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鍙嬫儏鎻愮ず锛氭湰绔欐彁渚涘叏鍦�400澶氭墍楂樼瓑闄㈡牎鎷涙敹纰╁＋銆佸崥澹爺绌剁敓鍏ュ(xu茅)鑰冭│姝峰勾鑰冪爺鐪熼銆佽€冨崥鐪熼銆佺瓟妗�锛岄儴鍒嗗(xu茅)鏍℃洿鏂拌嚦2012骞�锛�2013骞达紱鍧囨彁渚涙敹璨�(f猫i)涓嬭級銆� 涓嬭級娴佺▼锛� 鑰冪爺鐪熼 榛�(di菐n)鎿娾€�鑰冪爺瑭﹀嵎鈥濃€濅笅杓�; 鑰冨崥鐪熼 榛�(di菐n)鎿娾€�鑰冨崥瑭﹀嵎搴�鈥� 涓嬭級
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鐩寗
I 鑰冩煡鐩(bi膩o)........................................................................................ 2
II 鑰冭│褰㈠紡鍜岃│鍗风祼(ji茅)妲�(g貌u) ..................................................................2
III 鑰冩煡鍏�(n猫i)瀹�..................................................................................... 2
IV. 椤屽瀷绀轰緥鍙婂弮鑰冪瓟妗�.................................................................3
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鍏ㄥ湅纰╁＋鐮旂┒鐢熷叆瀛�(xu茅)绲�(t菕ng)涓€鑰冭│
鏁�(sh霉)鎿�(j霉)绲�(ji茅)妲�(g貌u)鑰冭│澶х侗
I 鑰冩煡鐩(bi膩o)
鍏ㄥ湅纰╁＋鐮旂┒鐢熷叆瀛�(xu茅)绲�(t菕ng)涓€鑰冭│妯″紡璀樺垾鑸囨櫤鑳界郴绲�(t菕ng)銆佽▓绠楁(j墨)鎶€琛�(sh霉)銆佽粺浠跺伐绋�銆佽静(n贸ng)妤�(y猫)淇℃伅
鍖栫ⅸ澹皥妤�(y猫)瀛�(xu茅)浣嶃€婃暩(sh霉)鎿�(j霉)绲�(ji茅)妲�(g貌u)銆嬭€冭│鏄偤姹熻槆澶у(xu茅)鎷涙敹浠ヤ笂纰╁＋鐢熻ō(sh猫)缃殑鍏锋湁閬告嫈鎬ц唱(zh矛)鐨勮€冭│
绉戠洰銆傚叾鐩殑鏄瀛�(xu茅)銆佸叕骞�銆佹湁鏁堝湴娓│鑰冪敓鏄惁鍏峰倷鏀昏畝妯″紡璀樺垾鑸囨櫤鑳界郴绲�(t菕ng)銆佽▓绠楁(j墨)鎶€
琛�(sh霉)銆佽粺浠跺伐绋嬨€佽静(n贸ng)妤�(y猫)淇℃伅鍖栧皥妤�(y猫)纰╁＋鎵€蹇呴爤鐨勫熀鏈礌璩�(zh矛)銆佷竴鑸兘鍔涘拰鍩归(y菐ng)娼涜兘,浠ュ埄鐢ㄩ伕鎷�
鍏锋湁鐧�(f膩)灞�?ji茅)鎽课﹁啲?y艒u)绉€浜烘墠鍏ュ(xu茅),鐐哄湅瀹剁殑缍�(j墨ng)婵�(j矛)寤鸿ō(sh猫)鍩归(y菐ng)鍏锋湁鑹ソ鑱锋キ(y猫)閬撳痉銆佹硶鍒惰蹇靛拰鍦嬮殯
瑕栭噹銆佸叿鏈夎純寮�(qi谩ng)鍒嗘瀽鑸囪В姹哄(sh铆)闅涘晱椤岃兘鍔涚殑灏堟キ(y猫)浜烘墠?锛熻崥鍥堫€︾絺蹇岊寑瀹筤绯荤当(t菕ng)鍦版帉鎻℃暩(sh霉)鎿�(j霉)绲�(ji茅)
妲�(g貌u)瑾茬▼鐨勬蹇�銆佸熀鏈師鐞嗗拰鏂规硶,鑳藉閬�(y霉n)鐢ㄦ墍瀛�(xu茅)鐨勫熀鏈師鐞嗗拰鍩烘湰鏂规硶鍒嗘瀽銆佸垽鏂峰拰瑙ｆ焙鏈�
闂�(gu膩n)鐞嗚珫鍟忛鍜屽(sh铆)闅涘晱椤�銆�
鍏烽珨渚嗚,瑕佹眰鑰冪敓锛�
1. 鐞嗚В鏁�(sh霉)鎿�(j霉)绲�(ji茅)妲�(g貌u)鐨勫熀鏈蹇碉紱鎺屾彙鏁�(sh霉)鎿�(j霉)鐨勯倧杓祼(ji茅)妲�(g貌u)銆佸瓨鍎茬祼(ji茅)妲�(g貌u)鍙婂叾宸暟,浠ュ強鍚勭ó鍩�
鏈搷浣滅殑瀵�(sh铆)鐝�(xi脿n)銆�
2. 鎺屾彙鍩烘湰鐨勬暩(sh霉)鎿�(j霉)铏曠悊鍘熺悊鍜屾柟娉曠殑鍩虹(ch菙)涓�,鑳藉?q奴)位鎯淬劅M(j矛n)琛岃ō(sh猫)瑷堣垏鍒嗘瀽銆�
3. 鑳藉閬告搰鍚堥仼鐨勬暩(sh霉)鎿�(j霉)绲�(ji茅)妲�(g貌u)鍜屾柟娉曢€�(j矛n)琛屽晱椤屾眰瑙ｃ€�
II 鑰冭│褰㈠紡鍜岃│鍗风祼(ji茅)妲�(g貌u)
涓€銆佽│鍗锋豢鍒嗗強鑰冭│鏅傞枔
瑭﹀嵎婊垮垎鐐� 150 鍒�,鑰冭│鏅傞枔 180 鍒嗛悩銆�
浜�銆佺瓟椤屾柟寮�
绛旈鏂瑰紡鐐洪枆鍗�銆佺瓎瑭�銆�
涓夈€佽│鍗峰収(n猫i)瀹硅垏椤屽瀷绲�(ji茅)妲�(g貌u)
