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麻将牌型概率算法

三色同顺(1)平和三同张C(7,1)*C(3,1)*4^6*6^3*(C(25,1)*C(4,2)+C(6,1)+C(3,1)/6)二同张C(6,1)*C(3,1)*C(2,1)*4^8*6^2*(C(24,1)*C(4,2)+C(8,1)+C(2,1)/6) 一同张C(5,1)*C(3,1)*C(2,1)*4^10*6*(C(23,1)*C(4,2)+C(10,1)+1/6)无同张C(10,1)*C(3,1)*C(2,1)*4^12*(C(22,1)*C(4,2)+C(12,1))(2)非平和C(7,1)*4^9*(C(25,1)*C(4,3)*(C(24,1)*C(4,2)+C(9,1))+C(9,1)/4*(C(25,1)C( 4,2)+C(8,1)))花龙(1)平和三同张A(3,3)*C(3,1)*4^6*6^3*(C(25,1)*C(4,2)+C(6,1)+C(3,1)/6)二同张A(3,3)*C(4,1)*4^8*6^2*(C(24,1)*C(4,2)+C(8,1)+C(2,1)/6)一同张A(3,3)*C(4,1)*4^10*6*(C(23,1)*C(4,2)+C(10,1)+1/6)无同张A(3,3)*C(10,1)*4^12*(C(22,1)*C(4,2)+C(12,1))(2)非平和A(3,3)*4^9*(C(25,1)*C(4,3)*(C(24,1)*C(4,2)+C(9,1))+C(9,1)/4*(C(25,1)C( 4,2)+C(8,1)))清龙(1)平和同色C(3,1)*C(7,1)*4^6*6^3*(C(25,1)*C(4,2)+C(6,1)+C(3,1)/6)不同色C(3,1)*C(14,1)*4^12*(C(22,1)*C(4,2)+C(12,1))(2)非平和C(3,1)*4^9*(C(25,1)*C(4,3)*(C(24,1)*C(4,2)+C(9,1))+C(9,1)/4*(C(25,1)C( 4,2)+C(8,1)))一色三步高123345567(1)平和不同色C(3,1)*C(3,1)*C(14,1)*4^8*6^2*(C(24,1)*C(4,2)+C(8,1)+C(2,1)/6) 同色二同张C(3,1)*C(4,1)*4^4*6^4*(C(26,1)*C(4,2)+C(4,1)+C(4,1)/6)同色三同张C(3,1)*C(3,1)*C(2,1)*6^3*4^4*(C(27,1)*C(4,2)+C(3,1)+C(3,1)/6) (1233)45556677C(3,1)*C(3,1)*6*4^6*(C(27,1)*C(4,2)+C(4,1)+1/6) (12)3334455567(2)非平和C(3,1)*C(3,1)*4^5*6^2*(C(27,1)*C(4,3)*(C(26,1)*C(4,2)+C(5,1)+C(2,1)/6 )+C(5,1)/4*(C(27,1)C(4,2)+C(4,1)+C(2,1)/6))一色三步高122333445(1)平和不同色C(3,1)*C(5,1)*C(14,1)*4^6*6^2*(C(26,1)*C(4,2)+C(5,1)+C(2,1)/6) 同色不同张C(3,1)*C(6,1)*4^6*6^2*(C(26,1)*C(4,2)+C(5,1)+C(2,1)/6)同色一同张C(3,1)*C(6,1)*4^4*6^3*(C(27,1)*C(4,2)+C(3,1)+C(3,1)/6)同色三同张C(3,1)*C(5,1)*4^4*(C(29,1)*C(4,2)+C(2,1)) (122233334445)C(3,1)*C(5,1)*C(2,1)*6^2*4^2*(C(29,1)*C(4,2)+1+C(2,1)/6) (112223333445)(2)非平和C(3,1)*C(5,1)*4^3*6^2*(C(29,1)*C(4,3)*(C(28,1)*C(4,2)+C(2,1)+C(2,1)/6 )+C(2,1)/4*(C(29,1)C(4,2)+1+C(2,1)/6))三色三步高(1)平和三同张C(5,1)*A(3,3)*4^6*6^3*(C(25,1)*C(4,2)+C(6,1)+C(3,1)/6)二同张(C(5,1)*A(3,3)*C(3,1)*C(2,1)-C(2,1)*A(3,3))*4^8*6^2*(C(24,1)*C(4,2)+C (8,1)+C(2,1)/6)一同张(C(5,1)*A(3,3)*C(3,1)*C(2,1)-C(4,1)*A(3,3))*4^10*6*(C(23,1)*C(4,2)+C(1 0,1)+1/6)无同张(C(2,1)*C(9,1)+C(2,1)*C(7,1)+C(6,1))*A(3,3)*4^12*(C(22,1)*C(4,2)+C(12 ,1))(2)非平和C(5,1)*A(3,3)*4^9*(C(25,1)*C(4,3)*(C(24,1)*C(4,2)+C(9,1))+C(9,1)/4*(C( 25,1)C(4,2)+C(8,1)))双喜会123456/123456或123789/123789C(5,1)*C(3,2)*4^12*(C(22,1)*C(4,2)+C(12,1))两般高112233/667788无同张(C(21,2)-C(6,1)*C(3,1)-C(5,1)*C(3,1)-C(7,1)*C(3,1))*6^6*(C(28,1)*C(4,2) +C(6,1)/6)一同张C(5,1)*C(3,1)*6^4*(C(29,1)*C(4,2)+C(2,1)/6)二同张C(6,1)*C(3,1)*6^2*C(30,1)*C(4,2)双龙抱112233/112233C(7,1)*C(3,1)*6^6*(C(28,1)*C(4,2)+C(6,1)/6)一色四步高C(3,1)*4^6*6^3*(C(25,1)*C(4,2)+C(6,1)+C(3,1)/6)C(3,1)C(4,1)*4^4*6^2*(C(28,1)*C(4,2)+C(2,1)+C(2,1)/6)一色三同顺(1)平和不同色C(21,1)*C(14,1)*4^6*(C(28,1)*C(4,2)+C(3,1))同色不同张C(3,1)*C(2,1)*C(10,1)*4^6*(C(28,1)*C(4,2)+C(3,1)) 二同张C(6,1)*C(2,1)*4^2*(C(30,1)*C(4,2)+1)一同张C(5,1)*C(2,1)*4^4*(C(29,1)*C(4,2)+C(2,1))(2)非平和C(21,1)*4^3*C(31,1)*C(4,3)*C(30,1)*C(4,2)碰碰和C(34,1)*C(4,2)*C(33,4)*4^4一色三节高(1)碰碰和C(3,1)*C(7,1)*C(31,1)*C(30,1)*4^4*C(4,2)(2)非碰碰和不同色C(3,1)*C(7,1)*C(14,1)*4^6*(C(28,1)*C(4,2)+C(3,1))同色不同张C(3,1)*C(10,1)*C(2,1)*4^6*(C(28,1)*C(4,2)+C(3,1)) 一同张C(3,1)*C(6,1)*C(2,1)*4^4*(C(30,1)*C(4,2)+C(2,1))二同张C(3,1)*C(5,1)*C(2,1)*4^2*(C(29,1)*C(4,2)+1)三色三节高(1)碰碰和C(7,1)*A(3,3)*C(31,1)*C(30,1)*4^4*C(4,2)(2)非碰碰和(C(2,1)*C(6,1)+C(2,1)*C(8,1)+C(3,1)*C(9,1))*A(3,3)*4^4*(C(29,1)*C(4,2) +C(2,1))非四归(C(7,1)*A(3,3)*C(7,1)-(C(2,1)*C(6,1)+C(2,1)*C(8,1)+C(3,1)*C(9,1)))*A(3, 