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分解成平方和

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從1到200這些正整數中,可表示成二個不同的非負整數(即包含0)之平方和的數共有  個。
(2008青少年數學國際城市邀請賽初賽)















1234567891011121314
0149162536496481100121144169196
1510172637506582101122145170197
213202940536885104125148173200
3253445587390109130153178205
44152658097116137160185212
5617489106125146169194221
685100117136157180205232
7113130149170193218245
8145164185208233260
9181202225250277
10221244269296
11265290317
12313340
13365


補充一題類似題
How many of the integers between 1 and 1000, inclusive, can be expressed as the difference of the squares of two nonnegative integers?
(1997AIME,http://www.mathlinks.ro/viewtopic.php?p=393578)

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2008青少年數學國際城市邀請賽初賽.rar (375.87 KB)

2009-8-6 21:28, 下載次數: 3246

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