鍠爡(xi脿ng)閬告搰椤� 10 椤�,姣忓皬椤� 1 鍒�, 鍏� 10 鍒�
濉┖椤� 椤屾暩(sh霉)涓嶅畾,姣忕┖ 1 鍒�, 鍏� 10 鍒�
鎳�(y墨ng)鐢ㄩ 椤屾暩(sh霉)涓嶅畾, 鍏� 80 鍒�
绨＄瓟椤� 椤屾暩(sh霉)涓嶅畾, 鍏� 30 鍒�
绠楁硶瑷�(sh猫)瑷堥 椤屾暩(sh霉)涓嶅畾, 鍏� 20 鍒�
III 鑰冩煡鍏�(n猫i)瀹�
1 绶掕珫
1.1 鏁�(sh霉)鎿�(j霉)绲�(ji茅)妲�(g貌u)鐨勫熀鏈蹇靛拰琛�(sh霉)瑾�
1.2 绠楁硶鐨勫畾缇�銆佹€ц兘妯�(bi膩o)婧�(zh菙n)鍜屽京(f霉)闆滃害
2 绶氭€ц〃
2.1 绶氭€ц〃鐨勫畾缇�
2.2 绶氭€ц〃鐨勯爢搴忚〃绀哄拰瀵�(sh铆)鐝�(xi脿n)
2.3 绶氭€ц〃鐨勯張琛ㄨ〃绀哄拰瀵�(sh铆)鐝�(xi脿n)
2.4 绶氭€ц〃鐨勬噳(y墨ng)鐢�
3 妫у拰闅�(du矛)鍒�
3.1 妫у拰闅�(du矛)鍒楃殑鍩烘湰姒傚康
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3.2 妫у拰闅�(du矛)鍒楃殑闋嗗簭瀛樺劜绲�(ji茅)妲�(g貌u)
3.3 妫у拰闅�(du矛)鍒楃殑閺�?zh菙n)閰遍幆顬塝(ji茅)妲�(g貌u)
3.4 妫у拰闅�(du矛)鍒楃殑鎳�(y墨ng)鐢�
4 涓层€佹暩(sh霉)绲勫拰寤ｇ京琛�
4.1 瀛楃涓茬殑瀹氱京銆佸瓨鍎茬祼(ji茅)妲�(g貌u)鍜屾搷浣�,妯″紡鍖归厤绠楁硶
4.2 鏁�(sh霉)绲勭殑瀹氱京鍜岄爢搴忓瓨鍎茬祼(ji茅)妲�(g貌u),鐗规畩鐭╅櫍鍜岀█鐤忕煩闄ｇ殑澹撶府瀛樺劜
4.3 寤ｇ京琛ㄧ殑瀹氱京鍜屽瓨鍎茬祼(ji茅)妲�(g貌u)
5. 妯瑰拰妫灄
5. 1 妯圭殑瀹氱京鍜岃(sh霉)瑾�,妯圭殑琛ㄧず褰㈠紡鍜屽熀鏈搷浣�
5. 2 浜屽弶妯圭殑瀹氱京銆佹€ц唱(zh矛)鍜屽熀鏈搷浣�
5. 3 浜屽弶妯圭殑闋嗗簭瀛樺劜绲�(ji茅)妲�(g貌u)鍜岄張?zh菙n)閰遍幆顬塝(ji茅)妲�(g貌u)
5. 4 浜屽弶妯圭殑閬嶆
5. 5 绶氱储浜屽弶妯�
5. 6 鍝堝か鏇兼ü鍜屽搱澶浖绶ㄧ⒓
5. 7 妯圭殑瀛樺劜绲�(ji茅)妲�(g貌u),妯�銆佹．鏋楀拰浜屽弶妯圭殑杞�(zhu菐n)鎻�,妯瑰拰妫灄鐨勯亶姝�
5. 8 绛夊児椤炲強鍏惰〃绀�
6 鍦�
6. 1 鍦栫殑瀹氱京銆佽(sh霉)瑾炲拰鍩烘湰鎿嶄綔
6. 2 鍦栫殑瀛樺劜绲�(ji茅)妲�(g貌u)(閯版帴鐭╅櫍銆侀劙鎺ヨ〃)
6. 3 鍦栫殑娣卞害鍎�(y艒u)鍏堥亶姝�銆佸唬搴﹀劒(y艒u)鍏堥亶姝峰拰閫ｉ€氬垎閲�
6. 4 鏈€灏忕敓鎴愭ü銆佹渶鐭矾寰�銆佹嫇?f霉)娓戝垽铓濆畬P(gu膩n)閸佃矾寰�
7 鏌ユ壘
7. 1 鏌ユ壘鐨勫熀鏈蹇�
7. 2 闋嗗簭鏌ユ壘娉�銆佹姌鍗婃煡鎵炬硶鍜岀储寮曢爢搴忚〃涓婄殑鏌ユ壘
7. 3 浜屽弶鎺掑簭妯圭殑瀹氱京,浜屽弶鎺掑簭妯逛笂鐨勬煡鎵俱€佹彃鍏ュ拰鍒櫎,浜屽弶鎺掑簭妯规煡鎵剧殑鎬ц兘鍒嗘瀽
7. 4 骞宠 浜屽弶妯圭殑瀹氱京,骞宠 鏃嬭綁(zhu菐n),骞宠 浜屽弶妯圭殑鎻掑叆鍜屽埅闄�
7. 5 鏁ｅ垪琛ㄧ殑鍩烘湰姒傚康銆佹(g貌u)閫犲拰鍒嗘瀽
8 鍏�(n猫i)閮ㄦ帓搴�
8. 1 鎺掑簭鐨勫熀鏈蹇�
8. 2 浜ゆ彌鎺掑簭(鍐掓场鎺掑簭,蹇€熸帓搴�)
8. 3 鎻掑叆鎺掑簭(鐩存帴鎻掑叆鎺掑簭,鎶樺崐鎻掑叆鎺掑簭,甯岀埦鎺掑簭)
8. 4 閬告搰鎺掑簭(鐩存帴閬告搰鎺掑簭,閷︽(bi膩o)璩芥帓搴�,鍫嗘帓搴�)
8. 5 鍏╄矾姝稿苟鎺掑簭
8. 6 鍩烘暩(sh霉)鎺掑簭
8. 7 鍚勭ó鍏�(n猫i)閮ㄦ帓搴忕畻娉曠殑姣旇純鍜屾噳(y墨ng)鐢�
IV. 椤屽瀷绀轰緥鍙婂弮鑰冪瓟妗�
4
涓€銆佸柈闋�(xi脿ng)閬告搰椤�(姣忓皬椤� 1 鍒�,鍏� 10 鍒�)
1. 瑷�(sh猫)鏈夋暩(sh霉)绲� A[i,j],鏁�(sh霉)绲勭殑姣忓€嬪厓绱犻暦搴︾偤 3 瀛楃瘈(ji茅),i 鐨勫€肩偤 1 鍒� 8,j 鐨勫€肩偤 1 鍒� 10,鏁�(sh霉)绲勫緸鍏�(n猫i)
瀛橀鍦板潃 SA 闁嬪闋嗗簭瀛樻斁,鐣�(d膩ng)浠ュ垪鐐轰富瀛樻斁鏅�,鍏冪礌 A[5,8]鐨勫瓨鍎查鍦板潃鐐�( )銆�
(A) SA+180 (B) SA+141 (C) SA+222 (D) SA+225
