第 32625 題：仿射式的左端有限和

原題與已知條件

全實數論域，以下函數／點均以明示實數模型解讀。f(x)=25x+(12)，區間 [-2,3] 分為 N=50 等份。求左端有限和 ΔΣ f(a+iΔ)，i=0至N−1、Δ=(b−a)/N。

• G001 — 全實數論域，以下函數／點均以明示實數模型解讀。f(x)=25x+(12)，區間 [-2,3] 分為 N=50 等份。求左端有限和 ΔΣ f(a+iΔ)，i=0至N−1、Δ=(b−a)/N。

定義與適用範圍

沿用原題明示的論域、假設與來源 MKO 定義。本題已完成第二對話數理與中英語義覆核，並由原始參數逐題獨立重算模型、答案與每個算術步驟；原題仍為 candidate。

• mko-definite-integral

逐步推導

source roles = [qf-integral-affine-left-sum, affine_left_sum, reals, []]

derived = [[finite_left_sum_fraction_RETAIN1]]

Left sum ORIGINAL upper minus lower endpoint := sub(3, -2)

Left sum ORIGINAL upper minus lower endpoint = 5

Left sum ORIGINAL width over positive cell count := div(5, 50)

Left sum ORIGINAL width over positive cell count = 1/10

Left sum ORIGINAL sample0 index times width := mul(0, 1/10)

Left sum ORIGINAL sample0 index times width = 0

Left sum ORIGINAL sample0 lower plus offset := sum(-2, 0)

Left sum ORIGINAL sample0 lower plus offset = -2

Left sum ORIGINAL sample0 slope times x := mul(25, -2)

Left sum ORIGINAL sample0 slope times x = -50

Left sum ORIGINAL sample0 affine value plus c := sum(-50, 12)

Left sum ORIGINAL sample0 affine value plus c = -38

Left sum ORIGINAL sample0 value times cell width := mul(-38, 1/10)

Left sum ORIGINAL sample0 value times cell width = -19/5

Left sum ORIGINAL accumulated term0 := sum(0, -19/5)

Left sum ORIGINAL accumulated term0 = -19/5

source roles = [0, 50, 25, 12, -2, 3, 1/10]

derived = [-2/1, -38/1, -19/5, -19/5]

Left sum ORIGINAL sample1 index times width := mul(1, 1/10)

Left sum ORIGINAL sample1 index times width = 1/10

Left sum ORIGINAL sample1 lower plus offset := sum(-2, 1/10)

Left sum ORIGINAL sample1 lower plus offset = -19/10

Left sum ORIGINAL sample1 slope times x := mul(25, -19/10)

Left sum ORIGINAL sample1 slope times x = -95/2

Left sum ORIGINAL sample1 affine value plus c := sum(-95/2, 12)

Left sum ORIGINAL sample1 affine value plus c = -71/2

Left sum ORIGINAL sample1 value times cell width := mul(-71/2, 1/10)

Left sum ORIGINAL sample1 value times cell width = -71/20

Left sum ORIGINAL accumulated term1 := sum(-19/5, -71/20)

Left sum ORIGINAL accumulated term1 = -147/20

source roles = [1, 50, 25, 12, -2, 3, 1/10]

derived = [-19/10, -71/2, -71/20, -147/20]

Left sum ORIGINAL sample2 index times width := mul(2, 1/10)

Left sum ORIGINAL sample2 index times width = 1/5

Left sum ORIGINAL sample2 lower plus offset := sum(-2, 1/5)

Left sum ORIGINAL sample2 lower plus offset = -9/5

Left sum ORIGINAL sample2 slope times x := mul(25, -9/5)

Left sum ORIGINAL sample2 slope times x = -45

Left sum ORIGINAL sample2 affine value plus c := sum(-45, 12)

Left sum ORIGINAL sample2 affine value plus c = -33

Left sum ORIGINAL sample2 value times cell width := mul(-33, 1/10)

Left sum ORIGINAL sample2 value times cell width = -33/10

Left sum ORIGINAL accumulated term2 := sum(-147/20, -33/10)

Left sum ORIGINAL accumulated term2 = -213/20

source roles = [2, 50, 25, 12, -2, 3, 1/10]

derived = [-9/5, -33/1, -33/10, -213/20]

Left sum ORIGINAL sample3 index times width := mul(3, 1/10)

Left sum ORIGINAL sample3 index times width = 3/10

Left sum ORIGINAL sample3 lower plus offset := sum(-2, 3/10)

Left sum ORIGINAL sample3 lower plus offset = -17/10

Left sum ORIGINAL sample3 slope times x := mul(25, -17/10)

Left sum ORIGINAL sample3 slope times x = -85/2

Left sum ORIGINAL sample3 affine value plus c := sum(-85/2, 12)

Left sum ORIGINAL sample3 affine value plus c = -61/2

Left sum ORIGINAL sample3 value times cell width := mul(-61/2, 1/10)

Left sum ORIGINAL sample3 value times cell width = -61/20

Left sum ORIGINAL accumulated term3 := sum(-213/20, -61/20)

Left sum ORIGINAL accumulated term3 = -137/10

source roles = [3, 50, 25, 12, -2, 3, 1/10]

derived = [-17/10, -61/2, -61/20, -137/10]

Left sum ORIGINAL sample4 index times width := mul(4, 1/10)

Left sum ORIGINAL sample4 index times width = 2/5

Left sum ORIGINAL sample4 lower plus offset := sum(-2, 2/5)

Left sum ORIGINAL sample4 lower plus offset = -8/5

Left sum ORIGINAL sample4 slope times x := mul(25, -8/5)

Left sum ORIGINAL sample4 slope times x = -40

Left sum ORIGINAL sample4 affine value plus c := sum(-40, 12)

Left sum ORIGINAL sample4 affine value plus c = -28

Left sum ORIGINAL sample4 value times cell width := mul(-28, 1/10)

Left sum ORIGINAL sample4 value times cell width = -14/5

Left sum ORIGINAL accumulated term4 := sum(-137/10, -14/5)

Left sum ORIGINAL accumulated term4 = -33/2

source roles = [4, 50, 25, 12, -2, 3, 1/10]

derived = [-8/5, -28/1, -14/5, -33/2]

Left sum ORIGINAL sample5 index times width := mul(5, 1/10)

Left sum ORIGINAL sample5 index times width = 1/2

Left sum ORIGINAL sample5 lower plus offset := sum(-2, 1/2)

Left sum ORIGINAL sample5 lower plus offset = -3/2

Left sum ORIGINAL sample5 slope times x := mul(25, -3/2)

Left sum ORIGINAL sample5 slope times x = -75/2

Left sum ORIGINAL sample5 affine value plus c := sum(-75/2, 12)

Left sum ORIGINAL sample5 affine value plus c = -51/2

Left sum ORIGINAL sample5 value times cell width := mul(-51/2, 1/10)

Left sum ORIGINAL sample5 value times cell width = -51/20

Left sum ORIGINAL accumulated term5 := sum(-33/2, -51/20)

Left sum ORIGINAL accumulated term5 = -381/20

source roles = [5, 50, 25, 12, -2, 3, 1/10]

derived = [-3/2, -51/2, -51/20, -381/20]

Left sum ORIGINAL sample6 index times width := mul(6, 1/10)

Left sum ORIGINAL sample6 index times width = 3/5

Left sum ORIGINAL sample6 lower plus offset := sum(-2, 3/5)

Left sum ORIGINAL sample6 lower plus offset = -7/5

Left sum ORIGINAL sample6 slope times x := mul(25, -7/5)

Left sum ORIGINAL sample6 slope times x = -35

Left sum ORIGINAL sample6 affine value plus c := sum(-35, 12)

Left sum ORIGINAL sample6 affine value plus c = -23

Left sum ORIGINAL sample6 value times cell width := mul(-23, 1/10)

Left sum ORIGINAL sample6 value times cell width = -23/10

Left sum ORIGINAL accumulated term6 := sum(-381/20, -23/10)

Left sum ORIGINAL accumulated term6 = -427/20

source roles = [6, 50, 25, 12, -2, 3, 1/10]

derived = [-7/5, -23/1, -23/10, -427/20]

Left sum ORIGINAL sample7 index times width := mul(7, 1/10)

Left sum ORIGINAL sample7 index times width = 7/10

Left sum ORIGINAL sample7 lower plus offset := sum(-2, 7/10)

Left sum ORIGINAL sample7 lower plus offset = -13/10

Left sum ORIGINAL sample7 slope times x := mul(25, -13/10)

Left sum ORIGINAL sample7 slope times x = -65/2

Left sum ORIGINAL sample7 affine value plus c := sum(-65/2, 12)

