锘??xml version="1.0" encoding="utf-8" standalone="yes"?>久久无码AV中文出轨人妻,一本色道久久88—综合亚洲精品,办公室久久精品http://m.shnenglu.com/Climber-pI/category/14905.htmlThrough the darkest dark錛宮ay we see the light.zh-cnWed, 06 Oct 2010 21:48:35 GMTWed, 06 Oct 2010 21:48:35 GMT60杞?鍦ㄥ崥瀹㈠洯鏃ュ織涓樉紺烘暟瀛﹀叕寮忥紙鏃э紝ASCIIMathML.js鐗堣鏄庯級http://m.shnenglu.com/Climber-pI/archive/2010/10/04/128557.htmlClimber.pIClimber.pIMon, 04 Oct 2010 03:53:00 GMThttp://m.shnenglu.com/Climber-pI/archive/2010/10/04/128557.htmlhttp://m.shnenglu.com/Climber-pI/comments/128557.htmlhttp://m.shnenglu.com/Climber-pI/archive/2010/10/04/128557.html#Feedback0http://m.shnenglu.com/Climber-pI/comments/commentRss/128557.htmlhttp://m.shnenglu.com/Climber-pI/services/trackbacks/128557.htmlhttp://m.shnenglu.com/Climber-pI/archive/2010/10/04/128557.html

銆愯矊浼糃PU鍗犵敤鐜囦細紿佺劧寰堥珮銆?br>

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浠婂ぉ涓嬬彮鍥炴潵灝辯湅鍒板洖澶嶇殑娑堟伅錛屽唴瀹瑰涓嬶細

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鐪熸槸寮蹇冨晩錛屼負浜嗚繖涓?#8220;灝?#8221;鍔熻兘鎴戝凡緇忔剚浜嗗緢涔呬簡錛屽ソ浜嗭紝鑳芥湁寰堝ソ鐨勪唬鐮侀珮浜拰鏁板鍏紡鏄劇ず~鎴戝凡緇忔弧瓚充簡錛屽懙鍛點?/font>

PS錛?/font>

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鎮ㄥ彧瑕侀伒寰畝鍗曠殑璇硶錛岀敤鏅氱殑ASCII瀛楁瘝鍜岀鍙鳳紝灝卞彲浠ュ湪緗戦〉涓婅緭鍏ュ茍鏄劇ず鍑烘紓浜殑鏁板鍏紡銆?font color=#ff0000>榪欎簺鍏紡閬靛驚W3C鏍囧噯錛岀洰鍓嶅湪Netscape7.1/Mozilla/Firefox涓嬪彲浠ョ洿鎺ヨ鐪嬶紝濡傛灉鎮ㄧ敤鐨勬槸Internet Explorer鍜屼互涔嬩負鍐呮牳鐨勫叾瀹冩祻瑙堝櫒錛堝Maxthon鎴栬匞reenBrowser絳夛級錛屽彧闇瑕佷笅杞戒竴涓彃浠躲?涓嬭澆鎻掍歡MathPlayer錛屼笅杞?/font>瀛椾綋鏂囦歡)



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姹傚澶嶄範http://m.shnenglu.com/Climber-pI/archive/2010/09/22/127350.htmlClimber.pIClimber.pIWed, 22 Sep 2010 10:28:00 GMThttp://m.shnenglu.com/Climber-pI/archive/2010/09/22/127350.htmlhttp://m.shnenglu.com/Climber-pI/comments/127350.htmlhttp://m.shnenglu.com/Climber-pI/archive/2010/09/22/127350.html#Feedback0http://m.shnenglu.com/Climber-pI/comments/commentRss/127350.htmlhttp://m.shnenglu.com/Climber-pI/services/trackbacks/127350.html鐢變簬姹傚鍦ㄥ嚱鏁版柟闈㈠嚭浜烘剰鏂欑殑搴旂敤錛屾墍浠ヨ榪紑濮嬪涔犳眰瀵?  = =

