payoff: Multi-Asset Option Payoff Calculator

Description Usage Arguments Value Author(s) Examples

View source: R/payoff.R

Description

payoff calculates the per-unit option payoff for digital, best-of, and worst-of multi-asset options.

Usage

1
payoff(payType, pcFlag, strike, S)

Arguments

payType

case; if 0, digital payoff, if 1, best-of payoff, if 2, worst-of payoff.

pcFlag

case vector; if 0, call, if 1, put.

strike

vector; option strikes.

S

list containing the vectors of spatial grid points associated with each underlying. Vector sizes of underlying spatial grid points need not be equal.

Value

payoff returns an array of the unit option values at each point spanned by the list of underlying vectors. Dimension of array is inhereted from S.

Author(s)

Michael Eichenberger and Carlo Rosa

Examples

1
2
3
# payoff of a dual-asset digital call with strikes at 100 and 90.
S <- list(seq(0, 500, by=1), seq(0, 500, by=1))
payoff(0, c(0, 0), c(100, 90), S)

Example output

Loading required package: Matrix
       [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12] [,13]
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       [,14] [,15] [,16] [,17] [,18] [,19] [,20] [,21] [,22] [,23] [,24] [,25]
  [1,]     0     0     0     0     0     0     0     0     0     0     0     0
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[199,]     0     0     0     0     0     0     0     0     0     0     0     0
       [,26] [,27] [,28] [,29] [,30] [,31] [,32] [,33] [,34] [,35] [,36] [,37]
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       [,38] [,39] [,40] [,41] [,42] [,43] [,44] [,45] [,46] [,47] [,48] [,49]
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[186,]     0     0     0     0     0     0     0     0     0     0     0     0
[187,]     0     0     0     0     0     0     0     0     0     0     0     0
[188,]     0     0     0     0     0     0     0     0     0     0     0     0
[189,]     0     0     0     0     0     0     0     0     0     0     0     0
[190,]     0     0     0     0     0     0     0     0     0     0     0     0
[191,]     0     0     0     0     0     0     0     0     0     0     0     0
[192,]     0     0     0     0     0     0     0     0     0     0     0     0
[193,]     0     0     0     0     0     0     0     0     0     0     0     0
[194,]     0     0     0     0     0     0     0     0     0     0     0     0
[195,]     0     0     0     0     0     0     0     0     0     0     0     0
[196,]     0     0     0     0     0     0     0     0     0     0     0     0
[197,]     0     0     0     0     0     0     0     0     0     0     0     0
[198,]     0     0     0     0     0     0     0     0     0     0     0     0
[199,]     0     0     0     0     0     0     0     0     0     0     0     0
       [,50] [,51] [,52] [,53] [,54] [,55] [,56] [,57] [,58] [,59] [,60] [,61]
  [1,]     0     0     0     0     0     0     0     0     0     0     0     0
  [2,]     0     0     0     0     0     0     0     0     0     0     0     0
  [3,]     0     0     0     0     0     0     0     0     0     0     0     0
  [4,]     0     0     0     0     0     0     0     0     0     0     0     0
  [5,]     0     0     0     0     0     0     0     0     0     0     0     0
  [6,]     0     0     0     0     0     0     0     0     0     0     0     0
  [7,]     0     0     0     0     0     0     0     0     0     0     0     0
  [8,]     0     0     0     0     0     0     0     0     0     0     0     0
  [9,]     0     0     0     0     0     0     0     0     0     0     0     0
 [10,]     0     0     0     0     0     0     0     0     0     0     0     0
 [11,]     0     0     0     0     0     0     0     0     0     0     0     0
 [12,]     0     0     0     0     0     0     0     0     0     0     0     0
 [13,]     0     0     0     0     0     0     0     0     0     0     0     0
 [14,]     0     0     0     0     0     0     0     0     0     0     0     0
 [15,]     0     0     0     0     0     0     0     0     0     0     0     0
 [16,]     0     0     0     0     0     0     0     0     0     0     0     0
 [17,]     0     0     0     0     0     0     0     0     0     0     0     0
 [18,]     0     0     0     0     0     0     0     0     0     0     0     0
 [19,]     0     0     0     0     0     0     0     0     0     0     0     0
 [20,]     0     0     0     0     0     0     0     0     0     0     0     0
 [21,]     0     0     0     0     0     0     0     0     0     0     0     0
 [22,]     0     0     0     0     0     0     0     0     0     0     0     0
 [23,]     0     0     0     0     0     0     0     0     0     0     0     0
 [24,]     0     0     0     0     0     0     0     0     0     0     0     0
