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504,505,504,471,439,473,505,473,504,441,472,439,504,503,439,505,472,503,471,504,471,505,439,441,473,505,505,471,503,471,471,440,473,441,503,439,440,504,473,505,441,440,471,471,440,503,441,472,439,441,440,441,441,471,439,503,473,440,505,473,504,473,505,471,439,471,439,473,473,505,440,439,439,441,504,504,439,505,441,503,472,441,471,473,440,471,472,441,505,505,473,503,504,505,441,441,441,439,473,473,
504,504,473,503,471,505,440,473,471,471,505,473,504,440,504,472,441,439,473,505,473,440,503,439,505,473,503,504,505,505,472,473,472,441,473,503,440,439,473,473,503,504,503,439,473,472,504,503,471,441,440,440,505,505,504,439,473,505,504,441,504,441,505,471,472,439,503,441,504,473,472,440,472,472,504,472,472,439,472,473,504,472,505,472,440,504,441,439,441,503,472,439,441,441,505,471,439,441,439,441,
472,441,505,440,441,471,471,439,440,505,439,471,505,473,471,503,439,503,505,441,471,472,505,503,441,504,441,441,503,472,505,439,503,440,439,473,473,504,472,503,472,439,504,440,505,439,440,441,505,441,472,471,472,472,473,503,503,441,440,441,473,472,505,441,505,441,440,473,471,471,505,439,472,439,471,440,504,505,441,505,473,441,505,505,471,440,504,440,440,503,471,440,505,505,472,439,472,473,441,441,
471,472,472,441,471,503,505,439,505,473,472,473,439,472,503,505,503,473,472,505,473,473,503,471,472,439,439,441,471,504,472,439,472,472,472,440,440,473,472,472,439,441,472,439,471,504,440,439,441,440,439,471,440,439,472,505,440,505,439,505,439,439,440,471,439,471,472,473,473,504,473,473,439,473,473,439,441,472,439,505,503,504,505,505,504,472,472,472,441,504,472,505,439,439,503,473,440,473,439,439,
471,472,503,441,503,473,472,472,472,504,471,440,440,472,505,504,504,472,441,441,503,503,440,472,471,504,505,473,503,441,471,504,505,505,504,439,504,472,473,472,472,504,472,504,473,439,504,473,505,472,471,472,503,441,504,439,441,440,504,472,472,439,504,505,439,471,441,503,504,473,471,471,439,439,473,472,472,503,440,473,503,503,441,471,472,440,504,439,505,504,471,440,441,441,441,471,503,473,441,441,
504,503,505,441,439,472,441,471,440,473,472,441,505,439,439,471,440,471,505,503,440,472,472,503,440,473,503,440,441,503,439,504,439,473,472,472,505,505,473,439,439,440,439,440,473,440,440,504,472,472,440,505,473,440,504,441,439,473,504,504,503,503,504,505,473,473,505,473,440,504,441,505,471,441,472,441,440,505,504,439,505,440,473,503,473,439,441,473,504,441,473,439,503,473,503,473,471,441,473,471,
439,441,440,439,504,503,440,504,471,505,439,439,473,503,473,471,505,504,503,440,473,504,440,472,504,503,473,440,503,471,471,503,504,505,473,471,440,439,503,441,439,471,504,440,441,439,471,473,504,472,503,472,505,471,472,439,473,439,505,505,504,505,503,472,504,471,472,504,471,503,473,505,473,441,472,440,505,440,471,471,503,473,471,503,439,441,440,504,504,503,473,440,471,440,440,504,503,503,441,440,
472,472,473,503,440,439,439,472,504,439,439,471,439,440,472,505,471,471,505,473,471,440,503,441,472,504,439,471,473,503,439,441,472,471,439,504,440,439,441,441,440,472,473,505,473,439,505,471,440,440,503,440,503,441,471,473,504,472,505,505,505,471,440,505,440,472,471,441,439,471,440,505,503,440,503,473,504,440,503,473,473,505,441,503,472,439,504,503,471,471,471,471,441,441,471,441,440,441,503,471,
473,440,441,504,439,472,471,503,472,441,505,505,504,441,471,471,472,504,439,472,473,473,505,440,503,441,503,503,473,440,439,471,472,503,473,440,503,441,504,439,503,503,472,503,440,471,471,503,441,503,439,473,441,439,440,471,472,472,439,503,473,472,439,473,440,472,440,504,471,441,505,504,439,503,473,472,439,439,441,471,440,471,440,472,471,439,440,503,439,472,439,441,471,505,471,473,505,503,471,503,