2. 鍦ㄩ洐鍚戦張琛ㄦ寚閲� p 鐨勭祼(ji茅)榛�(di菐n)鍓嶆彃鍏ヤ竴鍊嬫寚閲� q 鐨勭祼(ji茅)榛�(di菐n)鎿嶄綔鏄�( )銆�
(A) p->Llink=q;q->Rlink=p;p->Llink->Rlink=q;q->Llink=q锛�
(B) q->Rlink=p;q->Llink=p->Llink;p->Llink->Rlink=q;p->Llink=q;
(C) p->Llink=q;p->Llink->Rlink=q;q->Rlink=p;q->Llink=p->Llink;
(D) q->Llink=p->Llink;q->Rlink=q;p->Llink=q;p->Llink=q;
3. 涓€妫典簩鍙夋ü楂樺害鐐� h,鎵€鏈夌祼(ji茅)榛�(di菐n)鐨勫害鎴�?y脿n)?0,鎴�?y脿n)?2,鍓囬€欐５浜屽弶妯规渶灏戞湁( )绲�(ji茅)榛�(di菐n)銆�
(A) 2h (B) 2h+1 (C) 2h-1 (D) h+1
4. 鐣�(d膩ng)鍦ㄤ竴鍊嬫湁搴忕殑闋嗗簭瀛樺劜琛ㄤ笂鏌ユ壘涓€鍊嬫暩(sh霉)鎿�(j霉)鏅�,鏃㈠彲鐢ㄦ姌鍗婃煡鎵�,涔熷彲鐢ㄩ爢搴忔煡鎵�,浣嗗墠
鑰呮瘮鍚庤€呯殑鏌ユ壘閫熷害( )銆�
(A) 鍙栨焙浜庤〃閬炲閭勬槸閬炴笡 (B) 蹇呭畾蹇� (C) 涓嶄竴瀹� (D) 鍦ㄥぇ閮ㄥ垎鎯呮硜涓嬭蹇�
5. 涓茬殑闀峰害鏄寚( )銆�
(A)涓蹭腑鎵€鍚笉鍚屽瓧姣嶇殑鍊嬫暩(sh霉) (B)涓蹭腑鎵€鍚潪绌烘牸瀛楃鐨勫€嬫暩(sh霉)
(C)涓蹭腑鎵€鍚笉鍚屽瓧绗︾殑鍊嬫暩(sh霉) (D)涓蹭腑鎵€鍚瓧绗︾殑鍊嬫暩(sh霉)
6. 涓嬮潰瑾硶閷鐨勬槸( )銆�
(A) 绠楁硶鍘熷湴宸ヤ綔鐨勫惈缇╂槸鎸囦笉闇€瑕佷换浣曢澶栫殑杓斿姪绌洪枔
(B) 鍦ㄧ浉鍚岀殑瑕�(gu墨)妯� n 涓�,寰�(f霉)闆滃害 O(n)鐨勭畻娉曞湪鏅傞枔涓婄附鏄劒(y艒u)浜庡京(f霉)闆滃害 O(2
n
)鐨勭畻娉�
(C) 鎵€璎傛檪闁撳京(f霉)闆滃害鏄寚鏈€澹炴儏娉佷笅,浼扮畻绠楁硶鍩�(zh铆)琛屾檪闁撶殑涓€鍊嬩笂鐣�
(D) 鍚屼竴鍊嬬畻娉�,瀵�(sh铆)鐝�(xi脿n)瑾炶█鐨勭礆鍒ヨ秺楂�,鍩�(zh铆)琛屾晥鐜囧氨瓒婁綆
7. 浠ヤ笅閷鐨勬槸 ( )
(i) 闈滄厠(t脿i)閺堣〃鏃㈡湁闋嗗簭瀛樺劜鐨勫劒(y艒u)榛�(di菐n),鍙堟湁鍕曟厠(t脿i)閺堣〃鐨勫劒(y艒u)榛�(di菐n)銆傛墍浠�,瀹冨瓨鍙栬〃涓 i 鍊嬪厓绱�
鐨勬檪闁撹垏 i 鐒￠棞(gu膩n)銆�
(ii) 闈滄厠(t脿i)閺堣〃涓兘瀹圭磵鐨勫厓绱犲€嬫暩(sh霉)鐨勬渶澶ф暩(sh霉)鍦ㄨ〃瀹氱京鏅傚氨纰哄畾浜�,浠ュ悗涓嶈兘澧炲姞銆�
(iii) 闈滄厠(t脿i)閺堣〃鑸囧嫊鎱�(t脿i)閺堣〃鍦ㄥ厓绱犵殑鎻掑叆銆佸埅闄や笂椤炰技,涓嶉渶鍋氬厓绱犵殑绉诲嫊銆�
(A) (i),(ii) (B) (i) (C) (i),(ii),(iii) (D) (ii)
8. 宸茬煡寤ｇ京琛� LS锛�((a,b,c),(d,e,f)),閬�(y霉n)鐢� head 鍜� tail 鍑芥暩(sh霉)鍙栧嚭 LS 涓師瀛� e 鐨勯亱(y霉n)绠楁槸
( )銆�
(A) head(tail(head(tail(LS))) (B) tail(head(LS))
(C) head(tail(LS)) (D) head(tail(tail(head(LS))))
9. 灏嶄簬闋嗗簭瀛樺劜鐨勭窔鎬ц〃,瑷晱绲�(ji茅)榛�(di菐n)鍜屽鍔犵祼(ji茅)榛�(di菐n)鐨勬檪闁撳京(f霉)闆滃害鐐�( )銆�
(A)O(n) O(n) (B) O(n) O(1) (C) O(1) O(n) (D) O(1) O(1)
10. 鑻ユ＇閲囩敤闋嗗簭瀛樺劜鏂瑰紡瀛樺劜,鐝�(xi脿n)鍏╁€嬫＇鍏变韩绌洪枔 V[1..m],top[j]琛ㄧず绗� j 鍊嬫＇(j=1,2)妫ч爞鎸�
閲�,妫� 1 鐨勫簳瑷�(sh猫)鍦� V[1],妫� 2 鐨勫簳瑷�(sh猫)鍦� V[m],鍓囨＇婊跨殑姊濅欢鏄�( )銆�
(A) top[2] 鈥� top[1] = = m (B) top[2] 鈥� top[1] = = 1
(C) top[2] 鈥� top[1] = = 0 (D) top[2] + top[1] = = m
浜�銆佸～绌洪(姣忕┖ 1 鍒�,鍏� 10 鍒�)
