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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.
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.