3)*4^6*(C(28,1)*C(4,2)+C(3,1))三同刻(1)碰碰和C(9,1)*C(31,1)*C(30,1)*4^4*C(4,2)(2)非碰碰和四归一(C(2,1)*C(3,1)+C(2,1)*C(6,1)+C(3,1)*C(9,1))*4^4*(C(29,1)*C(4,2)+C(2,1)) 非四归(C(7,1)*C(7,1)-(C(2,1)*C(3,1)+C(2,1)*C(6,1)+C(3,1)*C(9,1)))*4^6*(C(28, 1)*C(4,2)+C(3,1))平和(1)无同张*4^12*(C(22,1)*C(4,2)+C(12,1))3/1/0... C(3,1)*C(14,1)*4^12*(C(22,1)*C(4,2)+C(12,1))2/2/0... C(3,1)*C(10,1)*C(10,1)*4^12*(C(22,1)*C(4,2)+C(12,1))2/1/1... C(3,1)*C(10,1)*C(7,1)*C(7,1)*4^12*(C(22,1)*C(4,2)+C(12,1)) (2)一同张*4^10*6*(C(23,1)*C(4,2)+C(10,1)+1/6)3/1/0... C(3,2)*C(6,1)*C(7,1)*4^10*6*(C(23,1)*C(4,2)+C(10,1)+1/6)2/2/0...C(3,2)*C(2,1)*C(5,1)*C(10,1)*4^10*6*(C(23,1)*C(4,2)+C(10,1)+1/6)2/1/1...C(3,1)*C(5,1)*C(7,1)*C(7,1)*4^10*6*(C(23,1)*C(4,2)+C(10,1)+1/6)(3)二同张*4^8*6^2*(C(24,1)*C(4,2)+C(8,1)+C(2,1)/6)3/1/0...(C(3,2)*C(3,1)*C(7,1)+C(3,2)*C(2,1)*C(6,1)*C(7,1))*4^8*6^2*(C(24,1)*C (4,2)+C(8,1)+C(2,1)/6)2/2/0...C(3,2)*(C(2,1)*C(6,1)*C(7,1)+C(10,1)*C(10,1))*4^8*6^2*(C(24,1)*C(4,2) +C(8,1)+C(2,1)/6)2/1/1...C(3,1)*C(6,1)*C(7,1)*C(7,1)*4^8*6^2*(C(24,1)*C(4,2)+C(8,1)+C(2,1)/6) (4)三同张*4^6*6^3*(C(25,1)*C(4,2)+C(6,1)+C(3,1)/6)(C(3,1)*C(3,1)+C(3,1)*C(7,1))*4^6*6^3*(C(25,1)*C(4,2)+C(6,1)+C(3,1)/6) 3/1/0...C(3,2)*C(7,1)*(C(2,1)*C(6,1)+C(10,1))*4^6*6^3*(C(25,1)*C(4,2)+C(6,1)+C(3,1)/6)2/2/0...C(3,2)*(C(2,1)*C(7,1)*C(10,1)+C(2,1)*C(6,1)*C(5,1))*4^6*6^3*(C(25,1)* C(4,2)+C(6,1)+C(3,1)/6)2/1/1...C(3,1)*C(7,1)*C(7,1)*C(7,1)*4^6*6^3*(C(25,1)*C(4,2)+C(6,1)+C(3,1)/6)断幺(1)断平无同张4^12*(C(9,1)*C(4,2)+C(12,1))2/2/0... C(3,2)*C(3,1)*C(3,1)*4^12*(C(9,1)*C(4,2)+C(12,1))2/2/1... C(3,1)*C(3,1)*C(5,1)*C(5,1)*4^12*(C(9,1)*C(4,2)+C(12,1))一同张4^10*6*(C(10,1)*C(4,2)+C(10,1)+1/6)2/2/0...C(3,2)*C(2,1)*C(3,1)*C(3,1)*4^10*6*(C(10,1)*C(4,2)+C(10,1)+1/6)2/2/1...C(3,1)*C(3,1)*C(5,1)*C(5,1)*4^10*6*(C(10,1)*C(4,2)+C(10,1)+1/6)二同张4^8*6^2*(C(11,1)*C(4,2)+C(8,1)+C(2,1)/6)3/1/0... C(3,1)*C(2,1)*C(5,1)*4^8*6^2*(C(11,1)*C(4,2)+C(8,1)+C(2,1)/6) 2/2/0...