HBC51079RedandBlueandGreen,思维233 Matrix题解

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In our daily life we often use 233 to express our feelings. Actually, we may say 2333, 23333, or 233333 ... in the same meaning. And here is the question: Suppose we have a matrix called 233 matrix. In the first line, it would be 233, 2333, 23333... Besides, in 233 matrix, we got ai,j=ai1,j+ai,j1a_{i,j} = a_{i-1,j} +a_{i,j-1}ai,j=ai1,j+ai,j1. Now you have known a1,0,a2,0,...,an,0, could you tell me an,m in the 233 matrix?

In our daily life we often use 233 to express our feelings. Actually, we may say 2333, 23333, or 233333 ... in the same meaning. And here is the question: Suppose we have a matrix called 233 matrix. In the first line, it would be 233, 2333, 23333... (it means a0,1=233,a0,2=2333,a0,3=23333...a_{0,1} = 233,a_{0,2} = 2333,a_{0,3} = 23333...a0,1​=233,a0,2​=2333,a0,3​=23333...) Besides, in 233 matrix, we got ai,j=ai−1,j+ai,j−1a_{i,j} = a_{i-1,j} +a_{i,j-1}ai,j​=ai−1,j​+ai,j−1​(i,j≠0)( i,j not= 0)(i,j​=0). Now you have known a1,0,a2,0,...,an,0, could you tell me an,m in the 233 matrix?

HBC51079RedandBlueandGreen,思维233 Matrix题解
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