54 352
RL++LR+LRL++LR+LR+RR+R+R++LRLRRLL+RR++LR+R+LR+L+++L+R+RLRRRRR+R+LL++LR+LLRRRL+++RR+R++LR+LR+++++L++RL+LRRRLLRLRRLRL+LR+LRR+++L++RRRL+RR+++L+L+RRRLRR+R+RLL+LLR+LRLLLL+L++RR+RLRR+L+LR+L+LLLLRRRL++LLLLRLRL+RRLRLLR++LRRR++++L++LR+LLRLR+LRL+RLRRRLRRL++R+L+LR+RLRRRL+L+R++RL+RRRRRLRRLLR++L++L+L+RR+LRLL+LL+R+RLRR+LRL+L+R+L+RRR+RLRLR+RLLR+R++R++RLLLR+LRRLRLLL
+LRL++++L++R+++++LR+LR+L+LL+LRRLR++LRLRLLLRL++R+L+R++RL+R+LRRLRRR+L+RRLLRLLLLRRLRLRR+L+RLLLR+L+RLLRL+++L++R+L++L++RLRRLRL+R+L++RR+R+++LLL++LLLRLLLRLR+R+LR+LR+LLRR+RLRL++++LLLRRR+R+LRRL+LLRRRLLRL+LLR+LR+L+R+L++RRL+++R+RLL+R+RL+RL++L++RR++RL+LR+RL+RR+R+R+RLLL+LRLRLRLRL+L+RRRR+L+R+++L+LRLL+L+++LRL+R+LRLR+++L+RR+RRLLR++RRL++RR++R+LLRLRL++RRR+L+LLL+++R+++
LR++++LLL+RLRL+RLR+LL+L+RLRRLR+++L+LR+LL+R+++L++++L+++L+LL+RLR+LL+L+LRL++RRL++++LR+++R+R+LLL+RL+L+++L+RRRLR+R+L+RRRR+RRLL+L+LR+RRRRRRLRR+L+LRRRR++R+RRLR+R++RLLRLR+LLL+R+++LLRLLR+RRR+RR++LLLLLRRRL+L++RLLLRL++R+RLL+L+RLLRL+LLL+R+RR+RLR+++L+R+L+RRR+LL+++RL++RR+LRL+R++LLLRL++++RR+RLL+R+RR+LRL++LL+R+RL+RLLRRRLLLRRLLL+LLR+RLLRL+LRL+RRRR+R+RL+RLLLRLRRLRRRLL
R+LLR++RLLLRLL+RR+R+LL+++L+LLRL++L++RLRRL+R++++L+R++LRLRRL++LL+RLRL++LLRLL++++LRL+RLRLLL+RLRRL+LRRLLLRRLLL++LR+++++L+R+R+R++RLL+L++LLLRR+RRR++L+RLLRL++R+RL++LLL+LRR+R++L++LL+R+RR+RRL++R+++LL+RR++L+RLLL+R+LL+R+R++++RLRRR+++R+L+L++R+LRRRLRRRRRLLL+++LRRRRLR+RLRR+RR+R+++LRRLL+R+R+RR+R+LLLLLR+LLL++R+L+++L++R++LR++L+RRRRL+L++++R+++LL+LLLLR+RR+++L+++RLRR+RR
RRRLLRL++L+R+RL+++R+RLRRLL+LRL+RLLLLLL+LR++L++LL+LRRRRR+LRR++RL+LLRLLRLR+RR++RLL+L+RLLL+R+L+RLRRL+R++RRR+RRRR+RL+L+LLL+R+LRLL+LLR+LRLRLR+++++L++RRR+++LRL+LLRLR+L+L+LRLLLR+LLR++RRL+R++LRRRLL+R++RR+RL+RRLR+R+RRR+++R++L+LR+R+L+RLRRLLRRR+LR++LLR+L+LRL+RRLL+L+LLRRRR+++L+++R++RLLLLLRR++LRLL+L+LL++RRLLL++LR+++RR+RRRRLRLL+L+RRLLR++RRLLLLLLRRRLR+R++LRLLL+++LR