1. 寰挵(hu谩n)闅�(du矛)鍒楃敤涓嬫(bi膩o)鑼冨湇鏄� 0 鍒� m 鐨勬暩(sh霉)绲� V 瀛樻斁鍏跺厓绱犲€�,宸茬煡鍏堕牠銆佸熬鎸囬嚌鍒嗗垾鏄� f 鍜� r,f
鏄殜(du矛)棣栧厓绱犵殑鍓嶄竴鍊嬩綅缃�,r 鏄殜(du矛)灏惧厓绱犱綅缃�,鑻ョ敤鐘х壊涓€鍊嬪柈鍏冪殑杈︽硶渚嗗崁(q奴)鍒嗛殜(du矛)婊垮拰闅�(du矛)
绌�,鍓囬殜(du矛)婊跨殑姊濅欢鐐� 銆�
2. 鏈変竴鍊� 100脳200 鐨勫厓绱犲€肩偤鏁村瀷鐨勭█鐤忕煩闄�,闈為浂鍏冪礌鏈� 20 鍊�,瑷�(sh猫)姣忓€嬫暣鍨嬫暩(sh霉)鍗� 2 瀛楃瘈(ji茅),
鍓囩敤涓夊厓绲勯爢搴忚〃琛ㄧず瑭茬煩闄ｆ檪,鎵€闇€鐨勫瓧绡€(ji茅)绺芥暩(sh霉)鏄� 銆�
3. 濡傛灉鎸夐棞(gu膩n)閸电⒓鍊奸仦澧炵殑闋嗗簭渚濇灏�99鍊嬮棞(gu膩n)閸电⒓鍊兼彃鍏ュ埌浜屽弶鎺掑簭妯逛腑,鍓囧皪閫欐ǎ鐨勪簩鍙�
5
鎺掑簭妯规绱㈡檪,鍦ㄧ瓑姒傜巼鑰屼笖鏌ユ壘鎴愬姛鐨勬儏娉佷笅鐨勫钩鍧囨煡鎵鹃暦搴� ASL 鐐� 銆�
4. 涓嬮潰绋嬪簭娈典腑甯朵笅鍔冪窔鐨勮獮鍙ョ殑鍩�(zh铆)琛屾鏁�(sh霉)鐨勬暩(sh霉)閲忕礆鏄� 銆�
i=1; while (i,< V4,V5,60>, <
V4,V3,20>,< V3,V5,15>,< V2,V6,10>, < V2,V3,50>, < V1,V2,5>}銆傝姹傦細
锛�1锛� 鐣嚭瑭叉湁鍚戠恫(w菐ng)銆�
锛�2锛� 鐣嚭瑭叉湁鍚戠恫(w菐ng)鐨勯劙鎺ョ煩闄�銆�
锛�3锛� 姹傚熀浜庝綘鐨勯劙鎺ョ煩闄ｇ殑寰為爞榛�(di菐n) V1 鍑虹櫦(f膩)鐨� DFS 搴忓垪浠ュ強 DFS 鐢熸垚妯�銆�
锛�4锛� 绲﹀嚭瑭叉湁鍚戠恫(w菐ng)鐨勬墍鏈夋嫇?f霉)婧嗚铔愯泟灏�?br/>锛�5锛� 鐢� dijkstra 绠楁硶,姹傚緸婧愰粸(di菐n) V1 鍑虹櫦(f膩)鍒板叾瀹冨悇绲傞粸(di菐n)鐨勬渶鐭矾寰戜互鍙婇暦搴�,璜嬬郸鍑哄煼(zh铆)琛岀畻
娉曢亷绋嬩腑鍚勬鐨勭媭鎱�(t脿i),鍙敤涓嬮潰绲﹀嚭鐨勮〃鏍煎舰寮忚〃绀恒€�
4. (12 鍒�)鏈変竴绲�(ji茅)榛�(di菐n)鐨勯棞(gu膩n)閸靛瓧搴忓垪 F={26,36,41,38,44,15,68,12,06,51,25},
鏁ｅ垪鍑芥暩(sh霉)鐐猴細H(K)= K % 11,鍏朵腑 K 鐐洪棞(gu膩n)閸靛瓧,鏁ｅ垪鍦板潃绌洪枔鐐� 0锝�10銆傝姹傦細
锛�1锛� 鐣嚭鐩告噳(y墨ng)鐨勯枆鏁ｅ垪琛�銆傜櫦(f膩)鐢熸矕绐佹檪,浠ョ窔鎬ф帰娓硶瑙ｆ焙銆�
锛�2锛� 瑭叉暎鍒楄〃鐨勮濉洜瀛� 伪 鏄灏戯紵
锛�3锛� 鍦ㄧ瓑姒傜巼鎯呮硜涓嬫煡鎵炬垚鍔熸檪鐨勫钩鍧囨煡鎵鹃暦搴� ASL 鏄灏�锛�
锛�4锛� 鐢ㄧ窔鎬ф帰娓硶瑙ｆ焙娌栫獊鏅�,濡備綍铏曠悊琚埅闄ょ殑绲�(ji茅)榛�(di菐n)锛熺偤浠€涔�锛�
5.(8 鍒�)宸茬煡闀峰害鐐� 10 鐨勮〃{16,3,7,12,9,28,25,18,14,20},鎸夎〃涓厓绱犻爢搴忎緷娆℃彃鍏ヤ竴妫靛垵濮嬫檪
鐐虹┖鐨勫钩琛′簩鍙夋帓搴忔ü涓�,鐣嚭姣忎竴姝ユ彃鍏ュ悗骞宠 浜屽弶鎺掑簭妯圭殑褰㈡厠(t脿i)銆傝嫢鍋氫簡鏌愮ó鏃嬭綁(zhu菐n),瑾�
鏄庢棆杞�(zhu菐n)鐨勯鍨�銆�
6.(20 鍒�)宸茬煡闂�(gu膩n)閸靛瓧搴忓垪 F={22,12,26,40,18,38,14,20,30,16,28}銆傝姹傦細
锛�1锛� 灏囪┎搴忓垪瑾�(di脿o)鏁寸偤鈥滃皬闋傗€濆爢,骞剁郸鍑鸿(di脿o)鏁撮亷绋�銆傝珛寰炴檪闁撳拰绌洪枔鍏╂柟闈㈠皪绨″柈閬告搰鎺�
搴�銆佹ü褰㈤伕鎿囨帓搴忓拰鍫嗘帓搴忎綔涓€姣旇純銆�
6
锛�2锛� 鑻ラ噰鐢ㄩ張?zh菙n)浜ら稏?sh霉)鎺掑簭鏂规硶鎺掑簭,璜嬪鍑虹涓€瓒熲€滃垎閰嶁€濅箣鍚庡悇闅�(du矛)鍒楃殑鐙€鎱�(t脿i)鍜岀涓€瓒熲€滄敹
闆嗏€濅箣鍚庣殑闂�(gu膩n)閸靛瓧搴忓垪銆傚苟璜嬬啊瑕佽鍑哄熀鏁�(sh霉)鎺掑簭鏂规硶鍜屽叾浠栨帓搴忔柟娉曟湁浠€涔堝崁(q奴)鍒�锛�
锛�3锛� 瑕佹眰鏈€鍚庢帓搴忕祼(ji茅)鏋滄槸鎸夐棞(gu膩n)閸靛瓧寰炲皬鍒板ぇ鐨勬搴忔帓鍒�,璜嬬郸鍑哄啋娉℃帓搴忕殑鍓� 3 瓒熸帓搴忕祼(ji茅)
鏋�銆�
鍥�銆佺啊绛旈(鍏� 30 鍒�)
1. (6 鍒�)绶氭€ц〃鐨勯爢搴忓瓨鍎茬祼(ji茅)妲�(g貌u)鍜岄張?zh菙n)閰遍幆顬塝(ji茅)妲�(g貌u)鍚勬湁鍝簺鍎�(y艒u)缂洪粸(di菐n)锛�
2. (8 鍒�)鐣嚭灏嶉暦搴� n 鐐� 10 鐨勯仦澧炴湁搴忚〃{A[1]銆丄[2]銆佲€︹€︺€丄[10]}閫�(j矛n)琛屾姌鍗婃煡鎵剧殑鍒ゅ畾
妯�銆傜暥(d膩ng)瀵�(sh铆)鐝�(xi脿n)鎻掑叆鎺掑簭閬庣▼鏅�,鍙互鐢ㄦ姌鍗婃煡鎵句締纰哄畾绗� i 鍊嬪厓绱犲湪鍓� i-1 鍊嬪厓绱犱腑鐨勫彲鑳芥彃
鍏ヤ綅缃�,閫欐ǎ鍋氳兘鍚︽敼鍠勬彃鍏ユ帓搴忕殑鏅傞枔寰�(f霉)闆滃害锛熺偤浠€涔�锛�
3. (8 鍒�)蹇€熸帓搴忕殑骞冲潎鏅傞枔寰�(f霉)闆滃害鏄灏�锛熷揩閫熸帓搴忓湪鎵€鏈夊悓鏁�(sh霉)閲忕礆鐨勬帓搴忔柟娉曚腑,鍏跺钩
鍧囨€ц兘濂�銆備絾鍦ㄤ粈涔堟儏娉佷笅蹇€熸帓搴�?q奴)鈶兼嚐鐧佹楣嬭彇鍒�?姝ゆ檪鐨勬檪闁撳京(f霉)闆滃害鍙堟槸澶氬皯锛熺偤
鏀归€�(j矛n)涔�,閫�?锛熸ⅱ鏍借逗閱嬭Н?br/>4. (8 鍒�)璜嬬啊瑕佹晿杩版眰鏈€灏忕敓鎴愭ü鐨� Prim 绠楁硶鐨勬€濇兂(鎴栨椹�)銆傚苟鎸囧嚭灏嶅叿鏈� n 鍊嬮爞榛�(di菐n)鍜� e
姊濋倞鐨勯€ｉ€氱恫(w菐ng)鑰岃█,Prim 绠楁硶鍜孠ruskal绠楁硶鍚勮嚜閬╁悎浜庝粈涔堟儏娉佷笅鐨勯€ｉ€氱恫(w菐ng)锛熷叾鏅傞枔寰�(f霉)闆�
搴﹀張鍚勭偤澶氬皯锛�
浜斻€佺畻娉曡ō(sh猫)瑷堥(鍏� 20 鍒�)
1.(10 鍒�) 绲﹀畾( 宸茬敓鎴�) 涓€鍊嬪付琛ㄩ牠绲�(ji茅)榛�(di菐n)鐨勫柈閺堣〃, 瑷�(sh猫) head 鐐洪牠鎸囬嚌, 绲�(ji茅)榛�(di菐n)鐨勭祼(ji茅)妲�(g貌u)鐐�
(data,next),data 鐐烘暣鍨嬪厓绱�,next 鐐烘寚閲�,瑭﹀鍑虹畻娉曪細鎸夐仦娓涙搴忚几鍑哄柈閺堣〃涓悇绲�(ji茅)榛�(di菐n)鐨勬暩(sh霉)
鎿�(j霉)鍏冪礌,骞堕噵鏀剧祼(ji茅)榛�(di菐n)鎵€鍗犵殑瀛樺劜绌洪枔銆�(瑕佹眰锛氫笉鍏佽ū浣跨敤鏁�(sh霉)绲勪綔杓斿姪绌洪枔)
2.(10 鍒�)浠ヤ簩鍙夐張琛ㄤ綔鐐轰簩鍙夋ü鐨勫瓨鍎茬祼(ji茅)妲�(g貌u),瑭︾法瀵仦姝哥畻娉�,姹備簩鍙夋ü涓互鍏冪礌鍊肩偤 item 鐨�
绲�(ji茅)榛�(di菐n)鐐烘牴鐨勫瓙妯圭殑娣卞害(鍋囪ō(sh猫)妯逛腑涓€瀹氬瓨鍦ㄥ€肩偤 item 鐨勭祼(ji茅)榛�(di菐n))銆�
娉ㄦ剰锛�
(1)鍙敤(椤�)Pascal 瑾炶█鎴�(椤�)C 瑾炶█鎴� C++瑾炶█鎻忚堪浣犵殑绠楁硶锛�
(2)璜嬬啊瑕佹弿杩颁綘鐨勭畻娉曟€濇兂锛�
(3)鑻ヤ綘鐨勭畻娉曟槸(椤�)Pascal 鎴�(椤�)C 瑾炶█绶ㄥ,鍓囪珛绲﹀嚭鐩告噳(y墨ng)鐨勫瓨鍎茬祼(ji茅)妲�(g貌u)鎻忚堪锛�
(4)鑻ヤ綘鐨勭畻娉曟槸鐢� C++瑾炶█鎻忚堪,鍓囧彲鍙冭€冧娇鐢ㄤ互涓嬬郸鍑虹殑鐩搁棞(gu膩n)瀛樺劜绲�(ji茅)妲�(g貌u)鐨勯瀹氱京,绠�
娉曚腑鍙互浣跨敤椤炰腑宸插垪鍑虹殑鎴愬摗鍑芥暩(sh霉)銆傝嫢鍦ㄤ綘鐨勭畻娉曚腑浣跨敤浜嗘湭鍒楀嚭鐨勬垚鍝″嚱鏁�(sh霉),鍓囪瀵嚭
瑭叉垚鍝″嚱鏁�(sh霉)鐨勫畬鏁寸畻娉曟弿杩�
//鍠張琛ㄧ殑椤炲畾缇�
template class linklist; //鍠張琛ㄥ墠瑕栬伈鏄�
template class node{//鍠張琛ㄧ祼(ji茅)榛�(di菐n)椤�
friend class linklist ; //瀹氱京鍠張琛ㄩ linklist 鐐虹祼(ji茅)榛�(di菐n)椤炵殑鍙嬪厓
private:
node *next; //閺堟寚閲濆煙
public:
type data; //鏁�(sh霉)鎿�(j霉)鍩�
node (node *pnext = NULL) {next = pnext;}//妲�(g貌u)閫犲嚱鏁�(sh霉),鐢ㄤ簬妲�(g貌u)閫犻牠绲�(ji茅)榛�(di菐n)
};
template class linklist{ //鍠張琛ㄩ瀹氱京
private:
node *head; //鎸囧悜闋祼(ji茅)榛�(di菐n)鐨勯牠鎸囬嚌
public:
linklist ( ){ head = new node ( ); head->next=NULL; }//妲�(g貌u)閫犲嚱鏁�(sh霉)
~linklist ( ); //鏋愭(g貌u)鍑芥暩(sh霉)
7
};
//浜屽弶閺堣〃鐨勯瀹氱京锛�
template class BinaryTree; //浜屽弶閺堣〃椤炲墠瑕栬伈鏄�,浠ヤ究浣跨敤鍙嬪厓