439,439,441,471,472,440,471,505,504,504,441,472,473,441,471,504,505,441,440,504,440,503,439,504,439,440,503,473,504,473,504,439,505,471,503,441,471,505,504,472,472,440,440,472,471,504,505,441,473,505,472,441,473,472,505,439,440,504,472,439,503,505,471,439,440,504,472,503,441,503,471,473,503,473,440,439,471,440,441,441,504,441,471,440,472,439,505,503,472,472,472,440,472,504,505,472,503,504,504,505,
441,441,472,439,441,471,473,471,440,505,505,471,503,473,441,505,505,503,471,441,471,473,440,439,503,441,471,505,439,439,440,504,504,440,505,473,472,503,472,504,503,504,473,441,505,505,471,505,473,503,503,503,505,503,471,505,472,472,473,471,439,473,441,505,504,503,473,503,504,503,471,471,473,471,504,505,441,473,439,441,503,440,441,472,503,472,473,504,471,439,473,472,472,472,505,505,472,503,505,440,
505,503,441,471,441,439,473,472,471,503,472,504,473,441,503,504,440,473,472,441,439,439,439,471,504,473,504,472,472,505,505,471,505,441,471,439,503,439,441,504,504,440,505,472,473,503,471,503,503,504,503,504,504,440,503,440,471,505,472,505,440,440,504,504,473,439,473,472,471,441,504,471,473,504,473,503,439,503,503,503,473,504,440,473,440,505,471,441,505,503,471,473,472,503,505,473,441,471,471,472,
439,473,505,503,441,440,439,472,503,440,439,439,503,503,503,473,440,439,505,440,473,439,473,505,441,472,473,472,505,439,440,441,504,473,441,440,504,471,504,472,504,472,440,505,439,472,505,472,472,472,439,503,439,472,441,503,472,504,440,503,505,439,505,439,503,439,439,441,439,471,504,504,472,504,503,441,441,473,503,472,441,441,504,471,440,504,439,504,472,471,503,505,473,503,473,441,440,439,472,505,
505,439,441,473,505,473,440,504,505,472,440,504,441,472,441,441,471,503,440,440,471,441,473,472,504,503,472,503,440,503,503,441,439,504,503,505,439,441,441,440,504,441,473,472,440,504,439,439,503,439,505,504,440,471,472,441,471,439,440,440,473,473,471,471,503,439,503,471,504,473,440,472,471,473,439,472,503,504,441,441,440,503,473,472,439,440,439,441,472,505,504,505,503,504,472,503,471,472,473,503,
471,472,440,471,472,503,473,440,439,472,473,473,503,473,505,440,471,505,503,471,441,471,505,472,503,473,440,439,441,439,440,504,473,441,439,440,440,439,472,505,472,471,440,439,471,439,471,472,440,472,505,504,504,505,504,472,439,505,503,440,503,505,439,439,504,440,504,473,441,441,439,441,440,439,473,471,471,439,441,504,439,503,505,440,504,439,440,439,471,472,439,439,504,504,472,441,503,441,473,439,
439,505,472,505,440,472,503,473,472,472,503,441,440,505,440,503,504,472,503,503,441,503,503,505,440,473,504,471,472,441,439,441,439,505,505,440,472,441,439,504,440,505,440,473,441,505,505,440,504,504,503,505,472,505,439,472,471,439,473,473,471,473,440,472,503,441,471,505,473,472,441,471,472,472,439,503,505,473,440,440,472,440,440,504,439,471,472,504,471,471,440,472,504,439,439,505,473,473,440,439,
504,505,472,441,503,504,440,471,472,441,473,441,441,505,472,441,441,473,473,473,504,505,503,440,441,505,471,504,505,472,440,441,503,472,505,471,503,504,471,473,441,503,503,441,503,439,473,440,471,504,503,439,473,440,471,504,440,503,473,439,504,505,505,439,504,440,473,503,471,503,440,471,504,504,505,471,472,471,471,473,439,440,439,441,471,439,504,504,471,505,441,472,503,505,439,472,439,505,504,473,
505,441,472,441,440,439,473,505,505,441,503,440,472,473,504,472,473,440,440,471,504,505,505,441,473,471,503,441,440,441,441,471,503,441,440,472,471,471,441,440,441,505,503,504,440,472,505,505,439,472,471,473,504,503,441,439,504,472,473,505,441,471,503,505,439,439,503,503,472,505,473,440,471,472,472,505,472,505,473,441,440,440,504,471,503,504,473,472,441,505,505,471,503,504,505,441,471,439,472,439,