+RLLLL+++R+RL+RL+RL+R+R+R+RL++RR++RL+R+RLL++++LRL+++R+RR+R++++LRL++RR+++RL+LL+LLL++R+LRRR+LL++LLLLRLRR+LRLL+RR+R+L++LLL++++LL+LL++LLL+LLRL++RL++LRLL+R+++L+L+LRLLLRLRRRLRRR+L+L+L+++LR+L+RRRRRL+RRLR+++LLL+R+LRL+RLRR+RLRRRL+L+LRRLR+L++++LLLRLR++LL++LR++RRR+LL++++RLRRRL+RLRLRL++LLL+RR+RLRRR++LL+LR++RLRR+++LLRLRRLR+R+RL+R++L+RRRR++L+RRL+LLLRRL+++LR++RLL++
L++RRR++LLR+RLLRLR+R+RR+LL+LRRLLR++LLLLL++RLRRL++R++R+RRRRRLRRLR+RR+R+LLRR++RLRL+L+R+RRRRLR+RR++++++RLLRR+LRRLL++RL+LR+++++L+RRLLRL+RLR+RRL+LR++RRRLRLLRLL+LL+RLLR+LLRLRL+LR+LRRL+LRR+L+RR+L+L+LL+R+L+++LR+LR+LRL+RL+L++R+LRRRRL++R+RR++L+RR+R++LR+LRRRRLL+R++RLLRLRR+LL+LRLRLR++RLR++LL+L++LL+++RLLRRRLLLRLL+RR++RLR+LLLRRRLR+LLLR++RRR+L+RLRLLRRLLLLLRRRRLRLRR
+RLRRLLR++++RLLR+LLRR+RLL+LLLRLLLLR+R+LR+LL++RR+++LRLL+RLLRRRRR+LLLRL+RRRLL+L++LL+LLRR+RRR+RRR+RRLL+++LRR+LRR+++LRRL+RLR+RRR+LR+LRRL+R+R+RRRRRLL+RLL+LRR+RR+LRLLRRR+++++RLLRR+RRRRLRRLL+LRR+RR++LRL++RR+L++RRR+R+LRRL++RLLLLRL+L+R+L+RRLRLRRLL+L+RRLLLRLLL+R+LLL+L+RRRRL++RRRRLRR+R++L+R++L+RL+RL+L++LL+RLL+RLRL++LRL+RL+RLLLLRRRRR++L+LR+R+R++R+RL++LR+L++RLLLR
++L+LL+L+++R+LL++++LLR+++RLR+RLLLL+LR+LRL+RLL+++R+++LLR+RLRLRRLRLRLRLLR+RRL++LLLL+LLRL+LRLLLRRL++RRLRRRLR+LLLL+RLR+LRRL+LRLR+R+LL++LLL+RLLRRRL+LRLRRLLL++LRLLRRRR+L+RL++LR++RRLLLRLL+LR+L+RLRLLLRLLLRLL+L+LR++RRR+RRR+L+LR+LRRL++LL+LLLLLRR+LRRLR+L+LRRR+RR+R+++LRLRRR+LLLL++LL+LR++LLRL+RRLLL++L+RLLLRLLLRLRRRR+L+L+++RLR++++R+LLLLRLRL+RLRR+RLR+L+L+LRRLRLRL++
R+RLLLLRR+RRLRLLRR+++L+RL+R+RLL+L++LRLRRRL++LRRR++L+RLLLLR+LLLRRRL++RRLLLLLLRR++L++L+++LRRR+L+L++LRRR+L+R+L+LLRLL+RRLR+LLLLL+LL+R+L+R++LRL+LR+LR+RL+++R+LLR+L+RL++RR+RRR+L+RRLRR++L+R+++++++RL++++LL++++RRRRR+++RLR+R+RRRLRRRRL+LRRLLR++LR+++LRL+LLR+LLR+RLR+RLRL+R+RRLL+L+++R+RLRRRRL++RL++++LLLRLLR+LLR+++RRLR+++R+LLLR+R+RLLRLL+LL++RR++L++R+LLLRRRLRLL++LR+L
