Two deep-sea telemetry beacons each transmit a single reading encoded as a short text string of the form a+bi, where a is the beacon's baseline offset and b is its phase coefficient (always written immediately before a trailing letter i). The mission console needs to know what reading a receiver would see if it combined the two beacons' signals by treating each reading as the value a + b*i and multiplying the two values together using the usual rule (a + b*i) * (c + d*i) = (a*c - b*d) + (a*d + b*c)*i. Given the two beacon readings, compute and report the combined reading in the exact same string format.

Input format

• Line 1: the first beacon's reading, a string of the form a+bi.
• Line 2: the second beacon's reading, a string of the form c+di.

Each reading is written by concatenating the ordinary decimal representation of its offset, a literal + character, the ordinary decimal representation of its coefficient, and the letter i. Integers are written the usual way (a leading - only when negative, never a leading + when positive, no extra digits), so the literal + separating the two parts appears exactly once, immediately after the offset, even when the coefficient itself is negative (for example, an offset of 3 and a coefficient of -2 is written as 3+-2i).

Output format

• A single line: the combined reading, written in the exact same a+bi format described above, using a*c - b*d as the offset and a*d + b*c as the coefficient.

Constraints

• -100 <= a, b, c, d <= 100, where a, b are the first reading's offset and coefficient and c, d are the second reading's.

3+2i
1+4i

-5+14i

-2+5i
3+-4i

14+23i