Yn = y1 y2 y3 ... yn
1. 鏈闀垮叕鍏卞瓙搴忓垪(涓嶅繀榪炵畫)
瀹氫箟f(m, n)涓篨m鍜孻n涔嬮棿鏈闀跨殑瀛愬簭鍒楃殑闀垮害
浜庢槸鏈塮(m, 0) = f(0, m) = 0
濡傛灉xm != yn, 鍒檉(m, n) = max{ f(m-1, n), f(m, n-1) }
濡傛灉xm = yn錛屽垯f(m, n) = f(m-1, n-1) + 1
闂褰掔粨浜庢眰f(m, n)銆備緷鐓у叕寮忕敤Bottom-up DP鍙В銆?/p>
2. 鏈闀胯繛緇瓙瀛楃涓?蹇呴』鏄繛緇殑)
瀹氫箟f(m, n)涓篨m鍜孻n涔嬮棿鏈闀跨殑瀛愬瓧絎︿覆鐨勯暱搴﹀茍涓旇瀛愬瓧絎︿覆緇撴潫浜嶺m & Yn銆傚洜涓鴻姹傛槸榪炵畫鐨勶紝鎵浠ュ畾涔塮鐨勬椂鍊欏浜嗕竴涓姹傚瓧絎︿覆緇撴潫浜嶺m & Yn
浜庢槸鏈塮(m, 0) = f(0, m) = 0
濡傛灉xm != yn, 鍒檉(m, n) = 0
濡傛灉xm = yn, 鍒檉(m, n) = f(m-1, n-1) + 1
鍥犱負(fù)鏈闀垮瓧絎︿覆涓嶄竴瀹氱粨鏉熶簬Xm / Yn鏈熬錛屾墍浠ヨ繖閲屽繀欏繪眰寰楁墍鏈夊彲鑳界殑f(p, q) | 0 < p < m, 0 < q < n, 鏈澶х殑f(p, q)灝辨槸瑙ｃ備緷鐓у叕寮忕敤Bottom-up DP鍙В銆?/p>
杞澆鑷細http://blog.csdn.net/atfield/archive/2007/01/28/1496132.aspx
鎴戠殑琛ュ厖錛氭渶闀胯繛緇瓙瀛楃涓查棶棰樹笌鏈澶у瓙孌靛拰闂鏈夌偣綾諱技銆?/p>
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