439,440,472,503,473,505,505,440,471,504,441,505,439,473,473,439,503,504,472,471,440,504,471,441,471,440,471,471,473,439,471,504,471,505,471,505,471,472,441,441,472,473,471,471,439,505,505,440,440,439,441,471,505,440,440,439,441,441,439,440,440,504,504,505,503,471,504,441,504,473,473,503,503,504,439,473,439,504,441,505,473,504,441,441,440,471,504,439,503,440,441,441,441,440,505,439,441,503,505,505,
504,439,504,439,471,504,503,503,473,473,505,471,503,472,471,440,473,504,471,505,505,471,503,472,504,472,473,440,471,472,471,472,471,473,439,505,472,439,472,473,472,440,439,472,503,473,505,505,505,472,440,472,473,503,439,471,439,504,472,472,504,473,503,471,505,505,505,471,441,439,439,503,472,471,505,471,440,471,439,503,472,503,504,504,441,472,439,471,440,471,439,440,472,440,441,439,503,439,440,504,
472,503,441,439,505,503,473,505,440,505,473,503,505,440,471,503,472,440,441,440,472,439,439,439,440,505,503,504,472,439,439,505,473,440,472,472,441,439,504,439,440,472,440,504,471,503,503,503,440,473,440,503,472,504,473,505,472,441,503,441,505,504,471,441,504,505,471,472,439,473,472,441,473,472,471,440,473,505,441,440,441,503,439,504,471,439,471,439,504,472,472,505,441,473,441,471,471,503,440,503,
472,473,473,503,472,472,505,503,505,503,471,471,441,473,471,472,441,439,471,505,440,505,472,439,473,441,471,473,471,440,471,439,473,505,439,440,441,504,503,472,504,441,471,440,441,439,440,503,472,473,471,441,440,441,504,440,473,472,472,439,439,504,473,439,471,441,439,503,439,473,471,504,471,503,439,439,440,441,504,503,504,504,472,505,439,504,505,440,439,505,440,440,440,440,503,472,504,471,440,471,
503,441,504,505,505,505,472,503,472,505,472,504,504,504,441,505,504,439,440,471,440,472,472,504,440,471,473,504,439,503,439,440,439,471,504,440,505,472,439,441,441,472,473,504,472,504,503,441,471,503,439,504,440,473,440,440,505,504,504,441,473,441,505,503,472,471,504,440,505,441,471,441,441,440,471,503,505,473,472,505,472,503,503,503,471,472,504,473,439,504,439,471,440,473,505,472,505,471,473,471,
503,472,440,441,505,471,439,505,503,505,441,504,441,471,473,505,441,440,471,440,503,471,472,505,472,441,441,503,441,504,439,473,504,473,503,441,471,472,440,439,441,473,504,439,441,504,473,505,471,440,439,439,471,505,473,441,439,504,472,503,505,472,503,471,505,503,441,472,472,441,504,439,471,503,441,504,471,503,503,472,471,471,440,440,441,472,472,504,439,503,505,505,471,503,471,505,505,471,439,504,
440,503,503,472,503,441,473,505,473,505,440,505,504,471,472,471,505,504,505,472,472,473,439,439,504,439,440,472,503,473,440,505,473,505,471,471,473,471,472,504,472,441,471,504,439,503,503,440,504,440,440,504,504,504,440,441,440,504,503,504,472,505,472,441,472,472,473,440,504,503,503,441,439,504,504,503,439,471,473,504,505,472,440,472,473,473,504,505,471,472,504,473,441,471,439,440,473,472,471,503,
473,441,440,472,441,441,439,441,504,472,473,504,471,473,439,504,472,441,471,503,473,441,440,440,504,473,440,441,504,503,504,505,503,441,440,441,505,503,503,472,504,505,505,471,441,503,441,472,505,441,503,473,504,440,473,472,504,440,471,473,441,505,472,472,503,441,505,504,473,504,472,504,473,440,504,504,503,473,440,503,440,472,505,471,440,503,503,440,504,505,503,439,504,471,503,472,440,473,503,473,
473,503,471,472,473,503,441,473,440,504,472,503,471,503,439,503,439,472,505,505,504,471,440,471,504,440,473,440,472,441,473,440,473,473,473,505,471,503,472,472,471,505,473,471,504,440,441,504,505,439,473,439,503,440,505,440,504,504,503,472,503,472,439,504,471,472,441,503,439,440,439,471,471,439,472,504,440,504,504,440,472,473,504,505,441,471,440,505,504,505,505,505,441,439,504,505,440,505,471,440,