 [25,]     0     0     0     0     0     0     0     0     0     0     0     0
 [26,]     0     0     0     0     0     0     0     0     0     0     0     0
 [27,]     0     0     0     0     0     0     0     0     0     0     0     0
 [28,]     0     0     0     0     0     0     0     0     0     0     0     0
 [29,]     0     0     0     0     0     0     0     0     0     0     0     0
 [30,]     0     0     0     0     0     0     0     0     0     0     0     0
 [31,]     0     0     0     0     0     0     0     0     0     0     0     0
 [32,]     0     0     0     0     0     0     0     0     0     0     0     0
 [33,]     0     0     0     0     0     0     0     0     0     0     0     0
 [34,]     0     0     0     0     0     0     0     0     0     0     0     0
 [35,]     0     0     0     0     0     0     0     0     0     0     0     0
 [36,]     0     0     0     0     0     0     0     0     0     0     0     0
 [37,]     0     0     0     0     0     0     0     0     0     0     0     0
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 [39,]     0     0     0     0     0     0     0     0     0     0     0     0
 [40,]     0     0     0     0     0     0     0     0     0     0     0     0
 [41,]     0     0     0     0     0     0     0     0     0     0     0     0
 [42,]     0     0     0     0     0     0     0     0     0     0     0     0
 [43,]     0     0     0     0     0     0     0     0     0     0     0     0
 [44,]     0     0     0     0     0     0     0     0     0     0     0     0
 [45,]     0     0     0     0     0     0     0     0     0     0     0     0
 [46,]     0     0     0     0     0     0     0     0     0     0     0     0
 [47,]     0     0     0     0     0     0     0     0     0     0     0     0
 [48,]     0     0     0     0     0     0     0     0     0     0     0     0
 [49,]     0     0     0     0     0     0     0     0     0     0     0     0
 [50,]     0     0     0     0     0     0     0     0     0     0     0     0
 [51,]     0     0     0     0     0     0     0     0     0     0     0     0
 [52,]     0     0     0     0     0     0     0     0     0     0     0     0
 [53,]     0     0     0     0     0     0     0     0     0     0     0     0
 [54,]     0     0     0     0     0     0     0     0     0     0     0     0
 [55,]     0     0     0     0     0     0     0     0     0     0     0     0
 [56,]     0     0     0     0     0     0     0     0     0     0     0     0
 [57,]     0     0     0     0     0     0     0     0     0     0     0     0
 [58,]     0     0     0     0     0     0     0     0     0     0     0     0
 [59,]     0     0     0     0     0     0     0     0     0     0     0     0
 [60,]     0     0     0     0     0     0     0     0     0     0     0     0
 [61,]     0     0     0     0     0     0     0     0     0     0     0     0
 [62,]     0     0     0     0     0     0     0     0     0     0     0     0
 [63,]     0     0     0     0     0     0     0     0     0     0     0     0
 [64,]     0     0     0     0     0     0     0     0     0     0     0     0
 [65,]     0     0     0     0     0     0     0     0     0     0     0     0
 [66,]     0     0     0     0     0     0     0     0     0     0     0     0
 [67,]     0     0     0     0     0     0     0     0     0     0     0     0
 [68,]     0     0     0     0     0     0     0     0     0     0     0     0
 [69,]     0     0     0     0     0     0     0     0     0     0     0     0
 [70,]     0     0     0     0     0     0     0     0     0     0     0     0
 [71,]     0     0     0     0     0     0     0     0     0     0     0     0
 [72,]     0     0     0     0     0     0     0     0     0     0     0     0
 [73,]     0     0     0     0     0     0     0     0     0     0     0     0
 [74,]     0     0     0     0     0     0     0     0     0     0     0     0
 [75,]     0     0     0     0     0     0     0     0     0     0     0     0
 [76,]     0     0     0     0     0     0     0     0     0     0     0     0
 [77,]     0     0     0     0     0     0     0     0     0     0     0     0
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 [79,]     0     0     0     0     0     0     0     0     0     0     0     0
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 [83,]     0     0     0     0     0     0     0     0     0     0     0     0
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 [85,]     0     0     0     0     0     0     0     0     0     0     0     0
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 [87,]     0     0     0     0     0     0     0     0     0     0     0     0
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 [90,]     0     0     0     0     0     0     0     0     0     0     0     0
