Sicily 3703. Huffman Coding V1
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Huffman树……自己查了下资料才知道具体是怎么弄出来的,基本步骤是:
1.在节点集合中找出权值最小的两个节点,小者居左大者居右,并从集合中删除;
2.将上面找到的两个节点合二为一(权值),添加到节点集合;
3.重复上述步骤直到只剩下一个节点,此节点即为根节点;
4.查找某一个节点的编码时,从根节点出发,往左是0,往右是1,直到找到这个节点(必为叶子),整个历程就是这个节点的编码。
其实Huffman树并不是唯一的,因为若两个节点的权值相等时,左右子树并不确定。这道题中没有说明这种情况如何处理,因为数据并不会出现这样的情况(已测试),大家爱怎么处理就怎么处理。
Run Time: 0sec
Run Memory: 312KB
Code length: 1627Bytes
Submit Time: 2012-01-05 01:13:13
// Problem#: 3703// Submission#: 1174156// The source code is licensed under Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported License// URI: http://creativecommons.org/licenses/by-nc-sa/3.0/// All Copyright reserved by Informatic Lab of Sun Yat-sen University#include <iostream>#include <vector>#include <string>using namespace std;struct Node { string s; int weight; Node( string code, int n ) { s = code; weight = n; }};vector<Node> v;vector<Node>::iterator it;void encode( string s, int n ) { for ( it = v.begin(); it != v.end(); it++ ) { if ( n >= it->weight ) break; } v.insert( it, Node( s, n ) );}int main(){ int n; int i; int keep; char c; string s, left, right; int freq[ 26 ] = { }; string code[ 26 ] = { }; cin >> n; while ( n-- ) { cin >> c; freq[ c - 'A' ]++; } for ( i = 0; i < 26; i++ ) { if ( freq[ i ] != 0 ) { s = 'A' + i; encode( s, freq[ i ] ); } } while ( v.size() != 1 ) { left = v.back().s; for ( i = 0; i < left.size(); i++ ) code[ left[ i ] - 'A' ] = '0' + code[ left[ i ] - 'A' ]; keep = v.back().weight; v.pop_back(); right = v.back().s; for ( i = 0; i < right.size(); i++ ) code[ right[ i ] - 'A' ] = '1' + code[ right[ i ] - 'A' ]; keep += v.back().weight; v.pop_back(); encode( left + right, keep ); } while ( true ) { keep = 0; for ( i = 1; i < 26; i++ ) { if ( freq[ i ] > freq[ keep ] ) keep = i; } if ( freq[ keep ] != 0 ) { cout << (char)('A' + keep) << " " << freq[ keep ] << " " << code[ keep ] << endl; freq[ keep ] = 0; } else break; } return 0;}
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