R+R+RL+RLRLRLL++++LL++R+L+LL+LL++RLRRLLL+R+L+LRR+++R+RLLR+RRL++LR++LL+LR++RRRRL++L+++LRLRLLL++RRRR+RRLRRRRLRR+R+L+LR++RLL+RRLRL++++LLLL++RL++++RL+LLLRL+L+RLR++RR+L+LRL++LR++RR+LR++RLLLRLL+L+LLL++L+LL+LRLRRRLR++RRL++R+L++LRLR+R+RL++L+LR++LRR+L+LLRLRLR+R+LRRRL+++L+L+L+L+LLR+R+LLL+++L++RLRR+R+LRLRLLR+RRRRR++LLLR++RRR+LLLR++L+RLR++LLR+LRRR++L+++R+++RR+RL
RL++R++LRLRR+RL++L+LRR+LLRRL++++RL+LLL+RRLRR++L+RRRLRRRLR+RLRRLRLLR++R+LRRRRR++R++++LL+RRRRRR+RR+L+LLRR+LR+R++RRLRR+LLRRLR++++RRRLRL+++LLR+LL+LLR+R+RLLR++LL+LLLL+LRL++R+LLLR+RRLRRR+LRLLR++LRLR+LLR+L+++L+R+LR+R+RL+R+R+LL+LLR+++R+LL+LRR+L+LLRRR+L+RLLL+LL+R+RR++RLLRLRRL++RL+R+R+R+RRRL+LLLRRLRLLR++L+LR+LRR+LRRRR+LRRL+RR++RLR+LR++++RRLR++RRLLRR+++L++RR+R+
R++RL+LLR++RR++L++L+RRRRLR+++RLLRLLLLRL++++LR+LR++L++++LRR+RLLL++RRR++R+L+R++L+L+L+RRLRRL+R+R+LL+R+LR+RR+++RLLL+RRLLLLLRRRR+LLLR++RLL+R++LRR+LLL+LL+R+RLL+RL++RR+++LLLL+L++++++LRLL+L+LLRLRL+RLRLR+R+RRLLRRL+++LLLLRR+RRLLLRL+RRLL+LL+LL+RRR+LRLRRLLRL++L+LRR+LRR++L+LRL+R++RRR++L++R+LRLRRLRLLRLL+L+LLRRRLRL++R+LLRRLLR++L+R+R++RL+RLLLLLRRRRL+LLLRRRLRLRRRLRLR
L+L+++LLR+++L+R+LRRLR+RLL++++LR+L+R+LRR+LL+LLL++R+LRL+RRLLLLL+R+R++RR+LRR++RL+LLL++RL+LRL+LR+++RR+LRRR+R++RRRLL+++LLLRLLRLRR+R++L+L++LRRRL+RRLLL+RR++LRL++RR++RRR++R++RRR++RLRRR+RLRRL+++++RLR++LRLRRRL++RLR++RLLLRRR+L+++L+++R+RLLL+L+R+LR+R+LLR+R++RRRRLL+R+RRRL++LRLLRR+LRLL+LLR+++LL+LRR+RL+RLL+RRRL+LL+LR++LL+RR++LLLR+RLR+L+RL+RRR+RLLRL+RLLL++++LL+LLL+RL
++++R+L++RRRRRL++R+LRL+LLL++L+R+R+L++R+L++RLR+RLLLLLLRRLLL++LLL+LRRLL+LLR+RR+LL+LR+LRLR+R+L+++R+R+LLLL++LL+RRR+R+++R++R+LR++R+L+LRLR+RLRLL+RRL++RRRRL+LLLL+LLLRLLRL+L++LLR+LL+RR+L++RRL+R++RRLRRRRR++LRLL++++RR+LRRLRLLRL++RLLRRL++RL+R+LL+RLR+L+RLL+LR+RLRRLLLLR+LRL++LRLL+LRRR+LRRLLLRRRRR+R+RRRR+++++R+R++RR+R+LLRLRLLRLRLLLLL+LRRR+L+LR+RL++RRLRL+LLLLLLL++R
