#!/usr/bin/env tclsh
source ../prelude.tcl

proc diff {lst} {
    set out {}
    for {set i 1} {$i < [llength $lst]} {incr i} {
        lappend out [expr {[lindex $lst $i] - [lindex $lst [expr {$i-1}]]}]
    }
    return $out
}


proc allzeros {lst} {
    foreach x $lst {
        if {$x != 0} { return 0 }
    }
    return 1
}

proc predict {lst} {
    #puts "predict $lst"
    if {[allzeros $lst]} {
        return 0
    }
    return [expr {[lindex $lst end] + [predict [diff $lst]]}]
}

proc unpredict {lst} {
    if {[allzeros $lst]} {
        return 0
    }
    return [expr {[lindex $lst 0] - [unpredict [diff $lst]]}]
}

proc solve input {
    set fw {}
    set bw {}
    while {[gets $input line] >= 0} {
        set next [predict $line]
        set prev [unpredict $line]
        lappend fw $next
        lappend bw $prev
        puts "$prev {$line} $next"
    }
    puts [ladd $fw]
    puts [ladd $bw]
}

solve stdin