We have a playlist with $N$ songs numbered $1, \dots, N$.  
Song $i$ lasts $A_i$ seconds.

When the playlist is played, song $1$, song $2$, $\ldots$, and song $N$ play in this order. When song $N$ ends, the playlist repeats itself, starting from song $1$ again. While a song is playing, the next song does not play; when a song ends, the next song starts immediately.

At exactly $T$ seconds after the playlist starts playing, which song is playing? Also, how many seconds have passed since the start of that song?  
There is no input where the playlist changes songs at exactly $T$ seconds after it starts playing.

The input is given from Standard Input in the following format:

```
$N$ $T$
$A_1$ $\ldots$ $A_N$
```

Print an integer representing the song that is playing at exactly $T$ seconds after the playlist starts playing, and an integer representing the number of seconds that have passed since the start of that song, separated by a space.

-   $1 \leq N \leq 10^5$
-   $1 \leq T \leq 10^{18}$
-   $1 \leq A_i \leq 10^9$
-   The playlist does not change songs at exactly $T$ seconds after it starts playing.
-   All values in the input are integers.

1 60

When the playlist is played, the following happens. (Assume that it starts playing at time 0.)

• From time 0 to time 180, song 1 plays.
• From time 180 to time 420, song 2 plays.
• From time 420 to time 540, song 3 plays.
• From time 540 to time 720, song 1 plays.
• From time 720 to time 960, song 2 plays.
• ⋮

At time 600, song 1 is playing, and 60 seconds have passed since the start of that song.