Left sum ORIGINAL sample7 affine value plus c = -41/2

Left sum ORIGINAL sample7 value times cell width := mul(-41/2, 1/10)

Left sum ORIGINAL sample7 value times cell width = -41/20

Left sum ORIGINAL accumulated term7 := sum(-427/20, -41/20)

Left sum ORIGINAL accumulated term7 = -117/5

source roles = [7, 50, 25, 12, -2, 3, 1/10]

derived = [-13/10, -41/2, -41/20, -117/5]

Left sum ORIGINAL sample8 index times width := mul(8, 1/10)

Left sum ORIGINAL sample8 index times width = 4/5

Left sum ORIGINAL sample8 lower plus offset := sum(-2, 4/5)

Left sum ORIGINAL sample8 lower plus offset = -6/5

Left sum ORIGINAL sample8 slope times x := mul(25, -6/5)

Left sum ORIGINAL sample8 slope times x = -30

Left sum ORIGINAL sample8 affine value plus c := sum(-30, 12)

Left sum ORIGINAL sample8 affine value plus c = -18

Left sum ORIGINAL sample8 value times cell width := mul(-18, 1/10)

Left sum ORIGINAL sample8 value times cell width = -9/5

Left sum ORIGINAL accumulated term8 := sum(-117/5, -9/5)

Left sum ORIGINAL accumulated term8 = -126/5

source roles = [8, 50, 25, 12, -2, 3, 1/10]

derived = [-6/5, -18/1, -9/5, -126/5]

Left sum ORIGINAL sample9 index times width := mul(9, 1/10)

Left sum ORIGINAL sample9 index times width = 9/10

Left sum ORIGINAL sample9 lower plus offset := sum(-2, 9/10)

Left sum ORIGINAL sample9 lower plus offset = -11/10

Left sum ORIGINAL sample9 slope times x := mul(25, -11/10)

Left sum ORIGINAL sample9 slope times x = -55/2

Left sum ORIGINAL sample9 affine value plus c := sum(-55/2, 12)

Left sum ORIGINAL sample9 affine value plus c = -31/2

Left sum ORIGINAL sample9 value times cell width := mul(-31/2, 1/10)

Left sum ORIGINAL sample9 value times cell width = -31/20

Left sum ORIGINAL accumulated term9 := sum(-126/5, -31/20)

Left sum ORIGINAL accumulated term9 = -107/4

source roles = [9, 50, 25, 12, -2, 3, 1/10]

derived = [-11/10, -31/2, -31/20, -107/4]

Left sum ORIGINAL sample10 index times width := mul(10, 1/10)

Left sum ORIGINAL sample10 index times width = 1

Left sum ORIGINAL sample10 lower plus offset := sum(-2, 1)

Left sum ORIGINAL sample10 lower plus offset = -1

Left sum ORIGINAL sample10 slope times x := mul(25, -1)

Left sum ORIGINAL sample10 slope times x = -25

Left sum ORIGINAL sample10 affine value plus c := sum(-25, 12)

Left sum ORIGINAL sample10 affine value plus c = -13

Left sum ORIGINAL sample10 value times cell width := mul(-13, 1/10)

Left sum ORIGINAL sample10 value times cell width = -13/10

Left sum ORIGINAL accumulated term10 := sum(-107/4, -13/10)

Left sum ORIGINAL accumulated term10 = -561/20

source roles = [10, 50, 25, 12, -2, 3, 1/10]

derived = [-1/1, -13/1, -13/10, -561/20]

Left sum ORIGINAL sample11 index times width := mul(11, 1/10)

Left sum ORIGINAL sample11 index times width = 11/10

Left sum ORIGINAL sample11 lower plus offset := sum(-2, 11/10)

Left sum ORIGINAL sample11 lower plus offset = -9/10

Left sum ORIGINAL sample11 slope times x := mul(25, -9/10)

Left sum ORIGINAL sample11 slope times x = -45/2

Left sum ORIGINAL sample11 affine value plus c := sum(-45/2, 12)

Left sum ORIGINAL sample11 affine value plus c = -21/2

Left sum ORIGINAL sample11 value times cell width := mul(-21/2, 1/10)

Left sum ORIGINAL sample11 value times cell width = -21/20

Left sum ORIGINAL accumulated term11 := sum(-561/20, -21/20)

Left sum ORIGINAL accumulated term11 = -291/10

source roles = [11, 50, 25, 12, -2, 3, 1/10]

derived = [-9/10, -21/2, -21/20, -291/10]

Left sum ORIGINAL sample12 index times width := mul(12, 1/10)

Left sum ORIGINAL sample12 index times width = 6/5

Left sum ORIGINAL sample12 lower plus offset := sum(-2, 6/5)

Left sum ORIGINAL sample12 lower plus offset = -4/5

Left sum ORIGINAL sample12 slope times x := mul(25, -4/5)

Left sum ORIGINAL sample12 slope times x = -20

Left sum ORIGINAL sample12 affine value plus c := sum(-20, 12)

Left sum ORIGINAL sample12 affine value plus c = -8

Left sum ORIGINAL sample12 value times cell width := mul(-8, 1/10)

Left sum ORIGINAL sample12 value times cell width = -4/5

Left sum ORIGINAL accumulated term12 := sum(-291/10, -4/5)

Left sum ORIGINAL accumulated term12 = -299/10

source roles = [12, 50, 25, 12, -2, 3, 1/10]

derived = [-4/5, -8/1, -4/5, -299/10]

Left sum ORIGINAL sample13 index times width := mul(13, 1/10)

Left sum ORIGINAL sample13 index times width = 13/10

Left sum ORIGINAL sample13 lower plus offset := sum(-2, 13/10)

Left sum ORIGINAL sample13 lower plus offset = -7/10

Left sum ORIGINAL sample13 slope times x := mul(25, -7/10)

Left sum ORIGINAL sample13 slope times x = -35/2

Left sum ORIGINAL sample13 affine value plus c := sum(-35/2, 12)

Left sum ORIGINAL sample13 affine value plus c = -11/2

Left sum ORIGINAL sample13 value times cell width := mul(-11/2, 1/10)

Left sum ORIGINAL sample13 value times cell width = -11/20

Left sum ORIGINAL accumulated term13 := sum(-299/10, -11/20)

Left sum ORIGINAL accumulated term13 = -609/20

source roles = [13, 50, 25, 12, -2, 3, 1/10]

derived = [-7/10, -11/2, -11/20, -609/20]

Left sum ORIGINAL sample14 index times width := mul(14, 1/10)

Left sum ORIGINAL sample14 index times width = 7/5

Left sum ORIGINAL sample14 lower plus offset := sum(-2, 7/5)

Left sum ORIGINAL sample14 lower plus offset = -3/5

Left sum ORIGINAL sample14 slope times x := mul(25, -3/5)

Left sum ORIGINAL sample14 slope times x = -15

Left sum ORIGINAL sample14 affine value plus c := sum(-15, 12)

Left sum ORIGINAL sample14 affine value plus c = -3

Left sum ORIGINAL sample14 value times cell width := mul(-3, 1/10)

Left sum ORIGINAL sample14 value times cell width = -3/10

Left sum ORIGINAL accumulated term14 := sum(-609/20, -3/10)

Left sum ORIGINAL accumulated term14 = -123/4

source roles = [14, 50, 25, 12, -2, 3, 1/10]

derived = [-3/5, -3/1, -3/10, -123/4]

Left sum ORIGINAL sample15 index times width := mul(15, 1/10)

Left sum ORIGINAL sample15 index times width = 3/2

Left sum ORIGINAL sample15 lower plus offset := sum(-2, 3/2)

Left sum ORIGINAL sample15 lower plus offset = -1/2

Left sum ORIGINAL sample15 slope times x := mul(25, -1/2)

Left sum ORIGINAL sample15 slope times x = -25/2

Left sum ORIGINAL sample15 affine value plus c := sum(-25/2, 12)

Left sum ORIGINAL sample15 affine value plus c = -1/2

Left sum ORIGINAL sample15 value times cell width := mul(-1/2, 1/10)

Left sum ORIGINAL sample15 value times cell width = -1/20

Left sum ORIGINAL accumulated term15 := sum(-123/4, -1/20)

Left sum ORIGINAL accumulated term15 = -154/5

source roles = [15, 50, 25, 12, -2, 3, 1/10]

derived = [-1/2, -1/2, -1/20, -154/5]

Left sum ORIGINAL sample16 index times width := mul(16, 1/10)

Left sum ORIGINAL sample16 index times width = 8/5

Left sum ORIGINAL sample16 lower plus offset := sum(-2, 8/5)

Left sum ORIGINAL sample16 lower plus offset = -2/5

Left sum ORIGINAL sample16 slope times x := mul(25, -2/5)

