There are 29 hcps jountly and 2 running suits, the game seems already in pocket.
Assume:
1) Distribution not worse than 42 in both majors
2) Unfavourable honor position in minors
Is there secured route?
BTW, 4H would be much easier, but it's almost an impossible spot to stop.

Help

Non contested sequence:
1♥----1♠
2♦----3♣
3NT---4NT
all passed.