template class BinTreeNode { //绲�(ji茅)榛�(di菐n)椤�
friend class BinaryTree;
private:
BinTreeNode *leftChild, *rightChild; //绲�(ji茅)榛�(di菐n)鐨勫乏銆佸彸瀛╁瓙鎸囬嚌鍩�
Type data; //绲�(ji茅)榛�(di菐n)鐨勬暩(sh霉)鎿�(j霉)鍩�
public:
BinTreeNode ( ) : leftChild (NULL), rightChild (NULL) { } //妲�(g貌u)閫犲嚱鏁�(sh霉),妲�(g貌u)閫犱竴鍊嬬┖绲�(ji茅)榛�(di菐n)
BinTreeNode (Type d, BinTreeNode *lp = NULL, BinTreeNode *rp =NULL ) :
data (d), leftChild (lp), rightChild (rp) { }
//妲�(g貌u)閫犲嚱鏁�(sh霉),妲�(g貌u)閫犱竴鍊嬫暩(sh霉)鎿�(j霉)鍩熺殑鍊肩偤 d 鐨勭祼(ji茅)榛�(di菐n)
};
template class BinaryTree { //浜屽弶閺堣〃椤�
private:
BinTreeNode *root; //浜屽弶妯规牴绲�(ji茅)榛�(di菐n)鎸囬嚌
public:
BinaryTree ( ) : root (NULL) { } //妲�(g貌u)閫犲嚱鏁�(sh霉)
~BinaryTree ( ) { destroy ( root ); } //鏋愭(g貌u)鍑芥暩(sh霉)
};
鍙冭€冪瓟妗�
涓€銆佸柈闋�(xi脿ng)閬告搰椤�
1. A锛�2. B锛�3. C锛�4. D锛�5. D锛�6. C锛�7. B锛�8. A锛�9. C锛�10. B锛�
浜�銆佸～绌洪
1. (r-f+m+1)%(m+1)
2. 20*3*2+6=126
3. (99+1)/2=50
4. O(nlog2n)
5. (9+1)/2+(6+1)/2=17/2=8.5
6. log3(244+1)鐨勪笂鍙栨暣鎴� log3244 涓嬪彇鏁�+1
7. 闀峰害鐩哥瓑,灏嶆噳(y墨ng)浣嶇疆鐨勫瓧绗︾浉鍚�
8. n
9. abc+*d-
10. 500 (n2=499,n0=n2+1=499+1=500)
涓夈€佹噳(y墨ng)鐢ㄩ
1.
(1)浜屽弶妯�
8
D FE
CB
A
JH KG
L
I
(2)妫灄
D
F
E
C
B
A
J
H
K
G L
I
(3)涓簭鍏ㄧ窔绱簩鍙夋ü
D FE
CB
A
JH KG
L
I
NULL
NULL
(4)闆欒Κ瀛╁瓙閺堣〃
A -1
B 1
E 1 ^
I 1 ^
D 2
H 2 ^
G 5 ^
L 5 ^
1
2
3
4
5
6
7
8
2 ^43
^65
^87
2.
(1)
9
(2)
(3)
WPL=(3+6)*4+(8+10+15)*3+(19+21)*2=36+99+80=215
3.
(1)
V1
510
V3
V6
V2
V5
V4
20
30
100
60
15
50
(2)
10
1 2 3 4 5 6
1 0 5 鈭� 鈭� 鈭� 鈭�
2 鈭� 0 50 鈭� 鈭� 10
3 鈭� 鈭� 0 鈭� 15 鈭�
4 鈭� 鈭� 20 0 60 鈭�
5 鈭� 鈭� 鈭� 鈭� 0 鈭�
6 鈭� 鈭� 鈭� 30 100 0
(3)
DFS 搴忓垪锛歏1,V2,V3,V5,V6,V4
DFS 鐢熸垚妯癸細
V1 5
10
V3
V6
V2
V5
V430
15
50
(4)鎷�?f霉)婀泟鏍＄1,V2,V6,V4,V3,V5
(5)
V1 (1) (2) (3) (4) (5)
V2 (V1,V2)
5
X X X X
V3 鈭� (V1,V2,V3)
55
(V1,V2,V3)
55
(V1,V2,V3)
55
X
V4 鈭� 鈭� (V1,V2,V6,V4)
45
X X
V5 鈭� 鈭� (V1,V2,V6,V5)
115
(V1,V2,V6,V4,V5)
105
(V1,V2,V3,V5)
70
V6 鈭� (V1,V2,V6)
15
X X X
u
(u,v)
闀峰害
V2
(V1,V2)
5
V6
(V1,V2,V6)
15
V4
(V1,V2,V6,V4)
45
V3
(V1,V2,V3)
55
V5
(V1,V2,V3,V5)
70
4.