 [91,]     0     0     0     0     0     0     0     0     0     0     0     0
 [92,]     0     0     0     0     0     0     0     0     0     0     0     0
 [93,]     0     0     0     0     0     0     0     0     0     0     0     0
 [94,]     0     0     0     0     0     0     0     0     0     0     0     0
 [95,]     0     0     0     0     0     0     0     0     0     0     0     0
 [96,]     0     0     0     0     0     0     0     0     0     0     0     0
 [97,]     0     0     0     0     0     0     0     0     0     0     0     0
 [98,]     0     0     0     0     0     0     0     0     0     0     0     0
 [99,]     0     0     0     0     0     0     0     0     0     0     0     0
[100,]     0     0     0     0     0     0     0     0     0     0     0     0
[101,]     0     0     0     0     0     0     0     0     0     0     0     0
[102,]     0     0     0     0     0     0     0     0     0     0     0     0
[103,]     0     0     0     0     0     0     0     0     0     0     0     0
[104,]     0     0     0     0     0     0     0     0     0     0     0     0
[105,]     0     0     0     0     0     0     0     0     0     0     0     0
[106,]     0     0     0     0     0     0     0     0     0     0     0     0
[107,]     0     0     0     0     0     0     0     0     0     0     0     0
[108,]     0     0     0     0     0     0     0     0     0     0     0     0
[109,]     0     0     0     0     0     0     0     0     0     0     0     0
[110,]     0     0     0     0     0     0     0     0     0     0     0     0
[111,]     0     0     0     0     0     0     0     0     0     0     0     0
[112,]     0     0     0     0     0     0     0     0     0     0     0     0
[113,]     0     0     0     0     0     0     0     0     0     0     0     0
[114,]     0     0     0     0     0     0     0     0     0     0     0     0
[115,]     0     0     0     0     0     0     0     0     0     0     0     0
[116,]     0     0     0     0     0     0     0     0     0     0     0     0
[117,]     0     0     0     0     0     0     0     0     0     0     0     0
[118,]     0     0     0     0     0     0     0     0     0     0     0     0
[119,]     0     0     0     0     0     0     0     0     0     0     0     0
[120,]     0     0     0     0     0     0     0     0     0     0     0     0
[121,]     0     0     0     0     0     0     0     0     0     0     0     0
[122,]     0     0     0     0     0     0     0     0     0     0     0     0
[123,]     0     0     0     0     0     0     0     0     0     0     0     0
[124,]     0     0     0     0     0     0     0     0     0     0     0     0
[125,]     0     0     0     0     0     0     0     0     0     0     0     0
[126,]     0     0     0     0     0     0     0     0     0     0     0     0
[127,]     0     0     0     0     0     0     0     0     0     0     0     0
[128,]     0     0     0     0     0     0     0     0     0     0     0     0
[129,]     0     0     0     0     0     0     0     0     0     0     0     0
[130,]     0     0     0     0     0     0     0     0     0     0     0     0
[131,]     0     0     0     0     0     0     0     0     0     0     0     0
[132,]     0     0     0     0     0     0     0     0     0     0     0     0
[133,]     0     0     0     0     0     0     0     0     0     0     0     0
[134,]     0     0     0     0     0     0     0     0     0     0     0     0
[135,]     0     0     0     0     0     0     0     0     0     0     0     0
[136,]     0     0     0     0     0     0     0     0     0     0     0     0
[137,]     0     0     0     0     0     0     0     0     0     0     0     0
[138,]     0     0     0     0     0     0     0     0     0     0     0     0
[139,]     0     0     0     0     0     0     0     0     0     0     0     0
[140,]     0     0     0     0     0     0     0     0     0     0     0     0
[141,]     0     0     0     0     0     0     0     0     0     0     0     0
[142,]     0     0     0     0     0     0     0     0     0     0     0     0
[143,]     0     0     0     0     0     0     0     0     0     0     0     0
[144,]     0     0     0     0     0     0     0     0     0     0     0     0
[145,]     0     0     0     0     0     0     0     0     0     0     0     0
[146,]     0     0     0     0     0     0     0     0     0     0     0     0
[147,]     0     0     0     0     0     0     0     0     0     0     0     0
[148,]     0     0     0     0     0     0     0     0     0     0     0     0
[149,]     0     0     0     0     0     0     0     0     0     0     0     0
[150,]     0     0     0     0     0     0     0     0     0     0     0     0
