text: |
  Представьте квадрат двучлена $({{a}}x + {{b}}y)^2$ в виде многочлена.
  # {{coeff_xx}}x^2 - {{coeff_yy}}y^2$
  # {{coeff_xx}}x^2 + {{coeff_yy}}y^2$
  # {{coeff_xx}}x^2 {{sign_xy}} {{coeff_xy}}xy + {{coeff_yy}}y^2$
  # {{coeff_xy}}x^2 {{sign_xy}} {{coeff_xy_half}}xy + {{coeff_yy}}y^2$
  # {{a}}x^2 {{sign_xy}} {{-1 * coeff_xy}}xy + {{coeff_yy}}y^2$
  # {{a}}x^2 {{sign_xy}} {{coeff_xy}}xy + {{coeff_yy}}y^2$
  # {{coeff_xx}}x^2 {{-1 * sign_xy}} {{coeff_xy}}xy + {{coeff_yy}}y^2$


solution: |
  По формуле квадрата суммы двух чисел имеем  $({{a}}x + {{b}}y)^2 = ({{a}}x)^2 + 2 \cdot {{a}}x \cdot {{b}}y + ({{b}}y)^2 = {{coeff_xx}}x^2 {{sign_xy}} {{coeff_xy}}xy + {{coeff_yy}}y^2$.

variables: |
  - name: a
    type: randint
    min: -9
    max: 9
    init: 1

  - name: b
    type: randint
    min: -9
    max: 9
    init: 1

  - name: twice_ab
    type: computedint
    formula: 2 * a * b

  - name: ab
    type: computedint
    formula: a * b

  - name: coeff_xx
    type: map
    varible: a
    variants:
      - if: [1]
        than: ""
      - if: [-1]
        than: ""
      - if: [2]
        than: "4"
      - if: [-2]
        than: "4"
      - if: [3]
        than: "9"
      - if: [-3]
        than: "9"
      - if: [4]
        than: "16"
      - if: [-4]
        than: "16"
      - if: [5]
        than: "25"
      - if: [-5]
        than: "25"
      - if: [6]
        than: "36"
      - if: [-6]
        than: "36"
      - if: [7]
        than: "49"
      - if: [-7]
        than: "49"
      - if: [8]
        than: "64"
      - if: [-8]
        than: "64"
      - if: [9]
        than: "81"
      - if: [-9]
        than: "81"

  - name: coeff_yy
    type: map
    varible: b
    variants:
      - if: [1]
        than: ""
      - if: [-1]
        than: ""
      - if: [2]
        than: "4"
      - if: [-2]
        than: "4"
      - if: [3]
        than: "9"
      - if: [-3]
        than: "9"
      - if: [4]
        than: "16"
      - if: [-4]
        than: "16"
      - if: [5]
        than: "25"
      - if: [-5]
        than: "25"
      - if: [6]
        than: "36"
      - if: [-6]
        than: "36"
      - if: [7]
        than: "49"
      - if: [-7]
        than: "49"
      - if: [8]
        than: "64"
      - if: [-8]
        than: "64"
      - if: [9]
        than: "81"
      - if: [-9]
        than: "81"

  - name: coeff_xy
    type: map
    varible: twice_ab
    variants:
      - if: [1]
        than: ""
      - if: [-1]
        than: ""
      - if: [2]
        than: "2"
      - if: [-2]
        than: "2"
      - if: [3]
        than: "3"
      - if: [-3]
        than: "3"
      - if: [4]
        than: "4"
      - if: [-4]
        than: "4"
      - if: [5]
        than: "5"
      - if: [-5]
        than: "5"
      - if: [6]
        than: "6"
      - if: [-6]
        than: "6"
      - if: [7]
        than: "7"
      - if: [-7]
        than: "7"
      - if: [8]
        than: "8"
      - if: [-8]
        than: "8"
      - if: [9]
        than: "9"
      - if: [-9]
        than: "9"

  - name: coeff_xy_half
    type: map
    varible: ab
    variants:
      - if: [1]
        than: ""
      - if: [-1]
        than: ""
      - if: [2]
        than: "2"
      - if: [-2]
        than: "2"
      - if: [3]
        than: "3"
      - if: [-3]
        than: "3"
      - if: [4]
        than: "4"
      - if: [-4]
        than: "4"
      - if: [5]
        than: "5"
      - if: [-5]
        than: "5"
      - if: [6]
        than: "6"
      - if: [-6]
        than: "6"
      - if: [7]
        than: "7"
      - if: [-7]
        than: "7"
      - if: [8]
        than: "8"
      - if: [-8]
        than: "8"
      - if: [9]
        than: "9"
      - if: [-9]
        than: "9"

  - name: sign_xy
    type: map
    varible: coeff_xy
    variants:
      - if: [1]
        than: "+"
      - if: [-1]
        than: "-"
      - if: [2]
        than: "+"
      - if: [-2]
        than: "-"
      - if: [3]
        than: "+"
      - if: [-3]
        than: "-"
      - if: [4]
        than: "+"
      - if: [-4]
        than: "-"
      - if: [5]
        than: "+"
      - if: [-5]
        than: "-"
      - if: [6]
        than: "+"
      - if: [-6]
        than: "-"
      - if: [7]
        than: "+"
      - if: [-7]
        than: "-"
      - if: [8]
        than: "+"
      - if: [-8]
        than: "-"
      - if: [9]
        than: "+"
      - if: [-9]
        than: "-"

answers:
  - name: answer
    type: const
    value: 3
conditions:
  - a != 0
  - b != 0
тип: ввод