Young tableaus 是 Introduction_to_algorithms的一 道课后习题， 一度还把我难住了，网上也没有找到现存的答案。 现在把 python 代码贴出来，供大家参考。
#! /usr/bin/python
""" young tableau
m x n matrix
"""
import sys
class element():
def __init__(self, x, y):
self.x = x
self.y = y
def min_youngtableau(arry, p, m, n):
minimum = element(p.x, p.y)
if p.y < n and arry[p.x-1][p.y+1-1] < arry[p.x-1][p.y-1]:
minimum.y = p.y + 1
if p.x < m and arry[p.x+1-1][p.y-1] < arry[minimum.x-1][minimum.y-1]:
minimum.x = p.x + 1
minimum.y = p.y
if minimum.x != p.x or minimum.y != p.y:
temp = arry[p.x-1][p.y-1]
arry[p.x-1][p.y-1] = arry[minimum.x-1][minimum.y-1]
arry[minimum.x-1][minimum.y-1] = temp
p = element(minimum.x, minimum.y)
min_youngtableau(arry, p, m, n)
def extract_min(arry, m, n):
temp = arry[1-1][1-1]
arry[1-1][1-1] = 0xffff
p = element(1,1)
min_youngtableau(arry, p, m, n)
return temp
def inseart(arry, v, m, n):
if arry[m-1][n-1] != 0xffff:
print "arrary is full"
return
arry[m-1][n-1] = v
p = element(m, n)
while p.x > 1 or p.y > 1:
maxmum = element(p.x, p.y)
if p.x > 1 and arry[p.x-1-1][p.y-1] > arry[p.x-1][p.y-1]:
maxmum.x = p.x - 1
if p.y > 1 and arry[p.x-1][p.y-1-1] > arry[maxmum.x-1][maxmum.y-1]:
maxmum.x = p.x
maxmum.y = p.y-1
if maxmum.x == p.x and maxmum.y == p.y:
break
temp = arry[p.x-1][p.y-1]
arry[p.x-1][p.y-1] = arry[maxmum.x-1][maxmum.y-1]
arry[maxmum.x-1][maxmum.y-1] = temp
p = element(maxmum.x, maxmum.y)
def build_youngtaleau(arry, m, n):
arry2 = [
[0xffff, 0xffff, 0xffff],
[0xffff, 0xffff, 0xffff],
[0xffff, 0xffff, 0xffff],
[0xffff, 0xffff, 0xffff],
]
for i in range(m):
for j in range(n):
if arry[i][j] != 0xffff:
inseart(arry2, arry[i][j], m, n)
return arry2
def youngtableau_sort(arry, m, n):
arry = build_youngtaleau(arry, m, n)
result = []
for i in range(m):
for j in range(n):
result.append(extract_min(arry, m, n))
print result
if __name__ == ‘__main__‘:
arry = [
[12, 45, 50],
[34, 54, 13],
[77, 88, 99],
[87, 0xffff, 0xffff],
]
youngtableau_sort(arry, 4, 3)
原文地址：http://blog.csdn.net/kartorz/article/details/26748939
