Code for Oracle.java

package MissingNumber;

import java.lang.Math;

public class Oracle $\{$

long$[]$ data;

$//$ Creates a new oracle, ready to be told all numbers

$//($in any order$)$ from $1$ to $1000000,$ except for one or two.

$//$

$//$ Must run in O$(1)$ time.

Oracle$()$

$\{$

$\}$

$//$ Tells the oracle a number between $1$ and $1000000$ not yet told.

$//$

$//$ Must run in O$(1)$ time.

void tell$($int i$)$

$\{$

$\}$

$//$ If every number between $1$ and $1000000$ except one have

$//$ been told, and no number has been told more than once,

$//$ sets MissInt$[0]$ equal to the one number not yet told.

$//$

$//$ Otherwise has undefined behavior.

$//$

$//$ Must run in O$(1)$ time.

void missing$\_$one$($int$[]$ MissInt$)$

$\{$

$\}$

$//$ If every number between $1$ and $1000000$ except two have

$//$ been told, and no number has been told more than once,

$//$ sets MissInt$[0]$ and MissInt$[1]$ equal to the two numbers

$//$ not yet told $($where MissInt$[0]$ MissInt$[1]).$

$//$

$//$ Otherwise has undefined behavior.

$//$

$//$ Must run in O$(1)$ time.

void missing$\_$two$($int$[]$ MissInt$)$

$\{$

$\}$

$\}$

Code for MAintest.java

package MissingNumber;

import java.util.$*$;

import MissingNumber.Oracle;

public class MainTest $\{$

public static void main$($String$[]$ args$)\{$

$//$ Setup

int$[]$ MissInt;

MissInt $=$ new int$[2]$; $//$ For missing numbers.

ArrayList V$=$ new ArrayList$()$;

$//$ Test missing$\_$one$()$

Oracle o$1=$ new Oracle$()$;

for $($int i $=1$; i ; $++$i$)$

o$1.$tell$($i$)$;

MissInt$[0]=0$;

o$1.$missing$\_$one$($MissInt$)$;

test$($MissInt$[0]==1000000)$;

Oracle o$2=$ new Oracle$()$;

for $($int i $=2$; i ; $++$i$)$

o$2.$tell$($i$)$;

MissInt$[0]=0$;

o$2.$missing$\_$one$($MissInt$)$;

test$($MissInt$[0]==1)$;

Oracle o$3=$ new Oracle$()$;

o$3.$tell$(1)$;

for $($int i $=3$; i ; $++$i$)$

o$3.$tell$($i$)$;

MissInt$[0]=0$;

o$3.$missing$\_$one$($MissInt$)$;

test$($MissInt$[0]==2)$;

Oracle o$4=$ new Oracle$()$;

V$.$clear$()$;

for $($int i $=1$; i ; $++$i$)$

V$.$add$($i$)$;

Collections.shuffle$($V$)$;

for $($int i $=0$; i $<mtext\; id="EditorElement\_189976"></mtext><mn\; id="EditorElement\_189977">9</mn><mn\; id="EditorElement\_189978">9</mn><mn\; id="EditorElement\_189979">9</mn><mn\; id="EditorElement\_189980">9</mn><mn\; id="EditorElement\_189981">9</mn><mn\; id="EditorElement\_189982">9</mn>$; $++$i$)$

o$4.$tell$($V$.$get$($i$))$;

o$4.$missing$\_$one$($MissInt$)$;

test$($MissInt$[0]==$ V$.$get$(999999))$;

Oracle o$5=$ new Oracle$()$;

V$.$clear$()$;

for $($int i $=1$; i ; $++$i$)$

V$.$add$($i$)$;

Collections.shuffle$($V$)$;

for $($int i $=0$; i $<mtext\; id="EditorElement\_190221"></mtext><mn\; id="EditorElement\_190222">9</mn><mn\; id="EditorElement\_190223">9</mn><mn\; id="EditorElement\_190224">9</mn><mn\; id="EditorElement\_190225">9</mn><mn\; id="EditorElement\_190226">9</mn><mn\; id="EditorElement\_190227">9</mn>$; $++$i$)$

o$5.$tell$($V$.$get$($i$))$;

o$5.$missing$\_$one$($MissInt$)$;

test$($MissInt$[0]==$ V$.$get$(999999))$;

System.out.println$("$Assignment complete."$)$;

$\}$

public static void test$($Boolean a$)\{$

if $($a$)$ System.out.println$("$Found$!!!")$;

else

$\{$

System.out.println$("$Fail$!")$;

$\}$

return;

$\}$

$\}$