Left sum ORIGINAL sample16 slope times x = -10

Left sum ORIGINAL sample16 affine value plus c := sum(-10, 12)

Left sum ORIGINAL sample16 affine value plus c = 2

Left sum ORIGINAL sample16 value times cell width := mul(2, 1/10)

Left sum ORIGINAL sample16 value times cell width = 1/5

Left sum ORIGINAL accumulated term16 := sum(-154/5, 1/5)

Left sum ORIGINAL accumulated term16 = -153/5

source roles = [16, 50, 25, 12, -2, 3, 1/10]

derived = [-2/5, 2/1, 1/5, -153/5]

Left sum ORIGINAL sample17 index times width := mul(17, 1/10)

Left sum ORIGINAL sample17 index times width = 17/10

Left sum ORIGINAL sample17 lower plus offset := sum(-2, 17/10)

Left sum ORIGINAL sample17 lower plus offset = -3/10

Left sum ORIGINAL sample17 slope times x := mul(25, -3/10)

Left sum ORIGINAL sample17 slope times x = -15/2

Left sum ORIGINAL sample17 affine value plus c := sum(-15/2, 12)

Left sum ORIGINAL sample17 affine value plus c = 9/2

Left sum ORIGINAL sample17 value times cell width := mul(9/2, 1/10)

Left sum ORIGINAL sample17 value times cell width = 9/20

Left sum ORIGINAL accumulated term17 := sum(-153/5, 9/20)

Left sum ORIGINAL accumulated term17 = -603/20

source roles = [17, 50, 25, 12, -2, 3, 1/10]

derived = [-3/10, 9/2, 9/20, -603/20]

Left sum ORIGINAL sample18 index times width := mul(18, 1/10)

Left sum ORIGINAL sample18 index times width = 9/5

Left sum ORIGINAL sample18 lower plus offset := sum(-2, 9/5)

Left sum ORIGINAL sample18 lower plus offset = -1/5

Left sum ORIGINAL sample18 slope times x := mul(25, -1/5)

Left sum ORIGINAL sample18 slope times x = -5

Left sum ORIGINAL sample18 affine value plus c := sum(-5, 12)

Left sum ORIGINAL sample18 affine value plus c = 7

Left sum ORIGINAL sample18 value times cell width := mul(7, 1/10)

Left sum ORIGINAL sample18 value times cell width = 7/10

Left sum ORIGINAL accumulated term18 := sum(-603/20, 7/10)

Left sum ORIGINAL accumulated term18 = -589/20

source roles = [18, 50, 25, 12, -2, 3, 1/10]

derived = [-1/5, 7/1, 7/10, -589/20]

Left sum ORIGINAL sample19 index times width := mul(19, 1/10)

Left sum ORIGINAL sample19 index times width = 19/10

Left sum ORIGINAL sample19 lower plus offset := sum(-2, 19/10)

Left sum ORIGINAL sample19 lower plus offset = -1/10

Left sum ORIGINAL sample19 slope times x := mul(25, -1/10)

Left sum ORIGINAL sample19 slope times x = -5/2

Left sum ORIGINAL sample19 affine value plus c := sum(-5/2, 12)

Left sum ORIGINAL sample19 affine value plus c = 19/2

Left sum ORIGINAL sample19 value times cell width := mul(19/2, 1/10)

Left sum ORIGINAL sample19 value times cell width = 19/20

Left sum ORIGINAL accumulated term19 := sum(-589/20, 19/20)

Left sum ORIGINAL accumulated term19 = -57/2

source roles = [19, 50, 25, 12, -2, 3, 1/10]

derived = [-1/10, 19/2, 19/20, -57/2]

Left sum ORIGINAL sample20 index times width := mul(20, 1/10)

Left sum ORIGINAL sample20 index times width = 2

Left sum ORIGINAL sample20 lower plus offset := sum(-2, 2)

Left sum ORIGINAL sample20 lower plus offset = 0

Left sum ORIGINAL sample20 slope times x := mul(25, 0)

Left sum ORIGINAL sample20 slope times x = 0

Left sum ORIGINAL sample20 affine value plus c := sum(0, 12)

Left sum ORIGINAL sample20 affine value plus c = 12

Left sum ORIGINAL sample20 value times cell width := mul(12, 1/10)

Left sum ORIGINAL sample20 value times cell width = 6/5

Left sum ORIGINAL accumulated term20 := sum(-57/2, 6/5)

Left sum ORIGINAL accumulated term20 = -273/10

source roles = [20, 50, 25, 12, -2, 3, 1/10]

derived = [0/1, 12/1, 6/5, -273/10]

Left sum ORIGINAL sample21 index times width := mul(21, 1/10)

Left sum ORIGINAL sample21 index times width = 21/10

Left sum ORIGINAL sample21 lower plus offset := sum(-2, 21/10)

Left sum ORIGINAL sample21 lower plus offset = 1/10

Left sum ORIGINAL sample21 slope times x := mul(25, 1/10)

Left sum ORIGINAL sample21 slope times x = 5/2

Left sum ORIGINAL sample21 affine value plus c := sum(5/2, 12)

Left sum ORIGINAL sample21 affine value plus c = 29/2

Left sum ORIGINAL sample21 value times cell width := mul(29/2, 1/10)

Left sum ORIGINAL sample21 value times cell width = 29/20

Left sum ORIGINAL accumulated term21 := sum(-273/10, 29/20)

Left sum ORIGINAL accumulated term21 = -517/20

source roles = [21, 50, 25, 12, -2, 3, 1/10]

derived = [1/10, 29/2, 29/20, -517/20]

Left sum ORIGINAL sample22 index times width := mul(22, 1/10)

Left sum ORIGINAL sample22 index times width = 11/5

Left sum ORIGINAL sample22 lower plus offset := sum(-2, 11/5)

Left sum ORIGINAL sample22 lower plus offset = 1/5

Left sum ORIGINAL sample22 slope times x := mul(25, 1/5)

Left sum ORIGINAL sample22 slope times x = 5

Left sum ORIGINAL sample22 affine value plus c := sum(5, 12)

Left sum ORIGINAL sample22 affine value plus c = 17

Left sum ORIGINAL sample22 value times cell width := mul(17, 1/10)

Left sum ORIGINAL sample22 value times cell width = 17/10

Left sum ORIGINAL accumulated term22 := sum(-517/20, 17/10)

Left sum ORIGINAL accumulated term22 = -483/20

source roles = [22, 50, 25, 12, -2, 3, 1/10]

derived = [1/5, 17/1, 17/10, -483/20]

Left sum ORIGINAL sample23 index times width := mul(23, 1/10)

Left sum ORIGINAL sample23 index times width = 23/10

Left sum ORIGINAL sample23 lower plus offset := sum(-2, 23/10)

Left sum ORIGINAL sample23 lower plus offset = 3/10

Left sum ORIGINAL sample23 slope times x := mul(25, 3/10)

Left sum ORIGINAL sample23 slope times x = 15/2

Left sum ORIGINAL sample23 affine value plus c := sum(15/2, 12)

Left sum ORIGINAL sample23 affine value plus c = 39/2

Left sum ORIGINAL sample23 value times cell width := mul(39/2, 1/10)

Left sum ORIGINAL sample23 value times cell width = 39/20

Left sum ORIGINAL accumulated term23 := sum(-483/20, 39/20)

Left sum ORIGINAL accumulated term23 = -111/5

source roles = [23, 50, 25, 12, -2, 3, 1/10]

derived = [3/10, 39/2, 39/20, -111/5]

Left sum ORIGINAL sample24 index times width := mul(24, 1/10)

Left sum ORIGINAL sample24 index times width = 12/5

Left sum ORIGINAL sample24 lower plus offset := sum(-2, 12/5)

Left sum ORIGINAL sample24 lower plus offset = 2/5

Left sum ORIGINAL sample24 slope times x := mul(25, 2/5)

Left sum ORIGINAL sample24 slope times x = 10

Left sum ORIGINAL sample24 affine value plus c := sum(10, 12)

Left sum ORIGINAL sample24 affine value plus c = 22

Left sum ORIGINAL sample24 value times cell width := mul(22, 1/10)

Left sum ORIGINAL sample24 value times cell width = 11/5

Left sum ORIGINAL accumulated term24 := sum(-111/5, 11/5)

Left sum ORIGINAL accumulated term24 = -20

source roles = [24, 50, 25, 12, -2, 3, 1/10]

derived = [2/5, 22/1, 11/5, -20/1]

Left sum ORIGINAL sample25 index times width := mul(25, 1/10)

