搴忓垪鍚堝苟
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鏍囩锛?a href='http://www.mamicode.com/so/1/%e7%ac%ac%e4%b8%80%e4%b8%aa' title='绗竴涓?>绗竴涓?/a> heap 搴忓垪 list radius color return 鏁板瓧 -o
棰樼洰鎻忚堪 鏈変袱涓暱搴﹂兘鏄疦鐨勫簭鍒桝鍜孊锛屽湪A鍜孊涓悇鍙栦竴涓暟鐩稿姞鍙互寰楀埌N^2N2涓拰锛屾眰杩?span class="katex">N^2N2涓拰涓渶灏忕殑N涓€?/span>
杈撳叆杈撳嚭鏍煎紡
杈撳叆鏍煎紡锛?/span>
绗竴琛屼竴涓鏁存暟N锛?/span>
绗簩琛孨涓暣鏁?span class="katex">A_iAi?, 婊¤冻A_ile A_{i+1}Ai?≤Ai+1?涓?span class="katex">A_ile 10^9Ai?≤109;
绗笁琛孨涓暣鏁?span class="katex">B_iBi?, 婊¤冻B_ile B_{i+1}Bi?≤Bi+1?涓?span class="katex">B_ile 10^9Bi?≤109.
銆愭暟鎹妯°€?/span>
瀵逛簬50%鐨勬暟鎹腑锛屾弧瓒?<=N<=1000锛?/span>
瀵逛簬100%鐨勬暟鎹腑锛屾弧瓒?<=N<=100000銆?/span>
杈撳嚭鏍煎紡锛?/span>
杈撳嚭浠呬竴琛岋紝鍖呭惈N涓暣鏁帮紝浠庡皬鍒板ぇ杈撳嚭杩橬涓渶灏忕殑鍜岋紝鐩搁偦鏁板瓧涔嬮棿鐢ㄧ┖鏍奸殧寮€銆?/span>
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杈撳嚭鏍蜂緥#1锛?nbsp;
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寰堟樉鐒舵垜浠湁 a鍜宐涓や釜鏁扮粍 銆傚緢鏄剧劧鎴戜滑瑕佺敤涓€涓?c鏁扮粍瀛樺拰 銆傚緢鏄剧劧瑕佺敤heap鍫嗘帓(瀹為檯涓婃槸鍙敤浜嗗悜涓嬬淮鎶ゆ搷浣?銆?/div>
鎴戜滑鐨刢[ i ][ j ]锛岀敤鏉ュ瓨鍌╝涓i涓暟鍒嗗埆鍜宐涓殑鎵€鏈夋暟鐩稿姞寰楀埌鐨勭粨鏋溿€傚緢鏄剧劧 浼?鐖嗙┖闂达紝鎵€浠ョ瓑涓嬩細鏈変紭鍖栥€?/div>
for (int i = 1;i <= n;i++) for (int j = 1;j <= n;j++) c[i][j] = a[i]+b[j];
渚濋鎰忓緱锛歛鏄湁搴忔暟鍒楋紝b涔熸槸鏈夊簭鏁板垪锛屽垯瀵逛簬浠绘剰c[ i ]涔熶細鏄竴涓湁搴忔暟鍒椼€傞偅涔堟垜浠氨鎶奵[ i ]鐨勭涓€涓暟瀛樺叆heap銆?/div>
for (int i = 1;i <= n;i++)
銆€銆€heap[i] = c[i][j];
鐒跺悗缁存姢涓€涓媓eap
while锛堟病鏈夎緭鍑哄n涓暟锛? { 杈撳嚭锛? 鏀惧叆 鍫嗛《鏁版墍鍦ㄧ殑鏁扮粍鐨勪笅涓€涓暟 缁存姢 }
浼樺寲锛?/p>
棣栧厛鎴戜滑鐭ラ亾锛宧eap[ i ]鍙渶瑕佺敤涓€涓€硷紝閭f垜浠彲涓嶅彲浠ュ湪heap闇€瑕佺殑鏃跺€欏啀鎶奵[ i ][ j ]绠楀嚭鏉ュ憿锛?/div>
鐒跺悗鎴戜滑鍙戠幇 c[ i ][ j ] = a[ i ]+b[ j ]涓璱鐩稿綋浜庣洰鍓嶅椤舵暟鎵€鍦ㄧ殑鏁扮粍锛宩灏辫〃绀轰笅涓€涓暟鐨勪笅鏍囥€?/div>
浜庢槸浼樺寲灏卞嚭鏉ヤ簡銆?/div>
for (int i = 1;i <= n;i++) heap[i] = a[i]+b[1] …… int t = from[1]; step[t]++; heap[1]=a[t] + b[ step[t] ];
浠g爜锛?/p>
#include<bits/stdc++.h> using namespace std; int a[100000],b[100000],heap[100000],from[100000],step[100000],n,sum=1; void swap(int x,int y)//鎵嬫墦swap浜ゆ崲锛屽悓鏃朵氦鎹㈡潵婧愭暟缁勩€?/span> { int k = heap[x]; heap[x] = heap[y]; heap[y] = k; k = from[x]; from[x] = from[y]; from[y] = k; } int main() { scanf("%d",&n); for (int i = 1;i <= n;i++) scanf("%d",&a[i]); for (int i = 1;i <= n;i++) scanf("%d",&b[i]); for (int i = 1;i <= n;i++) heap[i] = a[i]+b[1],from[i] = i,step[i] = 1; //杩欎竴姝ュ氨鏄紭鍖栥€傛妸c鍘绘帀浜嗭紝鍙栬€屼唬涔嬬殑鏄幇鍋氱幇鍗栫殑鍚堟垚銆?/span> while (sum <= n) { printf("%d ",heap[1]); int t = from[1]; step[t]++; heap[1]=a[t] + b[ step[t] ];//鐜板仛鐜板崠鐨勫悎鎴愩€?/span> int x = 1,s; while (x<<1 <= n)//缁忓吀鐨勪笅浼?/span> { s = x<<1; if (heap[s] > heap[s + 1] && s + 1 <= n) s++; if (heap[x] > heap[s]) { swap(x,s); x = s; }else break; } sum++; } return 0; }
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