(1)
闂�(gu膩n)閸靛瓧 26 36 41 38 44 15 68 12 06 51 25
HASH 鍑芥暩(sh霉)鍊� 4 3 8 5 0 4 2 1 6 7 3
姣旇純娆℃暩(sh霉) 1 1 1 1 1 3 1 1 2 3 8
H(k)=k%11, 鏁�(sh霉)绲勮寖鍦嶏細0~10
涓嬫(bi膩o) 0 1 2 3 4 5 6 7 8 9 10
闂�(gu膩n)閸靛瓧 44 12 68 36 26 38 15 06 41 51 25
娌栫獊闂�(gu膩n)閸靛瓧 25 15 06 51
11
(2)
伪=n/m=11/11=1
(3)
1 1 23
() (1 7 2 1 3 2 8 1)
11 11
i
ASL c
n
? ? ? ? ? ? ? ? ? ??
(4)
涓嶈兘鐪熸鍦扳€滅墿鐞嗏€濆埅闄�,鍙兘鍋氣€滃埅闄ゆ(bi膩o)瑷樷€�,鍚﹀墖灏囨埅鏂峰湪瀹冧箣鍚庡～鍏ユ暎鍒楄〃鐨勫悓缇╄绲�(ji茅)
榛�(di菐n)鐨勬煡鎵捐矾寰�銆�
5.
{16,3,7,12,9,28,25,18,14,20}
12
7 18
93 2516
14 20 28
12
7 25
93 2816
14 18
20
12
7 25
93 2816
12
7 16
93 28
7
3 12
9 16
7
3 16
12
9
7
3 16
16
3
7
LR LL
RL LR
骞宠
骞宠
骞宠
骞宠
7
3 12
9 16
28
12
7 16
93 28
25
RR
骞宠
6. (1)
(2)
12
閺�?zh菙n)浜ら稏?sh霉)鎺掑簭鍜屽叾浠栨帓搴忔柟娉曠殑鏈€澶у崁(q奴)鍒ユ槸鍚勯棞(gu膩n)閸靛瓧涔嬮枔娌掓湁鐧�(f膩)鐢熸瘮杓冦€�
(3)
鍒濆 22 12 26 40 18 38 14 20 30 16 28
(1) 12 22 26 18 38 14 20 30 16 28 40
(2) 12 22 18 26 14 20 30 16 28 38
(3) 12 18 22 14 20 26 16 28 30
鍥�銆佺啊绛旈
1.
闋嗗簭瀛樺劜绲�(ji茅)妲�(g貌u) 閺�?zh菙n)閰遍幆顬塝(ji茅)妲�(g貌u)
鍎�(y艒u)
榛�(di菐n)
瀛樺彇绗� i 鍊嬪厓绱犳柟渚�(闅ㄦ(j墨)瀛樺彇),O(1) (1) 鎻掑叆銆佸埅闄や笉闇€绉诲嫊鍏冪礌,鍙慨鏀规寚閲�,淇�
鏀规寚閲濈殑鏅傞枔寰�(f霉)闆滃害鐐� O(1)锛�
(2) 涓嶉渶瑕侀爯(y霉)鍏堝垎閰嶇┖闁�,鍙牴鎿�(j霉)闇€瑕佸嫊鎱�(t脿i)鐢�
璜嬬┖闁�锛�
(3) 琛ㄥ閲忓彧鍙楀彲鐢ㄥ収(n猫i)瀛樼┖闁撶殑闄愬埗銆�
缂�
榛�(di菐n)
(1) 鍦ㄤ綔鎻掑叆鎴栧埅闄ゆ搷浣滄檪,闇€绉诲嫊澶ч噺
鍏冪礌锛�
(2) 鐢变簬闆ｄ互浼拌▓,蹇呴爤闋�(y霉)鍏堝垎閰嶈純澶х殑
绌洪枔,寰€寰€浣垮瓨鍎茬┖闁撲笉鑳藉緱鍒板厖鍒�
鍒╃敤锛�
(3) 琛ㄧ殑瀹归噺闆ｄ互鎿�(ku貌)鍏呫€�
(1) 瀛樺彇绗� i 鍊嬪厓绱犱笉鏂逛究,鏄� O(n)
2.
锛�1锛� 闀峰害 n 鐐� 10 鐨勯仦澧炴湁搴忚〃鎶樺崐鏌ユ壘鐨勫垽瀹氭ü
濡傚乏鎵€绀�銆�
锛�2锛� 涓嶈兘鏀瑰杽鎻掑叆鎺掑簭鐨勬檪闁撳京(f霉)闆滃害
锛�3锛� 鍘熷洜锛氭彃鍏ユ帓搴忎腑,鐢ㄦ姌鍗婃煡鎵剧⒑瀹氬緟鎻掑叆鍏�
绱犱綅缃�,姣旂洿鎺ユ彃鍏ユ帓搴忔笡灏戜簡姣旇純娆℃暩(sh霉),浣嗘暩(sh霉)
鎿�(j霉)绉诲嫊娆℃暩(sh霉)娌掓湁鏀硅畩,鎺掑簭鐨勬檪闁撳京(f霉)闆滃害涔熸湭
鏀硅畩銆�
3.
1 93
82
5
6
7 104
13
蹇€熸帓搴忕殑骞冲潎鏅傞枔寰�(f霉)闆滃害鐐� O(nlogn)銆�
鍦ㄩ棞(gu膩n)閸靛瓧鏈夊簭鎴栧熀鏈湁搴忕殑鎯呮硜涓�,蹇€熸帓搴�?q奴)鈶兼嚐鐧佹楣嬭彇鍒ら?br/>姝ゆ檪鐨勬檪闁撳京(f霉)闆滃害鏄� O(n
2
)銆�
鐐烘敼閫�(j矛n)涔�,閫氬父鍙互閲囩敤鈥滀笁鑰呭彇涓硶鈥�,鍙栦笁鑰呬腑鍏堕棞(gu膩n)閸靛瓧鐐轰腑闁撳€肩殑瑷橀寗鐐烘杌�,鍙灏囪┎
瑷橀寗鍜屽緟鎺掑簭琛ㄧ殑绗竴鍊嬮棞(gu膩n)閸靛瓧浜掓彌鍗冲彲,绠楁硶涓嶈畩銆�
4.绠楁硶鎬濇兂锛氳ō(sh猫) N=(V,{E})鏄€ｉ€氱恫(w菐ng),TE 鏄� N 涓婃渶灏忕敓鎴愭ü涓倞鐨勯泦鍚�
(1)鍒濆浠� U={u0},(u0?V), TE=?