L+RLRLRL++RR++R+++R++LLRLLRRLRLRLRRRR+R++RLLLL+R+RR+LRLRRLR+RLR+R++LL++++RL++R+RRR+RLLLR+LRRLRLR+LR+LLR+RRLL+RRL+LLRR+++++++R+L+R+++RL+L+LRLLRRRR+R+LRR+R+LR+++LL+RRRL+L+LRRL++LL+R+RL+LLRR+RRLRRR+L+RL+R++RRL+RR++RL+R+LLRRRL+LLLRL+LR+L+RR+RRRLLR+LRL+++LLRLRLRR+L+LRRR+RLRL+R+++LR+RRLLRLRLRLL+RLRRL+L+RL+++L+LRL+L+LRRRLRR+RRRRLRLLRR++L++RL+L+RRLR+R+RR+RLL
LRL+LLLRRR+LRR+LLR+L+L+RLRLR+L+RLL+R++RLL++R+L+++LL++RLLLL+LL+LRLLL+L++RLRR+++LR+LRLL+L+LRR+RLL+++R++++LL+R+++RR+L+R+RLRLLRL+R+LRR+L+L+RLLRRL+L+RR+++++RR+LR++R+L+++RLR+RLLRRLRRL+L+LRRRRR+LR++LL+++++RLRLLLL+L++LL+LRLLLLR+R++LRLRLRLL+RR+R+R+RLLRRLLLRRLLL+LLR+++RLL+RLRLR+++++RLR++RRL+RRLRR+RR+RRR+RLRLLRRLLRLRLRR++LLRLLLR++RRRR+L++L+RRLL+RR+LLLLR+LRLL+L+
++R+R+++L+RLRR+LLL+LL+LLL+LL+RR++RLL+LR+++RRLLR+RRR+LRLLLLRLRLLLR+RRLL+RLLLLR+RLLRL+R+RLRLRLLLRR+LLR+LLL+L++LRL++LRR+LR+RLL+RLLL+L+L++RLLLRLL+LRLRLRR+RR++RLLRRLL+L++LR+LRRRLRLR+LLRRLLRL+RRR+RRLRR++L+R++R+R+L+RRL+LLRLLRLL++R++RLLLLL+++R+++LLL+LLLL++RRR+RR+L+RL+R+RR+LLL+L++LRR+++R++LRRL+R+R+R++RRRLL+++RLRRLLLLL+L+RR+++LL+RRRLR+R+LL+LRL++LLRRRR+RRRLL+L+
LR+R+R+++RRRLR+LLLLLLR+LRRRR+LR+L+R++++RLRR+L+R+RLLR+L++L+LR+R+L+LLLLL++RLR+LLL+LRRR++RR+R+RR+R+LRR+RLL+R+RLL+L+R+R+LRLRRLRLLLRLLL+L+LLL+RR+++L++LL++RL++LL+R+RLRR+RRR++RR+RLLLRRRRRLLR+RL+++RRRRLRR+RRRLR+R+LR+++L+RLRRLR+L++LL+++RRLR+R+R+++R+++LL+RR+RRL++RL+RL+RLLR+LL+++RLRL+RR+RRLRLLL+RLRRR+++++LLLR+RRR+RLL+LLLRRLLRRRRR+RL+++++LL++LL+L++RL+RLRLRRLRL++
L+++++LL+LL+RL+RR+RR+++R+R+++LLRLRLLRR+R+++RLRL+RL+RR+RLRRRR+R+RRLLLL++L+RRR+L+RR+LL+L+RLL+LL+LLLL+RL+RLLL+L++R++RR+LR+++RLL+++L+RRLLL+LRL++RRRLLR+L+L+RLL+RLRRRL+L+RR+++LL++LRRR+LRLLLR+LR++++R+LLL++R+RR+LLLR++L+RLR+R+R+++RLL+R+RLL++RLLRLLRL+LL++RLRL+LL++RLLRLLRLRLRLRRRRRLL++LR+RL+LRLRRRR++R+LR+RR+RR+L+RLRLL++L+L++LL+R+LRRR++RR+RLRL+LR+RL+LRLL++R+LRL+