[151,]     0     0     0     0     0     0     0     0     0     0     0     0
[152,]     0     0     0     0     0     0     0     0     0     0     0     0
[153,]     0     0     0     0     0     0     0     0     0     0     0     0
[154,]     0     0     0     0     0     0     0     0     0     0     0     0
[155,]     0     0     0     0     0     0     0     0     0     0     0     0
[156,]     0     0     0     0     0     0     0     0     0     0     0     0
[157,]     0     0     0     0     0     0     0     0     0     0     0     0
[158,]     0     0     0     0     0     0     0     0     0     0     0     0
[159,]     0     0     0     0     0     0     0     0     0     0     0     0
[160,]     0     0     0     0     0     0     0     0     0     0     0     0
[161,]     0     0     0     0     0     0     0     0     0     0     0     0
[162,]     0     0     0     0     0     0     0     0     0     0     0     0
[163,]     0     0     0     0     0     0     0     0     0     0     0     0
[164,]     0     0     0     0     0     0     0     0     0     0     0     0
[165,]     0     0     0     0     0     0     0     0     0     0     0     0
[166,]     0     0     0     0     0     0     0     0     0     0     0     0
[167,]     0     0     0     0     0     0     0     0     0     0     0     0
[168,]     0     0     0     0     0     0     0     0     0     0     0     0
[169,]     0     0     0     0     0     0     0     0     0     0     0     0
[170,]     0     0     0     0     0     0     0     0     0     0     0     0
[171,]     0     0     0     0     0     0     0     0     0     0     0     0
[172,]     0     0     0     0     0     0     0     0     0     0     0     0
[173,]     0     0     0     0     0     0     0     0     0     0     0     0
[174,]     0     0     0     0     0     0     0     0     0     0     0     0
[175,]     0     0     0     0     0     0     0     0     0     0     0     0
[176,]     0     0     0     0     0     0     0     0     0     0     0     0
[177,]     0     0     0     0     0     0     0     0     0     0     0     0
[178,]     0     0     0     0     0     0     0     0     0     0     0     0
[179,]     0     0     0     0     0     0     0     0     0     0     0     0
[180,]     0     0     0     0     0     0     0     0     0     0     0     0
[181,]     0     0     0     0     0     0     0     0     0     0     0     0
[182,]     0     0     0     0     0     0     0     0     0     0     0     0
[183,]     0     0     0     0     0     0     0     0     0     0     0     0
[184,]     0     0     0     0     0     0     0     0     0     0     0     0
[185,]     0     0     0     0     0     0     0     0     0     0     0     0
[186,]     0     0     0     0     0     0     0     0     0     0     0     0
[187,]     0     0     0     0     0     0     0     0     0     0     0     0
[188,]     0     0     0     0     0     0     0     0     0     0     0     0
[189,]     0     0     0     0     0     0     0     0     0     0     0     0
[190,]     0     0     0     0     0     0     0     0     0     0     0     0
[191,]     0     0     0     0     0     0     0     0     0     0     0     0
[192,]     0     0     0     0     0     0     0     0     0     0     0     0
[193,]     0     0     0     0     0     0     0     0     0     0     0     0
[194,]     0     0     0     0     0     0     0     0     0     0     0     0
[195,]     0     0     0     0     0     0     0     0     0     0     0     0
[196,]     0     0     0     0     0     0     0     0     0     0     0     0
[197,]     0     0     0     0     0     0     0     0     0     0     0     0
[198,]     0     0     0     0     0     0     0     0     0     0     0     0
[199,]     0     0     0     0     0     0     0     0     0     0     0     0
       [,62] [,63] [,64] [,65] [,66] [,67] [,68] [,69] [,70] [,71] [,72] [,73]
  [1,]     0     0     0     0     0     0     0     0     0     0     0     0
  [2,]     0     0     0     0     0     0     0     0     0     0     0     0
  [3,]     0     0     0     0     0     0     0     0     0     0     0     0
  [4,]     0     0     0     0     0     0     0     0     0     0     0     0
  [5,]     0     0     0     0     0     0     0     0     0     0     0     0
  [6,]     0     0     0     0     0     0     0     0     0     0     0     0
  [7,]     0     0     0     0     0     0     0     0     0     0     0     0
  [8,]     0     0     0     0     0     0     0     0     0     0     0     0
  [9,]     0     0     0     0     0     0     0     0     0     0     0     0
 [10,]     0     0     0     0     0     0     0     0     0     0     0     0
 [11,]     0     0     0     0     0     0     0     0     0     0     0     0
