//ALICE AND BOB ARE PLAYING A GAME USING AN INTEGER ARRAY 𝑎 OF SIZE 𝑛.
// INITIALLY, ALL ELEMENTS OF THE ARRAY ARE COLORLESS. FIRST, ALICE CHOOSES 3 ELEMENTS AND COLORS THEM RED. THEN BOB CHOOSES ANY ELEMENT AND COLORS IT BLUE (IF IT WAS RED — RECOLOR IT). ALICE WINS IF THE SUM OF THE RED ELEMENTS IS STRICTLY GREATER THAN THE VALUE OF THE BLUE ELEMENT.
// YOUR TASK IS TO CALCULATE THE NUMBER OF WAYS THAT ALICE CAN CHOOSE 3 ELEMENTS IN ORDER TO WIN REGARDLESS OF BOB'S ACTIONS.