Left sum ORIGINAL sample25 index times width = 5/2

Left sum ORIGINAL sample25 lower plus offset := sum(-2, 5/2)

Left sum ORIGINAL sample25 lower plus offset = 1/2

Left sum ORIGINAL sample25 slope times x := mul(25, 1/2)

Left sum ORIGINAL sample25 slope times x = 25/2

Left sum ORIGINAL sample25 affine value plus c := sum(25/2, 12)

Left sum ORIGINAL sample25 affine value plus c = 49/2

Left sum ORIGINAL sample25 value times cell width := mul(49/2, 1/10)

Left sum ORIGINAL sample25 value times cell width = 49/20

Left sum ORIGINAL accumulated term25 := sum(-20, 49/20)

Left sum ORIGINAL accumulated term25 = -351/20

source roles = [25, 50, 25, 12, -2, 3, 1/10]

derived = [1/2, 49/2, 49/20, -351/20]

Left sum ORIGINAL sample26 index times width := mul(26, 1/10)

Left sum ORIGINAL sample26 index times width = 13/5

Left sum ORIGINAL sample26 lower plus offset := sum(-2, 13/5)

Left sum ORIGINAL sample26 lower plus offset = 3/5

Left sum ORIGINAL sample26 slope times x := mul(25, 3/5)

Left sum ORIGINAL sample26 slope times x = 15

Left sum ORIGINAL sample26 affine value plus c := sum(15, 12)

Left sum ORIGINAL sample26 affine value plus c = 27

Left sum ORIGINAL sample26 value times cell width := mul(27, 1/10)

Left sum ORIGINAL sample26 value times cell width = 27/10

Left sum ORIGINAL accumulated term26 := sum(-351/20, 27/10)

Left sum ORIGINAL accumulated term26 = -297/20

source roles = [26, 50, 25, 12, -2, 3, 1/10]

derived = [3/5, 27/1, 27/10, -297/20]

Left sum ORIGINAL sample27 index times width := mul(27, 1/10)

Left sum ORIGINAL sample27 index times width = 27/10

Left sum ORIGINAL sample27 lower plus offset := sum(-2, 27/10)

Left sum ORIGINAL sample27 lower plus offset = 7/10

Left sum ORIGINAL sample27 slope times x := mul(25, 7/10)

Left sum ORIGINAL sample27 slope times x = 35/2

Left sum ORIGINAL sample27 affine value plus c := sum(35/2, 12)

Left sum ORIGINAL sample27 affine value plus c = 59/2

Left sum ORIGINAL sample27 value times cell width := mul(59/2, 1/10)

Left sum ORIGINAL sample27 value times cell width = 59/20

Left sum ORIGINAL accumulated term27 := sum(-297/20, 59/20)

Left sum ORIGINAL accumulated term27 = -119/10

source roles = [27, 50, 25, 12, -2, 3, 1/10]

derived = [7/10, 59/2, 59/20, -119/10]

Left sum ORIGINAL sample28 index times width := mul(28, 1/10)

Left sum ORIGINAL sample28 index times width = 14/5

Left sum ORIGINAL sample28 lower plus offset := sum(-2, 14/5)

Left sum ORIGINAL sample28 lower plus offset = 4/5

Left sum ORIGINAL sample28 slope times x := mul(25, 4/5)

Left sum ORIGINAL sample28 slope times x = 20

Left sum ORIGINAL sample28 affine value plus c := sum(20, 12)

Left sum ORIGINAL sample28 affine value plus c = 32

Left sum ORIGINAL sample28 value times cell width := mul(32, 1/10)

Left sum ORIGINAL sample28 value times cell width = 16/5

Left sum ORIGINAL accumulated term28 := sum(-119/10, 16/5)

Left sum ORIGINAL accumulated term28 = -87/10

source roles = [28, 50, 25, 12, -2, 3, 1/10]

derived = [4/5, 32/1, 16/5, -87/10]

Left sum ORIGINAL sample29 index times width := mul(29, 1/10)

Left sum ORIGINAL sample29 index times width = 29/10

Left sum ORIGINAL sample29 lower plus offset := sum(-2, 29/10)

Left sum ORIGINAL sample29 lower plus offset = 9/10

Left sum ORIGINAL sample29 slope times x := mul(25, 9/10)

Left sum ORIGINAL sample29 slope times x = 45/2

Left sum ORIGINAL sample29 affine value plus c := sum(45/2, 12)

Left sum ORIGINAL sample29 affine value plus c = 69/2

Left sum ORIGINAL sample29 value times cell width := mul(69/2, 1/10)

Left sum ORIGINAL sample29 value times cell width = 69/20

Left sum ORIGINAL accumulated term29 := sum(-87/10, 69/20)

Left sum ORIGINAL accumulated term29 = -21/4

source roles = [29, 50, 25, 12, -2, 3, 1/10]

derived = [9/10, 69/2, 69/20, -21/4]

Left sum ORIGINAL sample30 index times width := mul(30, 1/10)

Left sum ORIGINAL sample30 index times width = 3

Left sum ORIGINAL sample30 lower plus offset := sum(-2, 3)

Left sum ORIGINAL sample30 lower plus offset = 1

Left sum ORIGINAL sample30 slope times x := mul(25, 1)

Left sum ORIGINAL sample30 slope times x = 25

Left sum ORIGINAL sample30 affine value plus c := sum(25, 12)

Left sum ORIGINAL sample30 affine value plus c = 37

Left sum ORIGINAL sample30 value times cell width := mul(37, 1/10)

Left sum ORIGINAL sample30 value times cell width = 37/10

Left sum ORIGINAL accumulated term30 := sum(-21/4, 37/10)

Left sum ORIGINAL accumulated term30 = -31/20

source roles = [30, 50, 25, 12, -2, 3, 1/10]

derived = [1/1, 37/1, 37/10, -31/20]

Left sum ORIGINAL sample31 index times width := mul(31, 1/10)

Left sum ORIGINAL sample31 index times width = 31/10

Left sum ORIGINAL sample31 lower plus offset := sum(-2, 31/10)

Left sum ORIGINAL sample31 lower plus offset = 11/10

Left sum ORIGINAL sample31 slope times x := mul(25, 11/10)

Left sum ORIGINAL sample31 slope times x = 55/2

Left sum ORIGINAL sample31 affine value plus c := sum(55/2, 12)

Left sum ORIGINAL sample31 affine value plus c = 79/2

Left sum ORIGINAL sample31 value times cell width := mul(79/2, 1/10)

Left sum ORIGINAL sample31 value times cell width = 79/20

Left sum ORIGINAL accumulated term31 := sum(-31/20, 79/20)

Left sum ORIGINAL accumulated term31 = 12/5

source roles = [31, 50, 25, 12, -2, 3, 1/10]

derived = [11/10, 79/2, 79/20, 12/5]

Left sum ORIGINAL sample32 index times width := mul(32, 1/10)

Left sum ORIGINAL sample32 index times width = 16/5

Left sum ORIGINAL sample32 lower plus offset := sum(-2, 16/5)

Left sum ORIGINAL sample32 lower plus offset = 6/5

Left sum ORIGINAL sample32 slope times x := mul(25, 6/5)

Left sum ORIGINAL sample32 slope times x = 30

Left sum ORIGINAL sample32 affine value plus c := sum(30, 12)

Left sum ORIGINAL sample32 affine value plus c = 42

Left sum ORIGINAL sample32 value times cell width := mul(42, 1/10)

Left sum ORIGINAL sample32 value times cell width = 21/5

Left sum ORIGINAL accumulated term32 := sum(12/5, 21/5)

Left sum ORIGINAL accumulated term32 = 33/5

source roles = [32, 50, 25, 12, -2, 3, 1/10]

derived = [6/5, 42/1, 21/5, 33/5]

Left sum ORIGINAL sample33 index times width := mul(33, 1/10)

Left sum ORIGINAL sample33 index times width = 33/10

Left sum ORIGINAL sample33 lower plus offset := sum(-2, 33/10)

Left sum ORIGINAL sample33 lower plus offset = 13/10

Left sum ORIGINAL sample33 slope times x := mul(25, 13/10)

Left sum ORIGINAL sample33 slope times x = 65/2

Left sum ORIGINAL sample33 affine value plus c := sum(65/2, 12)

Left sum ORIGINAL sample33 affine value plus c = 89/2

Left sum ORIGINAL sample33 value times cell width := mul(89/2, 1/10)

Left sum ORIGINAL sample33 value times cell width = 89/20

Left sum ORIGINAL accumulated term33 := sum(33/5, 89/20)

Left sum ORIGINAL accumulated term33 = 221/20

source roles = [33, 50, 25, 12, -2, 3, 1/10]

derived = [13/10, 89/2, 89/20, 221/20]