1.鍗曡皟鎬?br>鍦ㄦ煇涓鍖洪棿鍐協 '(x)>0 => 鍦ㄦ鍖洪棿鍐呭嚱鏁板崟璋冮掑
鍦ㄦ煇涓鍖洪棿鍐協 '(x)<0 => 鍦ㄦ鍖洪棿鍐呭嚱鏁板崟璋冮掑噺

2.鏋佸?br>褰搙=a鏃跺彇鏋佸鹼紝鍒欐湁f '(a)=0

3.鍑瑰嚫鎬?br>f ''(x)>0 涓嬪嚫鏇茬嚎
f ''(x)<0 涓婂嚫鏇茬嚎

璨屼技灝辮繖浜涗簡錛屼笉榪囩瓟棰樻牸寮忚繕鏄竴涓棶棰?..榪欐鏁板浣滀笟灝卞綋瀹為獙綆椾簡 = =

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銆婂悓涓鐢熻皥鎺掑垪緇勫悎銆嬭嫃娣?璇諱功鏈http://m.shnenglu.com/Climber-pI/archive/2010/09/20/127184.htmlClimber.pIClimber.pIMon, 20 Sep 2010 13:57:00 GMThttp://m.shnenglu.com/Climber-pI/archive/2010/09/20/127184.htmlhttp://m.shnenglu.com/Climber-pI/comments/127184.htmlhttp://m.shnenglu.com/Climber-pI/archive/2010/09/20/127184.html#Feedback0http://m.shnenglu.com/Climber-pI/comments/commentRss/127184.htmlhttp://m.shnenglu.com/Climber-pI/services/trackbacks/127184.html寮曪細“鎴戜滑瑕佹妸鍘氫功璇昏杽錛屽啀鎶婅杽涔﹁鍘?”
榪涗竴姝ョ殑緋葷粺鍖栧皢鍦ㄨ瀹岃繖鏈功鍚庯紝浠ヨ〃鏍兼垨鑰呮濈淮瀵煎浘鐨勫艦寮忓嚭鐜?


涓銆佷箻娉曞師鐞?/p>

涔樻硶鍘熺悊璁ㄨ鍒嗛樁孌靛姙浜嬭繃紼嬩腑鐨勮鏁伴棶棰?

鐢ㄩ泦鍚堣瑙傜偣瑙i噴錛?br>鎶婂垎闃舵榪涜鐨勪簨鎯呯湅浣滀竴縐嶅閲嶉夊彇榪囩▼錛屾瘡涓涓繃紼嬮兘鏄嚜鏌愪釜闆嗗悎鎸戦変竴涓厓绱狅紝鐒跺悗鑰冭檻鏈夊灝戠涓嶅悓鐨勬寫閫夋柟寮?

銆愬簲鐢ㄣ戞暟鐨勬暣闄わ紝鍥犳暟鍒嗚В闂

銆愪緥3銆?160鐨勬綰︽暟涓暟.
2160 = 2^4 * 3^3 * 5^1
鍒欎換鎰忕害鏁板艦寮忎負2^i * 3^j * 5 ^k (0<=i<=4, 0<=j<=3, 0<=k<=1)
鎵浠ョ害鏉熶釜鏁頒負(4+1)(3+1)(1+1)=32.

銆愪緥5銆戜粠棰樼洰涓娊璞″嚭妯″瀷.

銆愪緥6銆?涓涓粨璁猴細[u,v]=n, 浠鐨勫洜瀛恟鐨勪釜鏁頒負n(r)錛屾湁k涓洜瀛?
鍒欑鍚堣姹傜殑鏁板涓暟涓?(2n(r)+1)*..*(2n(r)+1).
闇瑕佹敞鎰忕殑鏄渶澶у叕綰︽暟錛屾槸鍘諱袱鏁版煇鍥犲瓙鐨勬渶澶у?

銆愪緥7銆戣ˉ闆嗘濇兂.(鎺掗櫎娉?
鍦ㄦ暣闄ゆч棶棰樹腑錛岀‘瀹氬墠n-1浣嶏紝鐒跺悗鍒嗙被璁ㄨ絎琻浣嶇殑鎯呭喌.

銆愪緥8銆戠湅浜嗭紝鏈噦.


浜屻侀噸澶嶆帓鍒?/p>

銆愬畾涔夈戝鏋滃湪鍚屼竴涓猲闃墮泦鍚?鏈塶涓厓绱?涓緷嬈¤繘琛宬嬈¢夊彇錛岃屼笖閫夎繃鐨勫厓绱犺繕鍙互鍐嶉夛紝鍒欎竴鍏辨湁n^k涓笉鍚岀殑閫夊彇鏂瑰紡(鍗抽噸澶嶆帓鍒楁柟寮?.

銆愬簲鐢ㄣ戠┖闂磋В鏋愬嚑浣曘侀泦鍚堝瓙闆嗘ц川鐨勮璁?/p>

銆愪緥5銆戠珛鏂逛綋{(x,y,z):0<=x,y,z<=a}欏剁偣鍧愭爣.

