Please complete the C$++$code given

#include

using namespace std;

int main$()$

$\{$

$//$ m$1-$ number of missionaries at bank $1$

$//$ c$1-$ number of cannibals at bank $1$

$//$ m$2-$ number of missionaries at bank $2$

$//$ c$2-$ number of cannibals at bank $2$

$//$ b $-$ boat position $(1$ or $2)$

$//$ lose $-$ a boolean to indicate whether missionaries are eaten

$//$ Initial state: $3$ missionaries and $3$ cannibals at bank $1,0$ missionaries and $0$ cannibals at bank $2,$ boat at bank $1$

int m$1=3,$ c$1=3,$ m$2=0,$ c$2=0,$ b $=1$;

bool lose $=$ false;

$//----------------------------------------------$

$//$ Task $1$: Winning condition

$//$ When the winning condition is not met, continue the game

while $(/*$YOUR CODE HERE$*/)$

$//----------------------------------------------$

$\{$

$//$ Print the current state before each move

cout $<<$ "Bank $1$: $"<<$ m$1<<"$ missionaries, $"<<$ c$1<<"$ cannibals" $<<$ endl;

cout $<<$ "Bank $2$: $"<<$ m$2<<"$ missionaries, $"<<$ c$2<<"$ cannibals" $<<$ endl;

cout $<<$ "Boat is at bank $"<<$ b $<<$ endl;

$//------------------------------------------------------------------------$

$//$ Task $2$: Input and move

$//$ Read the number of missionaries and cannibals to move and update relevant

$//$ variables. Read missionaries first and then cannibals. You also need to

$//$ output the prompt, so put the following two "cout" statements to

$//$ appropriate places.

$//$ cout $<<$ "Enter the number of missionaries to move: $"$;

$//$ cout $<<$ "Enter the number of cannibals to move: $"$;

$//$ You don't need to validate the input, which means you may assume:

$//1.$ The input is never negative

$//2.$ The input is no larger than the number of missionaries or cannibals at the bank

$//3.$ The number of people on board is always between $1$ and $2$

$//$ Our demo programs provide input validation. If you are interested, you can also try

$//$ to validate the input yourself, but this won't be tested in ZINC testcases.

$//$ However, it is POSSIBLE that an input leads to a losing condition $($missionaries eaten$)$

$//$ YOUR CODE HERE

$//------------------------------------------------------------------------$

$//----------------------------------------------------------------------------$

$//$ Task $3$: Losing condition

$//$ If the losing condition is met after a move, set "lose" to true and then break

$//$ the loop to stop the game

$//$ YOUR CODE HERE

$//----------------------------------------------------------------------------$

$\}$

$//$ Print the final state

cout $<<$ "Bank $1$: $"<<$ m$1<<"$ missionaries, $"<<$ c$1<<"$ cannibals" $<<$ endl;

cout $<<$ "Bank $2$: $"<<$ m$2<<"$ missionaries, $"<<$ c$2<<"$ cannibals" $<<$ endl;

if $($lose$)$

$\{$

cout $<<$ "Missionaries been eaten! Game over!" $<<$ endl;

$\}$

else

$\{$

cout $<<$ "You win!" $<<$ endl;

$\}$

return $0$;

$\}$