 [12,]     0     0     0     0     0     0     0     0     0     0     0     0
 [13,]     0     0     0     0     0     0     0     0     0     0     0     0
 [14,]     0     0     0     0     0     0     0     0     0     0     0     0
 [15,]     0     0     0     0     0     0     0     0     0     0     0     0
 [16,]     0     0     0     0     0     0     0     0     0     0     0     0
 [17,]     0     0     0     0     0     0     0     0     0     0     0     0
 [18,]     0     0     0     0     0     0     0     0     0     0     0     0
 [19,]     0     0     0     0     0     0     0     0     0     0     0     0
 [20,]     0     0     0     0     0     0     0     0     0     0     0     0
 [21,]     0     0     0     0     0     0     0     0     0     0     0     0
 [22,]     0     0     0     0     0     0     0     0     0     0     0     0
 [23,]     0     0     0     0     0     0     0     0     0     0     0     0
 [24,]     0     0     0     0     0     0     0     0     0     0     0     0
 [25,]     0     0     0     0     0     0     0     0     0     0     0     0
 [26,]     0     0     0     0     0     0     0     0     0     0     0     0
 [27,]     0     0     0     0     0     0     0     0     0     0     0     0
 [28,]     0     0     0     0     0     0     0     0     0     0     0     0
 [29,]     0     0     0     0     0     0     0     0     0     0     0     0
 [30,]     0     0     0     0     0     0     0     0     0     0     0     0
 [31,]     0     0     0     0     0     0     0     0     0     0     0     0
 [32,]     0     0     0     0     0     0     0     0     0     0     0     0
 [33,]     0     0     0     0     0     0     0     0     0     0     0     0
 [34,]     0     0     0     0     0     0     0     0     0     0     0     0
 [35,]     0     0     0     0     0     0     0     0     0     0     0     0
 [36,]     0     0     0     0     0     0     0     0     0     0     0     0
 [37,]     0     0     0     0     0     0     0     0     0     0     0     0
 [38,]     0     0     0     0     0     0     0     0     0     0     0     0
 [39,]     0     0     0     0     0     0     0     0     0     0     0     0
 [40,]     0     0     0     0     0     0     0     0     0     0     0     0
 [41,]     0     0     0     0     0     0     0     0     0     0     0     0
 [42,]     0     0     0     0     0     0     0     0     0     0     0     0
 [43,]     0     0     0     0     0     0     0     0     0     0     0     0
 [44,]     0     0     0     0     0     0     0     0     0     0     0     0
 [45,]     0     0     0     0     0     0     0     0     0     0     0     0
 [46,]     0     0     0     0     0     0     0     0     0     0     0     0
 [47,]     0     0     0     0     0     0     0     0     0     0     0     0
 [48,]     0     0     0     0     0     0     0     0     0     0     0     0
 [49,]     0     0     0     0     0     0     0     0     0     0     0     0
 [50,]     0     0     0     0     0     0     0     0     0     0     0     0
 [51,]     0     0     0     0     0     0     0     0     0     0     0     0
 [52,]     0     0     0     0     0     0     0     0     0     0     0     0
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       [,74] [,75] [,76] [,77] [,78] [,79] [,80] [,81] [,82] [,83] [,84] [,85]
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       [,86] [,87] [,88] [,89] [,90] [,91] [,92] [,93] [,94] [,95] [,96] [,97]
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[194,]     0     0     0     0     0     1     1     1     1     1     1     1
[195,]     0     0     0     0     0     1     1     1     1     1     1     1
[196,]     0     0     0     0     0     1     1     1     1     1     1     1
[197,]     0     0     0     0     0     1     1     1     1     1     1     1
[198,]     0     0     0     0     0     1     1     1     1     1     1     1
[199,]     0     0     0     0     0     1     1     1     1     1     1     1
       [,98] [,99] [,100] [,101] [,102] [,103] [,104] [,105] [,106] [,107]
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[112,]     1     1      1      1      1      1      1      1      1      1
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[114,]     1     1      1      1      1      1      1      1      1      1
[115,]     1     1      1      1      1      1      1      1      1      1
[116,]     1     1      1      1      1      1      1      1      1      1
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[123,]     1     1      1      1      1      1      1      1      1      1
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[134,]     1     1      1      1      1      1      1      1      1      1