LRR+L++LLLRRRRRR+R+++RLRLR+++RL+++RL++LRLRRRR+RLRRR++RL+LLRLLLRR+L+LLLL+LRRRLLR+RR+L++++LRR+RL+R+L++L+RL++LLLR+RRLRL+L+LLRR+LRLRLRLLR+LL++LLLRLRRRL+LRRL+LRRRLLRLL+LLRLLRL+LL+LR+++LL+LR+LL+RLLLRL++RLLL+R++RLLRRLRRRR+LLRLL+L++R+LLLRRLRRR+RLL+R+LRLRRL++R+RL+RLRRRL+RRR++RLR+LR+LL+++RLLR+++R+R+RRR+R+R+LLLRL+L+LLR++LRRL+L+RL++RLR+RLLLLRLRRLRRLR+RLRR+++LRLR
+LRRRRLRLLRLR++++RLLLLR++RR+R++RLRL++L+++RR+LRL+++RLL+R++RL+LRLRLL+LLRRLRLLRLLRRL+R+RRRR+RRRRRLR+LRL+RRR+RL+L+RRRLR+R+L++RR+LLRL+L+RRLLLRRRLLRRL+L+R+RRLR++R+RRR+LLLLRLL+RLR++++R+RLR+RRRLRLRRLL+RL++++L+RL+LRRR+++LL+LRL+++R+RRL+R+R++++R+RLR++L+LRRRR+L+L++RL+RR+LLRR++LLL+R+++L++R+++L+RR+LLRLL++RLRRRL++R++RR+L+LRRRLRRLRR+LLRLRR++RR+LLLR+R+RL+LLR+LLLLRLLR
R+R++RLL++RL++R+L+RR++LLL+LRL+LLRLL+LLR+LRL++++RRLR+RLLR+R+RLLR+R+R+L+R+RLRLLLLL+LRL+R+++LLL++LRLL+RRL+L++RLL+L+RL+LLR+LRRRRRL+RRRR+LRLLLLLL+L+L+LRR+L+R+++LLRR++LRR+LRLRR+LRL+LLRRRR+RLL++LRRRLLLLL+LLL++LR+LR+RL+LRLRRLRR+R+LRLLL+L++R++RRR+L+LRL+RL+R+RRRRL+R+RLLR++LRRLR+LLL+L+R+RL++RL+++RLRLR+RLL+R++RLLR+LL+RLR+RLLRRLRLR+RRRRLLLL+LRRRRR+++RL+RRLRLLL+RL
+L++L++RRL++RRRLR+++R+RR++L+L+LLR+R+L+RL+LR+R+++R+LLLRL+++LLLLR+R+LL+RLLR+LRRLRL+LL+RL++L+R++RLLL+++L+RLL+LR+LL++RLL+L++R++LRLRR+RLLRL+LL+L+RLRRLR+++R++LRLLLRRLR++LL+++RR+L+RL++R+RLL++++L+R+RL+R+L++RLL+L++++LR+LLR+LL+LLR+LRLRRLRR+LRR+R++RLRL++++++++R+LLL+LR++RRLR+++LRRRLL+LLL+LLRRR+RR+++L++LLRLL+LLRLLLL+R+LRR+R+++LRRRRR+LLRL+RRLR++LRLL+L+RRRLRL+R+L++
R+LLLR+L+R+R+LRLR+R+LLLRRL++RL+RLR+RLLRR+LRRLR+RL++RL+LLL+RL++RLLRL+LLL+RRLL+LLRL+LLL+++LRRRL++R+RLR++RLRRR+LL++++L+R+R+RLLR++L+L+RL+++LLLR+LLLLL++LL++RLLLLL+LRLLL+L++RR+LRLRLRRLRL+R+RLL+LRLL+++LRRL+LR++L+LL+LL++LLR++RR++RLRRLRRLLLLR+R+++L+LLR++LLRLLRL+RRL+L+RR+RRR+++LRL++RRLL++LL+LLRRLRL+LLLL+RRLR++LL+++R+RLR++R+++R+RR+LLLRL+L+R+LRRR+RLR+R++L++R++LL