505,505,504,439,504,439,504,441,472,473,471,473,439,473,440,439,472,441,472,439,504,471,504,473,504,440,503,472,439,473,473,440,503,504,441,472,440,504,440,440,440,505,505,505,473,473,473,503,505,503,473,471,472,472,505,439,472,471,504,505,472,503,439,439,440,471,503,440,473,441,473,473,471,503,439,473,441,440,472,504,473,440,505,441,441,472,473,439,503,441,504,504,505,440,472,505,472,505,440,440,
504,439,473,505,471,473,505,473,440,440,504,503,472,471,471,440,503,472,503,471,505,503,439,473,471,503,504,441,473,473,504,439,441,505,441,473,473,473,441,473,472,504,472,473,439,505,473,471,473,471,441,440,471,440,472,472,504,472,441,503,440,440,504,440,504,504,439,440,503,503,505,441,503,471,441,439,439,503,473,471,504,473,504,503,471,473,472,439,505,503,505,503,503,505,441,473,504,473,439,471,
505,440,439,440,504,439,440,473,504,472,504,473,472,441,473,504,441,471,505,439,439,472,441,504,471,439,503,505,439,503,503,440,440,472,441,440,473,471,471,473,473,503,440,472,441,472,472,441,471,441,473,439,439,504,503,505,440,503,441,471,473,504,440,439,441,505,473,505,439,473,503,471,503,439,441,473,439,472,441,471,472,503,472,504,441,473,471,472,473,472,439,471,504,503,505,441,471,473,504,439,
473,503,441,504,473,472,503,471,472,504,440,439,440,441,504,503,440,473,471,439,439,472,505,503,505,441,472,503,503,505,471,439,441,471,471,440,504,473,439,473,504,504,504,472,471,440,505,472,503,472,503,505,504,439,503,503,504,473,503,505,503,471,503,473,440,505,441,505,472,439,505,472,441,441,504,505,504,440,505,441,504,439,472,473,504,441,440,441,440,503,504,471,439,471,471,441,472,505,473,439,
439,473,441,505,504,503,441,505,505,504,503,440,505,471,471,505,441,471,441,440,439,471,473,473,471,503,505,503,472,471,471,440,439,471,505,505,473,471,503,472,505,441,439,503,473,503,505,471,473,440,473,473,504,439,503,441,439,472,471,473,441,441,473,473,441,472,473,505,471,504,472,471,473,505,440,439,440,503,441,472,504,441,505,439,439,472,439,472,440,505,441,473,440,439,504,504,503,439,471,471,
471,472,472,504,472,472,441,473,504,441,471,503,504,471,505,439,472,472,473,505,441,439,473,439,504,504,505,504,473,504,504,439,472,441,472,473,503,441,472,504,441,472,441,503,504,472,504,472,472,440,441,472,504,471,503,504,504,503,473,504,473,505,505,473,441,441,504,473,439,472,440,504,441,440,471,471,505,504,473,473,439,472,440,504,471,503,473,503,441,472,471,504,441,440,471,471,505,473,439,440,
471,472,440,473,440,441,471,504,503,503,503,472,473,471,473,441,505,439,441,503,471,473,441,441,505,472,439,439,473,473,440,503,473,441,439,504,473,473,439,441,503,472,440,504,504,471,439,440,473,472,505,473,504,504,504,504,503,473,471,440,472,503,471,471,504,471,505,439,471,473,504,472,471,441,504,439,472,471,504,473,471,505,439,472,440,439,471,504,471,504,439,439,471,503,473,473,473,472,440,504,
473,503,440,504,504,440,473,504,503,472,472,472,471,503,503,441,505,472,504,473,505,472,505,441,471,471,471,504,503,439,473,504,439,472,472,441,473,441,504,504,440,440,504,505,504,440,439,441,472,440,471,505,441,504,504,440,439,471,471,471,440,503,441,505,471,439,503,440,472,440,441,440,439,473,505,503,504,503,505,440,503,505,504,504,503,504,504,504,441,472,503,473,472,441,505,439,503,440,503,473,
472,503,440,441,503,440,471,473,505,441,441,504,503,439,504,440,440,472,473,505,439,472,440,503,505,471,471,439,503,471,440,504,503,471,473,503,471,471,440,440,503,440,441,505,441,439,439,503,473,473,440,439,471,504,439,471,440,503,504,471,439,439,472,471,473,472,471,471,439,505,505,439,471,439,471,440,472,441,471,471,439,473,472,441,440,471,472,472,505,471,503,439,503,472,505,471,439,440,440,503,
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