[135,]     1     1      1      1      1      1      1      1      1      1
[136,]     1     1      1      1      1      1      1      1      1      1
[137,]     1     1      1      1      1      1      1      1      1      1
[138,]     1     1      1      1      1      1      1      1      1      1
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[144,]     1     1      1      1      1      1      1      1      1      1
[145,]     1     1      1      1      1      1      1      1      1      1
[146,]     1     1      1      1      1      1      1      1      1      1
[147,]     1     1      1      1      1      1      1      1      1      1
[148,]     1     1      1      1      1      1      1      1      1      1
[149,]     1     1      1      1      1      1      1      1      1      1
[150,]     1     1      1      1      1      1      1      1      1      1
[151,]     1     1      1      1      1      1      1      1      1      1
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[153,]     1     1      1      1      1      1      1      1      1      1
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[155,]     1     1      1      1      1      1      1      1      1      1
[156,]     1     1      1      1      1      1      1      1      1      1
[157,]     1     1      1      1      1      1      1      1      1      1
[158,]     1     1      1      1      1      1      1      1      1      1
[159,]     1     1      1      1      1      1      1      1      1      1
[160,]     1     1      1      1      1      1      1      1      1      1
[161,]     1     1      1      1      1      1      1      1      1      1
[162,]     1     1      1      1      1      1      1      1      1      1
[163,]     1     1      1      1      1      1      1      1      1      1
[164,]     1     1      1      1      1      1      1      1      1      1
[165,]     1     1      1      1      1      1      1      1      1      1
[166,]     1     1      1      1      1      1      1      1      1      1
[167,]     1     1      1      1      1      1      1      1      1      1
[168,]     1     1      1      1      1      1      1      1      1      1
[169,]     1     1      1      1      1      1      1      1      1      1
[170,]     1     1      1      1      1      1      1      1      1      1
[171,]     1     1      1      1      1      1      1      1      1      1
[172,]     1     1      1      1      1      1      1      1      1      1
[173,]     1     1      1      1      1      1      1      1      1      1
[174,]     1     1      1      1      1      1      1      1      1      1
[175,]     1     1      1      1      1      1      1      1      1      1
[176,]     1     1      1      1      1      1      1      1      1      1
[177,]     1     1      1      1      1      1      1      1      1      1
[178,]     1     1      1      1      1      1      1      1      1      1
[179,]     1     1      1      1      1      1      1      1      1      1
[180,]     1     1      1      1      1      1      1      1      1      1
[181,]     1     1      1      1      1      1      1      1      1      1
[182,]     1     1      1      1      1      1      1      1      1      1
[183,]     1     1      1      1      1      1      1      1      1      1
[184,]     1     1      1      1      1      1      1      1      1      1
[185,]     1     1      1      1      1      1      1      1      1      1
[186,]     1     1      1      1      1      1      1      1      1      1
[187,]     1     1      1      1      1      1      1      1      1      1
[188,]     1     1      1      1      1      1      1      1      1      1
[189,]     1     1      1      1      1      1      1      1      1      1
[190,]     1     1      1      1      1      1      1      1      1      1
[191,]     1     1      1      1      1      1      1      1      1      1
[192,]     1     1      1      1      1      1      1      1      1      1
[193,]     1     1      1      1      1      1      1      1      1      1
[194,]     1     1      1      1      1      1      1      1      1      1
[195,]     1     1      1      1      1      1      1      1      1      1
[196,]     1     1      1      1      1      1      1      1      1      1
[197,]     1     1      1      1      1      1      1      1      1      1
[198,]     1     1      1      1      1      1      1      1      1      1
[199,]     1     1      1      1      1      1      1      1      1      1
       [,108] [,109] [,110] [,111] [,112] [,113] [,114] [,115] [,116] [,117]
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       [,118] [,119] [,120] [,121] [,122] [,123] [,124] [,125] [,126] [,127]
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