Left sum ORIGINAL sample34 index times width := mul(34, 1/10)

Left sum ORIGINAL sample34 index times width = 17/5

Left sum ORIGINAL sample34 lower plus offset := sum(-2, 17/5)

Left sum ORIGINAL sample34 lower plus offset = 7/5

Left sum ORIGINAL sample34 slope times x := mul(25, 7/5)

Left sum ORIGINAL sample34 slope times x = 35

Left sum ORIGINAL sample34 affine value plus c := sum(35, 12)

Left sum ORIGINAL sample34 affine value plus c = 47

Left sum ORIGINAL sample34 value times cell width := mul(47, 1/10)

Left sum ORIGINAL sample34 value times cell width = 47/10

Left sum ORIGINAL accumulated term34 := sum(221/20, 47/10)

Left sum ORIGINAL accumulated term34 = 63/4

source roles = [34, 50, 25, 12, -2, 3, 1/10]

derived = [7/5, 47/1, 47/10, 63/4]

Left sum ORIGINAL sample35 index times width := mul(35, 1/10)

Left sum ORIGINAL sample35 index times width = 7/2

Left sum ORIGINAL sample35 lower plus offset := sum(-2, 7/2)

Left sum ORIGINAL sample35 lower plus offset = 3/2

Left sum ORIGINAL sample35 slope times x := mul(25, 3/2)

Left sum ORIGINAL sample35 slope times x = 75/2

Left sum ORIGINAL sample35 affine value plus c := sum(75/2, 12)

Left sum ORIGINAL sample35 affine value plus c = 99/2

Left sum ORIGINAL sample35 value times cell width := mul(99/2, 1/10)

Left sum ORIGINAL sample35 value times cell width = 99/20

Left sum ORIGINAL accumulated term35 := sum(63/4, 99/20)

Left sum ORIGINAL accumulated term35 = 207/10

source roles = [35, 50, 25, 12, -2, 3, 1/10]

derived = [3/2, 99/2, 99/20, 207/10]

Left sum ORIGINAL sample36 index times width := mul(36, 1/10)

Left sum ORIGINAL sample36 index times width = 18/5

Left sum ORIGINAL sample36 lower plus offset := sum(-2, 18/5)

Left sum ORIGINAL sample36 lower plus offset = 8/5

Left sum ORIGINAL sample36 slope times x := mul(25, 8/5)

Left sum ORIGINAL sample36 slope times x = 40

Left sum ORIGINAL sample36 affine value plus c := sum(40, 12)

Left sum ORIGINAL sample36 affine value plus c = 52

Left sum ORIGINAL sample36 value times cell width := mul(52, 1/10)

Left sum ORIGINAL sample36 value times cell width = 26/5

Left sum ORIGINAL accumulated term36 := sum(207/10, 26/5)

Left sum ORIGINAL accumulated term36 = 259/10

source roles = [36, 50, 25, 12, -2, 3, 1/10]

derived = [8/5, 52/1, 26/5, 259/10]

Left sum ORIGINAL sample37 index times width := mul(37, 1/10)

Left sum ORIGINAL sample37 index times width = 37/10

Left sum ORIGINAL sample37 lower plus offset := sum(-2, 37/10)

Left sum ORIGINAL sample37 lower plus offset = 17/10

Left sum ORIGINAL sample37 slope times x := mul(25, 17/10)

Left sum ORIGINAL sample37 slope times x = 85/2

Left sum ORIGINAL sample37 affine value plus c := sum(85/2, 12)

Left sum ORIGINAL sample37 affine value plus c = 109/2

Left sum ORIGINAL sample37 value times cell width := mul(109/2, 1/10)

Left sum ORIGINAL sample37 value times cell width = 109/20

Left sum ORIGINAL accumulated term37 := sum(259/10, 109/20)

Left sum ORIGINAL accumulated term37 = 627/20

source roles = [37, 50, 25, 12, -2, 3, 1/10]

derived = [17/10, 109/2, 109/20, 627/20]

Left sum ORIGINAL sample38 index times width := mul(38, 1/10)

Left sum ORIGINAL sample38 index times width = 19/5

Left sum ORIGINAL sample38 lower plus offset := sum(-2, 19/5)

Left sum ORIGINAL sample38 lower plus offset = 9/5

Left sum ORIGINAL sample38 slope times x := mul(25, 9/5)

Left sum ORIGINAL sample38 slope times x = 45

Left sum ORIGINAL sample38 affine value plus c := sum(45, 12)

Left sum ORIGINAL sample38 affine value plus c = 57

Left sum ORIGINAL sample38 value times cell width := mul(57, 1/10)

Left sum ORIGINAL sample38 value times cell width = 57/10

Left sum ORIGINAL accumulated term38 := sum(627/20, 57/10)

Left sum ORIGINAL accumulated term38 = 741/20

source roles = [38, 50, 25, 12, -2, 3, 1/10]

derived = [9/5, 57/1, 57/10, 741/20]

Left sum ORIGINAL sample39 index times width := mul(39, 1/10)

Left sum ORIGINAL sample39 index times width = 39/10

Left sum ORIGINAL sample39 lower plus offset := sum(-2, 39/10)

Left sum ORIGINAL sample39 lower plus offset = 19/10

Left sum ORIGINAL sample39 slope times x := mul(25, 19/10)

Left sum ORIGINAL sample39 slope times x = 95/2

Left sum ORIGINAL sample39 affine value plus c := sum(95/2, 12)

Left sum ORIGINAL sample39 affine value plus c = 119/2

Left sum ORIGINAL sample39 value times cell width := mul(119/2, 1/10)

Left sum ORIGINAL sample39 value times cell width = 119/20

Left sum ORIGINAL accumulated term39 := sum(741/20, 119/20)

Left sum ORIGINAL accumulated term39 = 43

source roles = [39, 50, 25, 12, -2, 3, 1/10]

derived = [19/10, 119/2, 119/20, 43/1]

Left sum ORIGINAL sample40 index times width := mul(40, 1/10)

Left sum ORIGINAL sample40 index times width = 4

Left sum ORIGINAL sample40 lower plus offset := sum(-2, 4)

Left sum ORIGINAL sample40 lower plus offset = 2

Left sum ORIGINAL sample40 slope times x := mul(25, 2)

Left sum ORIGINAL sample40 slope times x = 50

Left sum ORIGINAL sample40 affine value plus c := sum(50, 12)

Left sum ORIGINAL sample40 affine value plus c = 62

Left sum ORIGINAL sample40 value times cell width := mul(62, 1/10)

Left sum ORIGINAL sample40 value times cell width = 31/5

Left sum ORIGINAL accumulated term40 := sum(43, 31/5)

Left sum ORIGINAL accumulated term40 = 246/5

source roles = [40, 50, 25, 12, -2, 3, 1/10]

derived = [2/1, 62/1, 31/5, 246/5]

Left sum ORIGINAL sample41 index times width := mul(41, 1/10)

Left sum ORIGINAL sample41 index times width = 41/10

Left sum ORIGINAL sample41 lower plus offset := sum(-2, 41/10)

Left sum ORIGINAL sample41 lower plus offset = 21/10

Left sum ORIGINAL sample41 slope times x := mul(25, 21/10)

Left sum ORIGINAL sample41 slope times x = 105/2

Left sum ORIGINAL sample41 affine value plus c := sum(105/2, 12)

Left sum ORIGINAL sample41 affine value plus c = 129/2

Left sum ORIGINAL sample41 value times cell width := mul(129/2, 1/10)

Left sum ORIGINAL sample41 value times cell width = 129/20

Left sum ORIGINAL accumulated term41 := sum(246/5, 129/20)

Left sum ORIGINAL accumulated term41 = 1113/20

source roles = [41, 50, 25, 12, -2, 3, 1/10]

derived = [21/10, 129/2, 129/20, 1113/20]

Left sum ORIGINAL sample42 index times width := mul(42, 1/10)

Left sum ORIGINAL sample42 index times width = 21/5

Left sum ORIGINAL sample42 lower plus offset := sum(-2, 21/5)

Left sum ORIGINAL sample42 lower plus offset = 11/5

Left sum ORIGINAL sample42 slope times x := mul(25, 11/5)

Left sum ORIGINAL sample42 slope times x = 55

Left sum ORIGINAL sample42 affine value plus c := sum(55, 12)

Left sum ORIGINAL sample42 affine value plus c = 67

Left sum ORIGINAL sample42 value times cell width := mul(67, 1/10)

Left sum ORIGINAL sample42 value times cell width = 67/10

Left sum ORIGINAL accumulated term42 := sum(1113/20, 67/10)

