library(tidyverse)
I_MAT <- read.csv("Wyoming_2024_SAM_v1.7/Wyoming_ixi_39_naics2_2024.csv")
NAMES <- I_MAT[,1]
LEN  <-  nrow(I_MAT)
I_MAT <- I_MAT[,-1]
I_MAT <- as.matrix(I_MAT,nrow=LEN)
colnames(I_MAT) <- NAMES
rownames(I_MAT) <- NAMES
TOTALS <- colSums(I_MAT )
TOTALS <- ifelse(TOTALS==0,0.000000,TOTALS) %>% as.numeric
#Column division
A_MAT <- t(t(I_MAT)/TOTALS)
ACCOUNT_RANGE <- (LEN-13):LEN
KEEP_TYPE1 <- !(colnames(A_MAT) %in% c('EmpComp','PropInc','OthPropInc','TOPI','SUB','HH','FICA','K','FED','SG','LG','INV','RUSA','ROW'))
A_MAT1 <- A_MAT[KEEP_TYPE1,KEEP_TYPE1]

A_MAT1[1,1]
MULTIPLIER_OUTPUT_TYPE1 <- solve(diag(nrow(A_MAT1))-A_MAT1)
TYPE1_MULTIPLIERS_TOTAL <- colSums(MULTIPLIER_OUTPUT_TYPE1 )

KEEP_TYPE2 <- !(colnames(A_MAT) %in% c('FICA','K','FED','SG','LG','INV','RUSA','ROW'))
A_MAT2 <- A_MAT[KEEP_TYPE2,KEEP_TYPE2]


MULTIPLIER_OUTPUT_TYPE2  <-  solve(diag(nrow(A_MAT2))-A_MAT2)
MULTIPLIER_OUTPUT_TYPE2
HH_VALUE_ACCOUNTS <- (nrow(MULTIPLIER_OUTPUT_TYPE2  )-5):nrow(MULTIPLIER_OUTPUT_TYPE2  )
TYPE2_MULTIPLIERS_TOTAL <- colSums(MULTIPLIER_OUTPUT_TYPE2[-HH_VALUE_ACCOUNTS ,])
TYPE2_MULTIPLIERS_TOTAL 
names(TYPE2_MULTIPLIERS_TOTAL )
INDUCED <- TYPE2_MULTIPLIERS_TOTAL[!(names(TYPE2_MULTIPLIERS_TOTAL) %in% c('EmpComp','PropInc','OthPropInc','TOPI','SUB','HH'))]-TYPE1_MULTIPLIERS_TOTAL
INDIRECT <- TYPE1_MULTIPLIERS_TOTAL-1
INDIRECT 
INDUCED
TYPE1_MULTIPLIERS_TOTAL 
###########Value Added

VALUE_ADD_MAT <- colSums(I_MAT[c('EmpComp','PropInc','OthPropInc','TOPI','SUB'),])/colSums(I_MAT)
VALUE_ADD_MAT 
 (I_MAT[c('EmpComp'),])/colSums(I_MAT)
 (I_MAT[c('PropInc'),])/colSums(I_MAT)
 (I_MAT[c('OthPropInc'),])/colSums(I_MAT)
 (I_MAT[c('TOPI'),])/colSums(I_MAT)
 (I_MAT[c('SUB'),])/colSums(I_MAT)
nrow(MULTIPLIER_OUTPUT_TYPE2)
MULTIPLIER_OUTPUT_TYPE2
length( TYPE2_MULTIPLIERS_TOTAL)
length( I_MAT[c('EmpComp'),])
			    /colSums(I_MAT)))


TYPE1_MULTIPLIERS_TOTAL 


colSums(I_MAT[(colnames(I_MAT) %in% c('EmpComp','PropInc','OthPropInc','TOPI','SUB')),])/colSums(I_MAT) 


VALUE_ADD_MAT 
colSums(VALUE_ADD_MAT[colnames(TYPE2_A)]*MULTIPLIER_OUTPUT_TYPE2 )
colSums(VALUE_ADD_MAT[colnames(TYPE1_A)]*MULTIPLIER_OUTPUT_TYPE1 )
colSums(MULTIPLIER_OUTPUT_TYPE1*VALUE_ADD_MAT[colnames(TYPE1_A)] )



VA_TYPE2 <- colSums(solve(diag(nrow(TYPE2_A))-TYPE2_A*VALUE_ADD_MAT[colnames(TYPE2_A)]))
VA_TYPE1 <- colSums(solve(diag(nrow(TYPE1_A))-TYPE1_A*VALUE_ADD_MAT[colnames(TYPE1_A)]))

EmpComp_MAT <- I_MAT[c('EmpComp'),]/colSums(I_MAT)
	EmpComp_TYPE2 <- colSums(solve(diag(nrow(TYPE2_A))-TYPE2_A*EmpComp_MAT[colnames(TYPE2_A)]))
EmpComp_TYPE2 
	EmpComp_TYPE1 <- colSums(solve(diag(nrow(TYPE1_A))-TYPE1_A*EmpComp_MAT[colnames(TYPE1_A)]))
min(EmpComp_TYPE1 )


	
PropInc_MAT <- I_MAT[c('PropInc'),]/colSums(I_MAT)
OthPropInc_MAT <- I_MAT[c('OthPropInc'),]/colSums(I_MAT)
TOPI_MAT <- I_MAT[c('TOPI'),]/colSums(I_MAT)
SUB_MAT <- I_MAT[c('SUB'),]/colSums(I_MAT)