璇?鏄劇劧姣忎釜欏剁偣(x,y,z)鐨勪笁涓潗鏍囬兘鏄泦鍚坽0,a}鐨勫厓绱狅紝鎵浠ュ叡鏈?^3涓笉鍚岀殑欏剁偣.鍧愭爣鐣?

銆愪緥6銆戝湪涓夌淮嬈ф皬絀洪棿緇欏嚭9涓牸鐐?鍧愭爣鍊間負鏁存暟)錛屾眰璇佸叾涓繀鏈変袱鐐逛腑鐐瑰潗鏍囦負鏍肩偣.

璇?鑻ヤ袱鐐笰(x1,y1,z1)鍜孊(x2,y2,z2)鐨勪腑鐐逛負鏍肩偣錛屽繀鏈墄1鍜寈2錛寉1鍜寉2錛寊1鍜寊2鍜屼負鍋舵暟錛屽嵆涓よ呭鍋舵х浉鍚?
鑰冭檻鑰冭檻嬈ф皬絀洪棿鏍肩偣濂囧伓鎬ф儏鍐靛彲鐭ワ紝姣忎釜鍧愭爣鍊奸兘鏄瘂濂囨暟錛屽伓鏁皚涓竴涓厓绱狅紝鎵浠ユ牸鐐規湁8縐嶄笉鍚岀殑濂囧伓鎬?浠庤岋紝鍘熷懡棰樼敱鎶藉眽鍘熺悊鍙瘉.


銆愪緥7銆憂闃墮泦鍚堝叡鏈?^n涓瓙闆嗭紝2^n-1涓湡瀛愰泦.

銆愪緥9銆戞鐩橀棶棰橈紝浠庡乏涓嬭璧板埌鍙充笂瑙掞紝n+1琛岋紝m+1鍒楋紝姹傝瘉f(m,n)<=2^(mn).

璇?閬撹礬灝嗗煄甯傚垎鎴恗n涓柟鍧楋紝鑰岃礬綰垮張灝嗘柟鍧楀垎鎴愪袱涓瓙闆?鍏朵腑涓涓彲鑳戒負絀?錛屾樉鐒朵笉鍚屽瓙闆嗕釜鏁頒負2^(mn).鍗砯(m,n)<=2^(mn)錛屽綋涓斾粎褰搈=n=1鏃剁瓑鍙鋒垚绔?

涓夈佹帓鍒?br>
銆愬畾涔夈戜粠n涓笉鍚岀殑鍏冪礌涓湁嬈″簭鍦伴夊彇k(1<=k<=n)涓紝鍙仛浠巒涓笉鍚屽厓绱犱腑鍙栧嚭k涓厓绱犵殑涓涓帓鍒?

銆愬簲鐢ㄣ戠粍鏁伴棶棰樹腑鐨?#8220;鏃犻噸澶嶆暟瀛?#8221;闂.

銆愪緥4銆戝埄鐢ㄨˉ闆嗘濇兂澶勭悊鏃犻噸澶嶆暟瀛楅棶棰?鑰冭檻涓嶅弬鍔犵粍鏁扮殑鏁板瓧鏁撮櫎鎯呭喌鍜屾墍鏈夋暟瀛楁暣闄ゆ儏鍐?鑱旂郴1.7)

銆愪緥5銆戦愪綅璁ㄨ.

銆愪緥7銆戞敞鎰忓埌k涓暟瀛楀彇鑷笉鍚岃鍒?鑱旀兂鐨囧悗闂)錛屾墍浠ュ瓙闆嗕釜鏁頒負k!錛屾瘡涓瓙闆嗙殑鍜屽垎琛屽垪璁ㄨ錛岀瘡鍔犲嵆鍙?

銆愪緥10銆戞湁2n涓漢鍙傚姞鏀跺彂鐢墊姤鍩硅錛屾瘡涓や漢緇撲負涓瀵逛簰鍙戜簰鏀訛紝鏈夊灝戠涓嶅悓鐨勭粨瀵規柟寮?(鎼厤闂)

瑙?(2n-1)(2n-3)...3*1=(2n)!/(2^n*n!)
闇瑕佹敞鎰忕殑鏄眰鍜屼嬌鐢ㄧ殑鎬濇兂: 鍏堟眰鍑哄叏閮ㄦ暟鐨勭Н錛岀劧鍚庡幓鎺夐噷闈㈢殑鍋舵暟.涔熸槸涓縐嶉棿鎺ョ殑鏂規硶.

