鍏ㄤ俊鎭暣鐞?/a> | 鍏ㄥ浗鍚勬嫑鐢熼櫌鏍¤€冪爺澶嶈瘯鍒嗘暟綰挎眹鎬?/a> | ||
2023鍏ㄦ棩鍒跺皝闂緇?/span> | 鍏ㄥ浗鍚勬嫑鐢熼櫌鏍¤€冪爺璋冨墏淇℃伅姹囨€?/a> | ||
2023鑰冪爺鍏堢煡 | 鑰冪爺鑰冭瘯縐戠洰鏈夊摢浜涳紵 | 濡備綍姝g‘鐪嬪緟鑰冪爺鍒嗘暟綰匡紵 | |
涓嶅悓闄㈡牎鐩稿悓涓撲笟濡備綍閫夋嫨鏇撮€傚悎鑷繁鐨?/a> | 浠庡氨涓氳鑰冪爺濡備綍鎷╀笓涓氾紵 | ||
鎵嬫妸鎵嬫暀浣犲浣曢€変笓涓氾紵 | 楂樻牎鐮旂┒鐢熸暀鑲插悇瀛︾闂ㄧ被鎺掕姒?/a> |
鐩稿叧鎺ㄨ崘
璺ㄨ€冭€冪爺璇劇▼
鐝瀷 | 瀹氬悜鐝瀷 | 寮€鐝椂闂?/td> | 楂樺畾鐝?/td> | 鏍囧噯鐝?/td> | 璇劇▼浠嬬粛 | 鍜ㄨ |
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2023闆嗚鐣呭 | 闈炲畾鍚戯紙鏀胯嫳鐝?鏁版斂鑻辯彮錛?/td> | 姣忔湀20鏃?/td> | 22800璧?鍗忚鐝? | 13800璧?/td> | 鍏堣闃跺湪綰胯紼?鍩虹闃跺湪綰胯紼?寮哄寲闃跺湪綰胯紼?鐪熼闃跺湪綰胯紼?鍐插埡闃跺湪綰胯紼?涓撲笟璇鵑拡瀵規(guī)€т竴瀵逛竴璇劇▼+鐝富浠誨叏紼嬬潱瀛︽湇鍔?鍏ㄧ▼瑙勫垝浣撶郴+鍏ㄧ▼嫻嬭瘯浣撶郴+鍏ㄧ▼綺劇粏鍖栫瓟鐤?鎷╂牎鎷╀笓涓氳兘鍔涘畾浣嶄綋緋?鍏ㄥ勾鍏抽敭鐜妭鎸囧浣撶郴+鍒濊瘯鍔犲己璇?鍒濊瘯涓撳睘鏈嶅姟+澶嶈瘯鍏ㄧ鏍囧噯鐝湇鍔?/td> |