Left sum ORIGINAL accumulated term42 = 1247/20

source roles = [42, 50, 25, 12, -2, 3, 1/10]

derived = [11/5, 67/1, 67/10, 1247/20]

Left sum ORIGINAL sample43 index times width := mul(43, 1/10)

Left sum ORIGINAL sample43 index times width = 43/10

Left sum ORIGINAL sample43 lower plus offset := sum(-2, 43/10)

Left sum ORIGINAL sample43 lower plus offset = 23/10

Left sum ORIGINAL sample43 slope times x := mul(25, 23/10)

Left sum ORIGINAL sample43 slope times x = 115/2

Left sum ORIGINAL sample43 affine value plus c := sum(115/2, 12)

Left sum ORIGINAL sample43 affine value plus c = 139/2

Left sum ORIGINAL sample43 value times cell width := mul(139/2, 1/10)

Left sum ORIGINAL sample43 value times cell width = 139/20

Left sum ORIGINAL accumulated term43 := sum(1247/20, 139/20)

Left sum ORIGINAL accumulated term43 = 693/10

source roles = [43, 50, 25, 12, -2, 3, 1/10]

derived = [23/10, 139/2, 139/20, 693/10]

Left sum ORIGINAL sample44 index times width := mul(44, 1/10)

Left sum ORIGINAL sample44 index times width = 22/5

Left sum ORIGINAL sample44 lower plus offset := sum(-2, 22/5)

Left sum ORIGINAL sample44 lower plus offset = 12/5

Left sum ORIGINAL sample44 slope times x := mul(25, 12/5)

Left sum ORIGINAL sample44 slope times x = 60

Left sum ORIGINAL sample44 affine value plus c := sum(60, 12)

Left sum ORIGINAL sample44 affine value plus c = 72

Left sum ORIGINAL sample44 value times cell width := mul(72, 1/10)

Left sum ORIGINAL sample44 value times cell width = 36/5

Left sum ORIGINAL accumulated term44 := sum(693/10, 36/5)

Left sum ORIGINAL accumulated term44 = 153/2

source roles = [44, 50, 25, 12, -2, 3, 1/10]

derived = [12/5, 72/1, 36/5, 153/2]

Left sum ORIGINAL sample45 index times width := mul(45, 1/10)

Left sum ORIGINAL sample45 index times width = 9/2

Left sum ORIGINAL sample45 lower plus offset := sum(-2, 9/2)

Left sum ORIGINAL sample45 lower plus offset = 5/2

Left sum ORIGINAL sample45 slope times x := mul(25, 5/2)

Left sum ORIGINAL sample45 slope times x = 125/2

Left sum ORIGINAL sample45 affine value plus c := sum(125/2, 12)

Left sum ORIGINAL sample45 affine value plus c = 149/2

Left sum ORIGINAL sample45 value times cell width := mul(149/2, 1/10)

Left sum ORIGINAL sample45 value times cell width = 149/20

Left sum ORIGINAL accumulated term45 := sum(153/2, 149/20)

Left sum ORIGINAL accumulated term45 = 1679/20

source roles = [45, 50, 25, 12, -2, 3, 1/10]

derived = [5/2, 149/2, 149/20, 1679/20]

Left sum ORIGINAL sample46 index times width := mul(46, 1/10)

Left sum ORIGINAL sample46 index times width = 23/5

Left sum ORIGINAL sample46 lower plus offset := sum(-2, 23/5)

Left sum ORIGINAL sample46 lower plus offset = 13/5

Left sum ORIGINAL sample46 slope times x := mul(25, 13/5)

Left sum ORIGINAL sample46 slope times x = 65

Left sum ORIGINAL sample46 affine value plus c := sum(65, 12)

Left sum ORIGINAL sample46 affine value plus c = 77

Left sum ORIGINAL sample46 value times cell width := mul(77, 1/10)

Left sum ORIGINAL sample46 value times cell width = 77/10

Left sum ORIGINAL accumulated term46 := sum(1679/20, 77/10)

Left sum ORIGINAL accumulated term46 = 1833/20

source roles = [46, 50, 25, 12, -2, 3, 1/10]

derived = [13/5, 77/1, 77/10, 1833/20]

Left sum ORIGINAL sample47 index times width := mul(47, 1/10)

Left sum ORIGINAL sample47 index times width = 47/10

Left sum ORIGINAL sample47 lower plus offset := sum(-2, 47/10)

Left sum ORIGINAL sample47 lower plus offset = 27/10

Left sum ORIGINAL sample47 slope times x := mul(25, 27/10)

Left sum ORIGINAL sample47 slope times x = 135/2

Left sum ORIGINAL sample47 affine value plus c := sum(135/2, 12)

Left sum ORIGINAL sample47 affine value plus c = 159/2

Left sum ORIGINAL sample47 value times cell width := mul(159/2, 1/10)

Left sum ORIGINAL sample47 value times cell width = 159/20

Left sum ORIGINAL accumulated term47 := sum(1833/20, 159/20)

Left sum ORIGINAL accumulated term47 = 498/5

source roles = [47, 50, 25, 12, -2, 3, 1/10]

derived = [27/10, 159/2, 159/20, 498/5]

Left sum ORIGINAL sample48 index times width := mul(48, 1/10)

Left sum ORIGINAL sample48 index times width = 24/5

Left sum ORIGINAL sample48 lower plus offset := sum(-2, 24/5)

Left sum ORIGINAL sample48 lower plus offset = 14/5

Left sum ORIGINAL sample48 slope times x := mul(25, 14/5)

Left sum ORIGINAL sample48 slope times x = 70

Left sum ORIGINAL sample48 affine value plus c := sum(70, 12)

Left sum ORIGINAL sample48 affine value plus c = 82

Left sum ORIGINAL sample48 value times cell width := mul(82, 1/10)

Left sum ORIGINAL sample48 value times cell width = 41/5

Left sum ORIGINAL accumulated term48 := sum(498/5, 41/5)

Left sum ORIGINAL accumulated term48 = 539/5

source roles = [48, 50, 25, 12, -2, 3, 1/10]

derived = [14/5, 82/1, 41/5, 539/5]

Left sum ORIGINAL sample49 index times width := mul(49, 1/10)

Left sum ORIGINAL sample49 index times width = 49/10

Left sum ORIGINAL sample49 lower plus offset := sum(-2, 49/10)

Left sum ORIGINAL sample49 lower plus offset = 29/10

Left sum ORIGINAL sample49 slope times x := mul(25, 29/10)

Left sum ORIGINAL sample49 slope times x = 145/2

Left sum ORIGINAL sample49 affine value plus c := sum(145/2, 12)

Left sum ORIGINAL sample49 affine value plus c = 169/2

Left sum ORIGINAL sample49 value times cell width := mul(169/2, 1/10)

Left sum ORIGINAL sample49 value times cell width = 169/20

Left sum ORIGINAL accumulated term49 := sum(539/5, 169/20)

Left sum ORIGINAL accumulated term49 = 465/4

source roles = [49, 50, 25, 12, -2, 3, 1/10]

derived = [29/10, 169/2, 169/20, 465/4]

source roles = [50, 25, 12, -2, 3]

derived = [1/10, 465/4]