鍥涖佸姞娉曞師鐞?br>
銆愰泦鍚堢殑鍒嗗垝銆?br>鑻ユ妸涓涓泦鍚圔鍒嗘垚涓浜涘瓙闆咮1,B2,...,Bk錛屼嬌寰?br>(i)B1∪B2∪...∪Bk = B;
(ii)B1∩B2=∅ ,...錛孊k-1∩Bk=∅.

婊¤凍榪欎袱鏉℃ц川鐨勫瓙闆咮1,B2,...,Bk錛屽彨鍋欱鐨勪竴涓垎鍒?

銆愬畾涔夈?span style="BACKGROUND-COLOR: #c0c0c0"> |B|=|B1|+|B2|+...+|Bk| 鍔犳硶鍏紡
榪欑閫氳繃鍒嗗垝璁℃暟鐨勫師鐞嗗彨鍋氬姞娉曞師鐞?

銆愪緥1銆戠幇鏈夐暱搴﹀垎鍒負1,2,...,n鐨勭粏鏈ㄦ鍚勪竴鏍癸紝鍙互浠ュ畠浠負杈規瀯鎴愬灝戠涓嶅悓鐨勪笁瑙掑艦?

瑙?浠鐨勯暱搴﹀榪欎簺涓夎褰㈠垎綾伙紝灝哻=k鐨勪笁瑙掑艦闆嗗悎璁板仛Bk錛屽垯鏋勬垚浜嗛泦鍚圔鐨勪竴涓垎鍒?
鍦˙k涓紝涓夎褰笁杈瑰垎鍒負a<b<k錛屽叾涓璳涓哄畾鍊鹼紝浜庢槸鍙皢(a,b)瀵瑰簲浜庡鉤闈腑鐨勬牸鐐?閫氳繃闄愬埗鏉′歡a<k,b<k,a+b>k鎴戜滑鍙互鐭ラ亾錛岀鍚堟潯浠剁殑鏍肩偣鍦╝=b,a+b=k,b=k涓夋潯鐩寸嚎鍥存垚鐨勪笁瑙掑艦鍐?/span>,
鎵浠ヨ嫢k涓哄伓鏁幫紝鏈墊Bk|=1/4*(k-2)^2
鑻涓哄鏁幫紝鏈墊Bk|=1/4(k-1)(k-3)
浠庤屽彲浠ユ眰寰梶B|.(浜岄樁絳夊樊鏁板垪姹傚拰涓嶇啛)

銆愪緥2銆戞眰鏂圭▼x^2-[x]^2=(x-x[x])^2鍦ㄥ尯闂碵1,n]涓牴鐨勬暟鐩?

瑙?灝嗗尯闂碵k,k+1)涓牴鐨勯泦鍚堣鍋欱k.
鑻∈[k,k+1)錛岃k=[x],p=x-[x](0<=p<1)錛屽彲寰?kp=[2kp+p^2].
鏄劇劧絳夊紡涓よ竟涓烘暣鏁幫紝鎵浠=0,1/2k,...,2k-1/2k錛屾晠鑰寍Bk|=2k銆?br>鐢卞姞娉曞師鐞嗗彲鐭ワ紝|B|=n^2-n+1

浜斻佸甫闄愬埗鏉′歡鐨勬帓鍒楅棶棰?br>
(i) 闂存帴鏂規硶
銆愭帓闄ゆ硶銆戝厛鍋囧畾涓嶅瓨鍦ㄩ檺鍒舵潯浠訛紝姹傚嚭鎵鏈夋儏鍐電殑鏁扮洰錛涘啀鑰冭檻鍙楀埌闄愬埗鏉′歡錛岃屼笉鍏佽鍑虹幇鐨勬儏鍐墊暟鐩?

(ii) 鐩存帴鏂規硶
銆愪紭闄愭硶銆戜紭鍏堣В鍐沖彈闄愬璞?鍙楅檺瀵硅薄鎴栧彈闄愬厓绱?鐨勫畨緗紝鐒跺悗鍐嶈冭檻涓鑸璞$殑瀹夌疆闂.