(C(2,1)*C(4,1)*C(3,1)+C(3,1)*C(3,1))*C(3,2)*4^8*6^2*(C(11,1)*C(4,2)+C (8,1)+C(2,1)/6)2/2/1...C(3,1)*C(4,1)*C(5,1)*C(5,1)*4^8*6^2*(C(11,1)*C(4,2)+C(8,1)+C(2,1)/6) 三同张4^6*6^3*(C(12,1)*C(4,2)+C(6,1)+C(3,1)/6)3/1/0...C(3,2)*(C(2,1)*C(4,1)+C(2,1))*C(5,1)*4^6*6^3*(C(12,1)*C(4,2)+C(6,1)+C(3,1)/6)2/2/0...C(3,2)*(C(2,1)*C(5,1)*C(5,1)+C(2,1)*C(3,1)*C(4,1))*4^6*6^3*(C(12,1)*C (4,2)+C(6,1)+C(3,1)/6)2/1/1...C(3,1)*C(5,1)*C(5,1)*C(5,1)*4^6*6^3*(C(12,1)*C(4,2)+C(6,1)+C(3,1)/6) (2)断幺一刻子2/1/0...C(3,2)*C(3,1)*C(5,1)*4^9*(C(12,1)*C(4,3)*(C(11,1)*C(4,2)+C(9,1))+C(9,1 )/4*(C(12,1)*C(4,2)+C(8,1)))1/1/1...C(5,1)*C(5,1)*C(5,1)*4^9*(C(12,1)*C(4,3)*(C(11,1)*C(4,2)+C(9,1))+C(9,1 )/4*(C(12,1)*C(4,2)+C(8,1)))一同张2/1/0...C(3,2)*C(3,1)*C(5,1)*4^7*6*(C(13,1)*C(4,3)*(C(12,1)*C(4,2)+C(7,1)+1/6 )+C(7,1)/4*(C(13,1)*C(4,2)+C(6,1)+1/6))二同张3/0/0...C(3,1)*C(3,1)*4^5*6^2*(C(14,1)*C(4,3)*(C(13,1)*C(4,2)+C(5,1)+C(2,1)/6 )+C(5,1)/4*(C(14,1)*C(4,2)+C(4,1)+C(2,1)/6))2/1/0...C(3,2)*C(4,1)*C(5,1)*4^5*6^2*(C(14,1)*C(4,3)*(C(13,1)*C(4,2)+C(5,1)+ C(2,1)/6)+C(5,1)/4*(C(14,1)*C(4,2)+C(4,1)+C(2,1)/6))三同张3/0/0...C(3,1)*(C(2,1)*C(4,1)+C(2,1))*4^3*6^3*(C(15,1)*C(4,3)*(C(14,1)*C(4,2) +C(3,1)+C(3,1)/6)+C(3,1)/4*(C(15,1)*C(4,2)+C(2,1)+C(3,1)/6))2/1/0...C(3,2)*C(5,1)*C(5,1)*4^3*6^3*(C(15,1)*C(4,3)*(C(14,1)*C(4,2)+C(3,1)+ C(3,1)/6)+C(3,1)/4*(C(15,1)*C(4,2)+C(2,1)+C(3,1)/6))(3)断幺二刻子无同张无四归(C(3,1)*C(3,1)+C(3,2)*C(5,1)*C(5,1))*4^6*C(15,2)*4^2*(C(13,1)*C(4,2)+ C(6,1))单四归(C(3,1)*C(3,1)+C(3,2)*C(5,1)*C(5,1))*4^6*C(15,1)*C(6,1)*(C(14,1)*C(4,2 )+C(5,1))忽略双四归一同张无四归C(3,1)*C(3,1)*4^4*6*C(16,2)*4^2*(C(14,1)*C(4,2)+C(4,1)+1/6)单四归C(3,1)*C(3,1)*4^4*6*C(16,1)*C(4,1)*(C(15,1)*C(4,2)+C(3,1)+1/6)忽略双四归二同张无四归C(3,1)*C(4,1)*4^2*6^2*C(17,2)*4^2*(C(15,1)*C(4,2)+C(2,1)+C(2,1)/6)单四归C(3,1)*C(4,1)*4^2*6^2*C(17,1)*C(2,1)*(C(16,1)*C(4,2)+1+C(2,1)/6) 忽略双四归三同张C(15,1)*C(18,2)*4^2*6^3*(C(16,1)*C(4,2)+C(3,1)/6)断幺三刻子C(15,1)*C(18,3)*4^6*(C(15,1)*C(4,2)+C(3,1))忽略四归断幺对对和C(21,1)*C(20,4)*C(4,2)*4^4役牌三顺子3/0/0...C(3,1)*4^9*(C(24,1)*C(4,2)+C(9,1))*C(4,3)C(3,1)*C(6,1)*4^7*6*(C(25,1)*C(4,2)+C(7,1)+1/6)*C(4,3)(C(3,1)*C(2,1)*C(6,1)+C(3,1)*C(3,1))*4^5*6^2*(C(26,1)*C(4,2)+C(5,1)+C(2,1)/6)*C(4,3)C(3,1)*C(3,1)*C(4,1)*4^3*6^3*(C(27,1)*C(4,2)+C(3,1)+C(3,1)/6)*C(4,3)2/1/0...C(3,2)*C(10,1)*C(7,1)*4^9*(C(24,1)*C(4,2)+C(9,1))*C(4,3)C(3,2)*C(5,1)*C(7,1)*4^7*6*(C(25,1)*C(4,2)+C(7,1)+1/6)*C(4,3)C(3,2)*C(6,1)*C(7,1)*4^5*6^2*(C(26,1)*C(4,2)+C(5,1)+C(2,1)/6)*C(4,3) C(3,2)*C(7,1)*C(7,1)*4^3*6^3*(C(27,1)*C(4,2)+C(3,1)+C(3,1)/6)*C(4,3)1/1/1C(7,1)*C(7,1)*C(7,1)*4^9*(C(24,1)*C(4,2)+C(9,1))*C(4,3)两顺子2/0/0C(3,1)*C(10,1)*4^6*(C(27,1)*C(4,3)*(C(26,1)*C(4,2)+C(6,1))+C(6,1)/4*(C(27,1)*C(4,2)+C(5,1)))*C(4,3)C(3,1)*C(5,1)*4^4*6*(C(28,1)*C(4,3)*(C(27,1)*C(4,2)+C(4,1)+1/6)+C(4,1 )/4*(C(28,1)*C(4,2)+C(3,1)+1/6))*C(4,3)C(3,1)*C(6,1)*4^2*6^2*(C(29,1)*C(4,3)*(C(28,1)*C(4,2)+C(2,1)+C(2,1)/6 )+C(2,1)/4*(C(29,1)*C(4,2)+C(2,1)+C(2,1)/6))*C(4,3)C(3,1)*C(7,1)*6^3*C(30,1)*C(4,3)*(C(29,1)*C(4,2)+C(3,1)/6)*C(4,3)1/1/0C(3,2)*C(7,1)*C(7,1)*4^6*(C(27,1)*C(4,3)*(C(26,1)*C(4,2)+C(6,1))+C(6,1 )/4*(C(27,1)*C(4,2)+C(5,1)))*C(4,3)一顺子C(3,1)*C(7,1)*4^3*C(30,2)*C(4,3)*C(4,3)*(C(28,1)*C(4,2)+C(3,1)) 无四归C(3,1)*C(7,1)*4^3*C(30,1)*C(4,3)*C(3,1)*1/4*(C(29,1)*C(4,2)+C(2,1)) 单四归忽略双四归役牌对对和C(5,1)*C(29,3)*C(28,1)*4^4*C(4,2)双役牌对对和(非连风)C(5,2)*C(29,2)*C(28,1)*4^4*C(4,2)。

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