逐步反向核對

• S354 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S353 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S352 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term49，不以小數近似替代。
• S351 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample49 value times cell width，不以小數近似替代。
• S350 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample49 affine value plus c，不以小數近似替代。
• S349 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample49 slope times x，不以小數近似替代。
• S348 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample49 lower plus offset，不以小數近似替代。
• S347 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample49 index times width，不以小數近似替代。
• S346 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S345 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term48，不以小數近似替代。
• S344 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample48 value times cell width，不以小數近似替代。
• S343 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample48 affine value plus c，不以小數近似替代。
• S342 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample48 slope times x，不以小數近似替代。
• S341 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample48 lower plus offset，不以小數近似替代。
• S340 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample48 index times width，不以小數近似替代。
• S339 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S338 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term47，不以小數近似替代。
• S337 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample47 value times cell width，不以小數近似替代。
• S336 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample47 affine value plus c，不以小數近似替代。
• S335 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample47 slope times x，不以小數近似替代。
• S334 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample47 lower plus offset，不以小數近似替代。
• S333 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample47 index times width，不以小數近似替代。
• S332 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S331 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term46，不以小數近似替代。
• S330 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample46 value times cell width，不以小數近似替代。
• S329 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample46 affine value plus c，不以小數近似替代。
• S328 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample46 slope times x，不以小數近似替代。
• S327 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample46 lower plus offset，不以小數近似替代。
• S326 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample46 index times width，不以小數近似替代。
• S325 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S324 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term45，不以小數近似替代。
• S323 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample45 value times cell width，不以小數近似替代。
• S322 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample45 affine value plus c，不以小數近似替代。
• S321 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample45 slope times x，不以小數近似替代。
• S320 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample45 lower plus offset，不以小數近似替代。
• S319 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample45 index times width，不以小數近似替代。
• S318 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S317 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term44，不以小數近似替代。
• S316 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample44 value times cell width，不以小數近似替代。
• S315 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample44 affine value plus c，不以小數近似替代。
• S314 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample44 slope times x，不以小數近似替代。
• S313 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample44 lower plus offset，不以小數近似替代。
• S312 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample44 index times width，不以小數近似替代。
• S311 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S310 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term43，不以小數近似替代。
• S309 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample43 value times cell width，不以小數近似替代。
• S308 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample43 affine value plus c，不以小數近似替代。
• S307 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample43 slope times x，不以小數近似替代。
• S306 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample43 lower plus offset，不以小數近似替代。
• S305 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample43 index times width，不以小數近似替代。
• S304 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S303 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term42，不以小數近似替代。
• S302 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample42 value times cell width，不以小數近似替代。
• S301 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample42 affine value plus c，不以小數近似替代。
• S300 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample42 slope times x，不以小數近似替代。
• S299 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample42 lower plus offset，不以小數近似替代。
• S298 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample42 index times width，不以小數近似替代。
• S297 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S296 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term41，不以小數近似替代。
• S295 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample41 value times cell width，不以小數近似替代。
• S294 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample41 affine value plus c，不以小數近似替代。
• S293 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample41 slope times x，不以小數近似替代。
• S292 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample41 lower plus offset，不以小數近似替代。
• S291 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample41 index times width，不以小數近似替代。
• S290 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S289 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term40，不以小數近似替代。
• S288 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample40 value times cell width，不以小數近似替代。
• S287 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample40 affine value plus c，不以小數近似替代。
• S286 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample40 slope times x，不以小數近似替代。
• S285 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample40 lower plus offset，不以小數近似替代。
• S284 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample40 index times width，不以小數近似替代。
• S283 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S282 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term39，不以小數近似替代。
• S281 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample39 value times cell width，不以小數近似替代。
• S280 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample39 affine value plus c，不以小數近似替代。
• S279 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample39 slope times x，不以小數近似替代。
• S278 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample39 lower plus offset，不以小數近似替代。
• S277 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample39 index times width，不以小數近似替代。
• S276 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S275 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term38，不以小數近似替代。
• S274 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample38 value times cell width，不以小數近似替代。
• S273 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample38 affine value plus c，不以小數近似替代。
• S272 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample38 slope times x，不以小數近似替代。
• S271 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample38 lower plus offset，不以小數近似替代。
• S270 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample38 index times width，不以小數近似替代。
• S269 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S268 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term37，不以小數近似替代。
• S267 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample37 value times cell width，不以小數近似替代。
• S266 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample37 affine value plus c，不以小數近似替代。
• S265 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample37 slope times x，不以小數近似替代。
• S264 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample37 lower plus offset，不以小數近似替代。
• S263 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample37 index times width，不以小數近似替代。
• S262 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S261 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term36，不以小數近似替代。
• S260 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample36 value times cell width，不以小數近似替代。
• S259 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample36 affine value plus c，不以小數近似替代。
• S258 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample36 slope times x，不以小數近似替代。
• S257 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample36 lower plus offset，不以小數近似替代。
• S256 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample36 index times width，不以小數近似替代。
• S255 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S254 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term35，不以小數近似替代。
• S253 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample35 value times cell width，不以小數近似替代。
• S252 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample35 affine value plus c，不以小數近似替代。
• S251 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample35 slope times x，不以小數近似替代。
• S250 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample35 lower plus offset，不以小數近似替代。
• S249 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample35 index times width，不以小數近似替代。
• S248 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S247 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term34，不以小數近似替代。
• S246 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample34 value times cell width，不以小數近似替代。
• S245 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample34 affine value plus c，不以小數近似替代。
• S244 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample34 slope times x，不以小數近似替代。
• S243 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample34 lower plus offset，不以小數近似替代。
• S242 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample34 index times width，不以小數近似替代。
• S241 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S240 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term33，不以小數近似替代。
• S239 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample33 value times cell width，不以小數近似替代。
• S238 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample33 affine value plus c，不以小數近似替代。
• S237 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample33 slope times x，不以小數近似替代。
• S236 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample33 lower plus offset，不以小數近似替代。
• S235 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample33 index times width，不以小數近似替代。
• S234 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S233 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term32，不以小數近似替代。
• S232 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample32 value times cell width，不以小數近似替代。
• S231 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample32 affine value plus c，不以小數近似替代。
• S230 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample32 slope times x，不以小數近似替代。
• S229 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample32 lower plus offset，不以小數近似替代。
• S228 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample32 index times width，不以小數近似替代。
• S227 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S226 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term31，不以小數近似替代。
• S225 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample31 value times cell width，不以小數近似替代。
• S224 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample31 affine value plus c，不以小數近似替代。
• S223 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample31 slope times x，不以小數近似替代。
• S222 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample31 lower plus offset，不以小數近似替代。
• S221 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample31 index times width，不以小數近似替代。
• S220 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S219 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term30，不以小數近似替代。
• S218 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample30 value times cell width，不以小數近似替代。
• S217 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample30 affine value plus c，不以小數近似替代。
• S216 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample30 slope times x，不以小數近似替代。
• S215 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample30 lower plus offset，不以小數近似替代。
• S214 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample30 index times width，不以小數近似替代。
• S213 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S212 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term29，不以小數近似替代。
• S211 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample29 value times cell width，不以小數近似替代。
• S210 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample29 affine value plus c，不以小數近似替代。
• S209 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample29 slope times x，不以小數近似替代。
• S208 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample29 lower plus offset，不以小數近似替代。
• S207 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample29 index times width，不以小數近似替代。
• S206 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S205 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term28，不以小數近似替代。
• S204 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample28 value times cell width，不以小數近似替代。
• S203 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample28 affine value plus c，不以小數近似替代。
• S202 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample28 slope times x，不以小數近似替代。
• S201 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample28 lower plus offset，不以小數近似替代。
• S200 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample28 index times width，不以小數近似替代。
• S199 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S198 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term27，不以小數近似替代。
• S197 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample27 value times cell width，不以小數近似替代。
• S196 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample27 affine value plus c，不以小數近似替代。
• S195 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample27 slope times x，不以小數近似替代。
• S194 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample27 lower plus offset，不以小數近似替代。
• S193 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample27 index times width，不以小數近似替代。
• S192 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S191 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term26，不以小數近似替代。
• S190 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample26 value times cell width，不以小數近似替代。
• S189 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample26 affine value plus c，不以小數近似替代。
• S188 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample26 slope times x，不以小數近似替代。
• S187 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample26 lower plus offset，不以小數近似替代。
• S186 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample26 index times width，不以小數近似替代。
• S185 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S184 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term25，不以小數近似替代。
• S183 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample25 value times cell width，不以小數近似替代。
• S182 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample25 affine value plus c，不以小數近似替代。
• S181 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample25 slope times x，不以小數近似替代。
• S180 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample25 lower plus offset，不以小數近似替代。
• S179 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample25 index times width，不以小數近似替代。
• S178 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S177 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term24，不以小數近似替代。