銆愭彃鍏ユ硶銆戦鍏堝畨鎺掍竴鑸厓绱狅紝鐒跺悗灝嗛鍏堝厓绱犳彃鍏ュ埌鍏佽鐨勪綅緗笂.(鏌愪簺鍏冪礌鐩擱偦鎴栬呬笉鐩擱偦)

銆愯涓娉曘戦鍏堣鎶婅姹傜浉閭繪帓鍒楃殑鍏冪礌鐪嬫垚涓涓暣浣擄紝鍚屽叾浠栧厓绱犱竴鍚屾帓鍒楋紝鐒跺悗鍐嶈冭檻榪欎釜鏁翠綋鍐呴儴鐨勫厓绱犻棿鐨勬帓鍒楅棶棰?

銆愪緥8銆?0涓妭鐩腑鏈?涓紨鍞憋紝4涓垶韞堬紝瑕佹眰姣忎袱涓垶韞堜箣闂磋嚦灝戝畨鎺掍竴涓紨鍞?

瑙?鍙嶈繃鏉ョ湅闂錛屽師鍛介絳変環浜庡湪浠繪剰涓ゆ紨鍞?杈圭晫鎯呭喌鐨勮瘽涓涓?涓畨鎺掓垨涓嶅畨鎺掍竴涓垶韞堬紝鑰岃繖鏍風殑鍙兘浣嶇疆鍏?涓?鎵浠ュ叡6!*P(7,4)縐嶉『搴?

鍏佺粍鍚?br>
銆愬畾涔夈戜粠n涓笉鍚岀墿浠朵腑鏃犳搴忓湴(涓嶈欏哄簭鍦?閫夊彇k涓紝鍙仛浠巒涓墿浠朵腑閫塳涓殑涓涓粍鍚?
濡傛灉鑰冭檻k涓墿浠剁殑閫夊彇欏哄簭錛屽彲寰桺(n,k)=C(n,k)*k!
浠庤屽緱鍒扮粍鍚堢殑璁$畻鍏紡C(n,k)=n!/k!(n-k)!

(i)C(n,n-k)=C(n,k)
(ii)C(n,k)+C(n,k-1)=C(n+1,k)

]]>
NOIP 2001 鏈澶у叕綰︽暟鍜屾渶灝忓叕鍊嶆暟闂http://m.shnenglu.com/Climber-pI/archive/2010/09/11/126425.htmlClimber.pIClimber.pISat, 11 Sep 2010 14:10:00 GMThttp://m.shnenglu.com/Climber-pI/archive/2010/09/11/126425.htmlhttp://m.shnenglu.com/Climber-pI/comments/126425.htmlhttp://m.shnenglu.com/Climber-pI/archive/2010/09/11/126425.html#Feedback0http://m.shnenglu.com/Climber-pI/comments/commentRss/126425.htmlhttp://m.shnenglu.com/Climber-pI/services/trackbacks/126425.html

寰堟湁瓚g殑涓涓暟瀛﹂棶棰橈紝榪欎竴鍛ㄧ湅瀹屻婅儗鍖呬節璁層嬪悗錛屽氨寮濮嬬湅CCF鍑虹殑NOIP2001-2003鐨勯瑙?涔嬪墠璁や負寰堟按鐨勯鐩殑鏈浼樼畻娉曠浉褰撶簿濡欙紝榪欒繘涓姝ヨ璇佷簡浠呬粎AC鏄笉澶熺殑錛岃繕闇瑕佽繘涓姝ョ爺絀剁畻娉?

棰樻剰鐣?闇瑕佹敞鎰忕殑鏄紝棰樼洰浠呬粎闇瑕佹眰鍑虹鍚堟潯浠剁殑鏁板鐨勪釜鏁幫紝鑰岄潪絳旀.
鍥犺岋紝鎴戜滑鍙互鍒╃敤涓浜涙暟瀛﹀垎鏋愬緱鍒頒竴涓潪甯哥畝媧佺殑緇撹錛?br>浠0,y0鍒嗗埆涓烘渶澶у叕綰︽暟鍜屾渶澶у叕鍊嶆暟鐨勬暟瀵逛釜鏁頒負2^n錛宯鏄痽0/x0鐨勪笉鍚岃川鍥犲瓙涓暟.

 

 1#include<stdio.h>
 2int main()
 3{
 4  int x0, y0, x, i = 2, k = 0;
 5  scanf(“%d%d”, &x0, &y0);
 6  if (y0 % x0 != 0{printf(“0\n”); return 0;}
 7  x = y0 / x0;
 8  while (x != 1)
 9  {
10    while (x % i != 0) i++; k++;
11    while (x % i == 0) x /= i;
12  }

13  printf(“%d\n”, 1<<(k));
14}


]]>
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