(2)鍦ㄦ墍鏈� u?U,v?V-U 鐨勯倞(u,v)?E 涓�,鎵句竴姊濅唬鍍规渶灏忕殑閭�(u0,v0)
(3)灏�(u0,v0)骞跺叆闆嗗悎 TE,鍚屾檪 v0 骞跺叆 U.鍗� TE=TE+{(u0,v0)},U=U+{v0}
(4)閲嶅京(f霉)涓婅堪(2),(3)鎿嶄綔鐩磋嚦 U=V 鐐烘,鍓� T=(V,{TE})鐐� N 鐨勬渶灏忕敓鎴愭ü
灏嶅叿鏈� n 鍊嬮爞榛�(di菐n)鍜� e 姊濋倞鐨勯€ｉ€氱恫(w菐ng)鑰岃█:
Prim 绠楁硶閬╁悎浜庨倞绋犲瘑鐨勯€ｉ€氱恫(w菐ng),鍏舵檪闁撳京(f霉)闆滃害鐐� O(n
2
),鑸囬爞榛�(di菐n)鏁�(sh霉)鏈夐棞(gu膩n)
Kruskal 绠楁硶閬╁悎浜庨倞绋€鐤忕殑閫ｉ€氱恫(w菐ng),鍏舵檪闁撳京(f霉)闆滃害鐐� O(elog2e),鑸囬倞鐨勬鏁�(sh霉)鏈夐棞(gu膩n)
浜�銆佺畻娉曡ō(sh猫)瑷堥
1.
绠楁硶鎬濇兂锛氬皪閺堣〃閫�(j矛n)琛岄亶姝�,鍦ㄦ瘡瓒熼亶姝蜂腑鏌ユ壘鍑烘暣鍊嬮張琛ㄧ殑鏈€澶у€煎厓绱�,杓稿嚭骞堕噵鏀剧祼(ji茅)榛�(di菐n)鎵€
鍗犵┖闁�锛涘啀鏌ユ鏈€澶у€煎厓绱�,杓稿嚭骞堕噵鏀剧┖闁�,濡傛涓嬪幓,鐩磋嚦閺堣〃鐐虹┖,鏈€鍚庨噵鏀鹃牠绲�(ji茅)榛�(di菐n)鎵€鍗犲瓨
鍎茬┖闁�銆�
void MiniDelete(linklist head)
鈭ead鏄付闋祼(ji茅)榛�(di菐n)鐨勫柈閺堣〃鐨勯牠鎸囬嚌,鏈畻娉曟寜閬炲闋嗗簭杓稿嚭鍠張琛ㄤ腑鍚勭祼(ji茅)榛�(di菐n)鐨勬暩(sh霉)鎿�(j霉)鍏冪礌,骞�
閲嬫斁绲�(ji茅)榛�(di菐n)鎵€鍗犵殑瀛樺劜绌洪枔銆�
{
while(head->next!=null) 鈭ュ惊鐠�(hu谩n)鍒板儏鍓╅牠绲�(ji茅)榛�(di菐n)銆�
{pre=head锛� 鈭re 鐐哄厓绱犳渶澶у€肩祼(ji茅)榛�(di菐n)鐨勫墠椹�(q奴)绲�(ji茅)榛�(di菐n)鐨勬寚閲�銆�
p=pre->next锛� 鈭 鐐哄伐浣滄寚閲�
while(p->next!=null)
{if(p->next->data>=pre->next->data)pre=p锛涒垾瑷樹綇鐣�(d膩ng)鍓嶆渶澶у€肩祼(ji茅)榛�(di菐n)鐨勫墠椹�(q奴)
p=p->next锛�
}// while(p->next!=null)
cout data锛涒垾杓稿嚭鍏冪礌鏈€澶у€肩祼(ji茅)榛�(di菐n)鐨勬暩(sh霉)鎿�(j霉)銆�
q=pre->next锛沺re->next=q->next; delete q锛涒垾鍒櫎鍏冪礌鍊兼渶澶х殑绲�(ji茅)榛�(di菐n) q,閲嬫斁绲�(ji茅)榛�(di菐n)绌�
闁�
}鈭� while(head->next!=null)
delete head锛涒垾閲嬫斁闋祼(ji茅)榛�(di菐n)銆�
}// MiniDelete
2.(10 鍒�)
绠楁硶鎬濇兂锛氬湪妯逛腑鍏堟壘鍊肩偤 item 鐨勭祼(ji茅)榛�(di菐n) p,鐒跺悗鍐嶆眰浠� p 鐐烘牴鐨勫瓙妯圭殑娣卞害銆�
int GetSubDepth(BinaryTree p,Type item){
if (p->data = = item) {//鎵惧埌鍊肩偤 item 鐨勭祼(ji茅)榛�(di菐n) p
return GetDepth(p);//姹備互 p 鐐烘牴鐨勫瓙妯圭殑娣卞害
}
else {//鍦ㄥ乏銆佸彸瀛愭ü涓辜绾�(x霉)灏嬫壘鍊肩偤 item 鐨勭祼(ji茅)榛�(di菐n)
if (p->leftChild != NULL) GetSubDepth(p->leftChild, item );
14
if (p->rightChild != NULL) GetSubDepth(p->rightChild, item );
}
}// GetSubDepth
int GetDepth(BinaryTree p){//姹傚瓙妯� p 鐨勬繁搴�
int m,n;
if ( p= = NULL) return 0;//绌烘ü鐨勬繁搴︽槸 0
else {//涓嶆槸绌烘ü
m=GetDepth(p->leftChild); //姹� p 鐨勫乏瀛愭ü鐨勬繁搴�
n=GetDepth(p->rightChild); //姹� p 鐨勫彸瀛愭ü鐨勬繁搴�
return (m>n?m:n)+1;//妯� p 鐨勬繁搴︽槸鍏跺乏銆佸彸瀛愭ü娣卞害澶ц€呭姞 1
}
}//GetDepth
鍏嶈铂(z茅)鑱叉槑锛氭湰鏂囩郴杞�(zhu菐n)杓夎嚜缍�(w菐ng)绲�(lu貌)锛屽鏈変镜鐘�锛岃珛鑱�(li谩n)绯绘垜鍊戠珛鍗冲埅闄�锛屽彟锛氭湰鏂囧儏浠ｈ〃浣滆€呭€嬩汉瑙€榛�(di菐n)锛岃垏鏈恫(w菐ng)绔欑劇闂�(gu膩n)銆傚叾鍘熷壍(chu脿ng)鎬т互鍙婃枃涓櫝杩版枃瀛楀拰鍏�(n猫i)瀹规湭缍�(j墨ng)鏈珯璀夊(sh铆)锛屽皪鏈枃浠ュ強鍏朵腑鍏ㄩ儴鎴栬€呴儴鍒嗗収(n猫i)瀹�銆佹枃瀛楃殑鐪熷(sh铆)鎬�銆佸畬鏁存€�銆佸強鏅傛€ф湰绔欎笉浣滀换浣曚繚璀夋垨鎵胯锛岃珛璁€鑰呭儏浣滃弮鑰�锛屽苟璜嬭嚜琛屾牳瀵�(sh铆)鐩搁棞(gu膩n)鍏�(n猫i)瀹�銆�
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鏂囩珷鎼滅储
鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 