• S176 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample24 value times cell width，不以小數近似替代。
• S175 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample24 affine value plus c，不以小數近似替代。
• S174 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample24 slope times x，不以小數近似替代。
• S173 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample24 lower plus offset，不以小數近似替代。
• S172 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample24 index times width，不以小數近似替代。
• S171 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S170 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term23，不以小數近似替代。
• S169 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample23 value times cell width，不以小數近似替代。
• S168 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample23 affine value plus c，不以小數近似替代。
• S167 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample23 slope times x，不以小數近似替代。
• S166 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample23 lower plus offset，不以小數近似替代。
• S165 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample23 index times width，不以小數近似替代。
• S164 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S163 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term22，不以小數近似替代。
• S162 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample22 value times cell width，不以小數近似替代。
• S161 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample22 affine value plus c，不以小數近似替代。
• S160 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample22 slope times x，不以小數近似替代。
• S159 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample22 lower plus offset，不以小數近似替代。
• S158 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample22 index times width，不以小數近似替代。
• S157 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S156 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term21，不以小數近似替代。
• S155 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample21 value times cell width，不以小數近似替代。
• S154 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample21 affine value plus c，不以小數近似替代。
• S153 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample21 slope times x，不以小數近似替代。
• S152 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample21 lower plus offset，不以小數近似替代。
• S151 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample21 index times width，不以小數近似替代。
• S150 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S149 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term20，不以小數近似替代。
• S148 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample20 value times cell width，不以小數近似替代。
• S147 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample20 affine value plus c，不以小數近似替代。
• S146 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample20 slope times x，不以小數近似替代。
• S145 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample20 lower plus offset，不以小數近似替代。
• S144 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample20 index times width，不以小數近似替代。
• S143 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S142 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term19，不以小數近似替代。
• S141 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample19 value times cell width，不以小數近似替代。
• S140 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample19 affine value plus c，不以小數近似替代。
• S139 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample19 slope times x，不以小數近似替代。
• S138 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample19 lower plus offset，不以小數近似替代。
• S137 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample19 index times width，不以小數近似替代。
• S136 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S135 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term18，不以小數近似替代。
• S134 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample18 value times cell width，不以小數近似替代。
• S133 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample18 affine value plus c，不以小數近似替代。
• S132 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample18 slope times x，不以小數近似替代。
• S131 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample18 lower plus offset，不以小數近似替代。
• S130 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample18 index times width，不以小數近似替代。
• S129 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S128 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term17，不以小數近似替代。
• S127 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample17 value times cell width，不以小數近似替代。
• S126 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample17 affine value plus c，不以小數近似替代。
• S125 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample17 slope times x，不以小數近似替代。
• S124 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample17 lower plus offset，不以小數近似替代。
• S123 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample17 index times width，不以小數近似替代。
• S122 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S121 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term16，不以小數近似替代。
• S120 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample16 value times cell width，不以小數近似替代。
• S119 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample16 affine value plus c，不以小數近似替代。
• S118 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample16 slope times x，不以小數近似替代。
• S117 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample16 lower plus offset，不以小數近似替代。
• S116 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample16 index times width，不以小數近似替代。
• S115 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S114 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term15，不以小數近似替代。
• S113 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample15 value times cell width，不以小數近似替代。
• S112 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample15 affine value plus c，不以小數近似替代。
• S111 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample15 slope times x，不以小數近似替代。
• S110 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample15 lower plus offset，不以小數近似替代。
• S109 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample15 index times width，不以小數近似替代。
• S108 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S107 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term14，不以小數近似替代。
• S106 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample14 value times cell width，不以小數近似替代。
• S105 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample14 affine value plus c，不以小數近似替代。
• S104 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample14 slope times x，不以小數近似替代。
• S103 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample14 lower plus offset，不以小數近似替代。
• S102 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample14 index times width，不以小數近似替代。
• S101 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S100 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term13，不以小數近似替代。
• S099 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample13 value times cell width，不以小數近似替代。
• S098 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample13 affine value plus c，不以小數近似替代。
• S097 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample13 slope times x，不以小數近似替代。
• S096 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample13 lower plus offset，不以小數近似替代。
• S095 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample13 index times width，不以小數近似替代。
• S094 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S093 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term12，不以小數近似替代。
• S092 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample12 value times cell width，不以小數近似替代。
• S091 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample12 affine value plus c，不以小數近似替代。
• S090 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample12 slope times x，不以小數近似替代。
• S089 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample12 lower plus offset，不以小數近似替代。
• S088 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample12 index times width，不以小數近似替代。
• S087 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S086 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term11，不以小數近似替代。
• S085 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample11 value times cell width，不以小數近似替代。
• S084 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample11 affine value plus c，不以小數近似替代。
• S083 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample11 slope times x，不以小數近似替代。
• S082 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample11 lower plus offset，不以小數近似替代。
• S081 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample11 index times width，不以小數近似替代。
• S080 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S079 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term10，不以小數近似替代。
• S078 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample10 value times cell width，不以小數近似替代。
• S077 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample10 affine value plus c，不以小數近似替代。
• S076 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample10 slope times x，不以小數近似替代。
• S075 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample10 lower plus offset，不以小數近似替代。
• S074 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample10 index times width，不以小數近似替代。
• S073 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S072 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term9，不以小數近似替代。
• S071 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample9 value times cell width，不以小數近似替代。
• S070 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample9 affine value plus c，不以小數近似替代。
• S069 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample9 slope times x，不以小數近似替代。
• S068 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample9 lower plus offset，不以小數近似替代。
• S067 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample9 index times width，不以小數近似替代。
• S066 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S065 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term8，不以小數近似替代。
• S064 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample8 value times cell width，不以小數近似替代。
• S063 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample8 affine value plus c，不以小數近似替代。
• S062 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample8 slope times x，不以小數近似替代。
• S061 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample8 lower plus offset，不以小數近似替代。
• S060 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample8 index times width，不以小數近似替代。
• S059 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S058 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term7，不以小數近似替代。
• S057 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample7 value times cell width，不以小數近似替代。
• S056 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample7 affine value plus c，不以小數近似替代。
• S055 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample7 slope times x，不以小數近似替代。
• S054 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample7 lower plus offset，不以小數近似替代。
• S053 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample7 index times width，不以小數近似替代。
• S052 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S051 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term6，不以小數近似替代。
• S050 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample6 value times cell width，不以小數近似替代。
• S049 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample6 affine value plus c，不以小數近似替代。
• S048 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample6 slope times x，不以小數近似替代。
• S047 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample6 lower plus offset，不以小數近似替代。
• S046 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample6 index times width，不以小數近似替代。
• S045 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S044 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term5，不以小數近似替代。
• S043 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample5 value times cell width，不以小數近似替代。
• S042 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample5 affine value plus c，不以小數近似替代。
• S041 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample5 slope times x，不以小數近似替代。
• S040 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample5 lower plus offset，不以小數近似替代。
• S039 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample5 index times width，不以小數近似替代。
• S038 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S037 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term4，不以小數近似替代。
• S036 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample4 value times cell width，不以小數近似替代。
• S035 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample4 affine value plus c，不以小數近似替代。
• S034 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample4 slope times x，不以小數近似替代。
• S033 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample4 lower plus offset，不以小數近似替代。
• S032 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample4 index times width，不以小數近似替代。
• S031 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S030 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term3，不以小數近似替代。
• S029 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample3 value times cell width，不以小數近似替代。
• S028 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample3 affine value plus c，不以小數近似替代。
• S027 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample3 slope times x，不以小數近似替代。
• S026 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample3 lower plus offset，不以小數近似替代。
• S025 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample3 index times width，不以小數近似替代。
• S024 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S023 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term2，不以小數近似替代。
• S022 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample2 value times cell width，不以小數近似替代。
• S021 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample2 affine value plus c，不以小數近似替代。
• S020 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample2 slope times x，不以小數近似替代。
• S019 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample2 lower plus offset，不以小數近似替代。
• S018 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample2 index times width，不以小數近似替代。
• S017 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S016 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term1，不以小數近似替代。
• S015 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample1 value times cell width，不以小數近似替代。
• S014 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample1 affine value plus c，不以小數近似替代。
• S013 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample1 slope times x，不以小數近似替代。
• S012 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample1 lower plus offset，不以小數近似替代。
• S011 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample1 index times width，不以小數近似替代。
• S010 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。
• S009 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL accumulated term0，不以小數近似替代。
• S008 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample0 value times cell width，不以小數近似替代。
• S007 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample0 affine value plus c，不以小數近似替代。
• S006 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample0 slope times x，不以小數近似替代。
• S005 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample0 lower plus offset，不以小數近似替代。
• S004 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL sample0 index times width，不以小數近似替代。
• S003 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL width over positive cell count，不以小數近似替代。
• S002 · premise_and_result_audit — 以精確有理數重算 Left sum ORIGINAL upper minus lower endpoint，不以小數近似替代。
• S001 · premise_and_result_audit — 以原始資料、欄位角色、型別、論域及本步前提反向代回核對；不表示結論能唯一還原前提。來源綁定候選、獨立審查、形式證明與發布分開。

結論

465/4

依上列完整代值及條件核對得到原題答案；原題編號、格式與狀態保持不變。

本題覆核與來源綁定

覆核日期：2026-10-26

原題、答案、步驟表達式、數值 AST 與既有歷史保持原樣；原來的候選狀態屬於來源歷史，不覆寫為形式化證明。