L+R+LLLRRRLR+L++L+L+LL+LLLRRLLLL++R++RL++LL+++++LRRR+RL+LL+L+RLLLLRRLLR+L+R+++LLLRL+R+L++RRLL+RLR+L+LRLRLRRRLL+LR+L++LRRR+L+LR+++L++LR++R+LLLRR+++LRL+++LLLRRRLRLLR++RRLR++++LL+L+L+LRL+RL+LL++RL+L+L+LLRRL++RLLR+++LLR+R++R+L+RRRLLLR+++LR+RRL+LLLR+R+LL+RRL+RRLLLRR+RR+LLLL+R+LLR+LRLRL+L+RRR+RLL+R+RLL+R+RL+RRRLRRR+LR+LLRRLLL+LLLLR+LRLRLLLLL+RL+L+R+++L+RR+
+LR+LLR+R+R+RRR++RRRL+L+LRR++LR++LR+L+L+++RR+L+L++R+RL++R+LL++LLL+RRR+++R+LLL+R++++LRRLR+LL+RR++++LRR+RL+RLLLRLRRLLLRRRRLLLL+RLLRLR+L++++R+R+LLL+++++++RLLRLRR+RRLL++L++R+R+L+LR++LRLR++RLL++RR+RLRRRL+RL+RR+LLRRRLLLLR+L++L++RR++RLRR++R+R++R+RL+L+LL++LRRL+R+++L+LRL++L+L+RLLRLR++LRLLRR++L+RRLR+R++RRR+LRL+L++RR+LLLRRLLLLLR+R++R+RRR+RL+LRRRRLL+R+LRRLRLL+LR
RLRLR++R++LL+RLRLR+R+++LLLRLL+L+RRLRR+RRLL++L+++LRRLLLRL+L++L+L++LRR+RLR+RRRRLR+L+RLLL+RL+L+RL+L+L+LRRRLRRRRLR+LRRLRLRLL+LR+LRL+LLLRR+LL+R+RL++R+L+R+L+LRR+R+LL+R+RRL+++L+L+L+LR+L+L++RL+LL+R++LRL+++R+++LRRR+LL+RRLR++R++++L+RLLLL++R+LLL+++++RL+++RR+LLRRL++LL+L+LRL+LLR+++RLRLL+RR+++RL+RL+++RRRLLRR+RLR+R+LLL+LRL+RRLLRRL+R+L+LLLR+LRRRLLLLRL+++LLRLL+RRR++L
R+RR++LLL+L+LRRR+LRRLR+++RLL+RL+RL+RLLR+L+R+LL+LRLLL+++L++R+RRR+LRR++R++LLLLL+L+RR+RLLL+RR+LRR++RRRR++R+RRLRLL+LLLR++RLRLLR+RL+LR+LRR++RLR+RRLL+++L+LLRLLLRLR+L+RRRL+RLRLLRR+RRR+LLRRRRLRLRRL++L+RRLLLL+RL+RRR++RLLLL+LRRLLRL+L+L+R++LR+RRRRRLR+RRLLLR+R+R+++R+R+++LLRLLR+L++LRLRRR+LL+RLRL+LLRL+R++RRRLRRRLL+R+LLRR+LRR+LRR+L+RRL+RRLL+R+RLRRLRLRLRRLRR+L++LR+R
+L++L+L+LL+LRLRR++RL++R++LL+RR++RR+RR+R+LRLLLRL++++LRRRR+LR++L+R++RRRLRLLLRRLRLR++LL+++LRR+L+RRR+RR+L+LRLLR+L+R+RLLR+LLRL+L+RL++R+L+RLR+RR+R++LLRRR++L+LLL+RLLR++LLL++R+LLLR++R+RRR+++RLLRL+++RLRRLLL+L++RLLLRRRLL+++L+LRLR+LRRLRRR+RRR+RRL+LL+L+LLLRL++RRRLL+++LRL+LL+R++RRL+LRLL+RLLLL++R+L+RL+++LLRLLRLRR+LRRRRRLLRR+++R+RLL++LRRR+R+L+RRLRR+LLRL++L+RLLL++LL
+LR+LLRLLR+L+RRRLRLLLR++LR+L+RRLRLLRL++L+L+LL+RL+++R+RRR+++RLRRLR+L+RLLRL+LRRLL+LLL+RR+RRLL+LR+LRRR+L++L+++LLRRRRRLLR+RLRLL++L+RRLL++LLRRR+R+RR+RRLLLLRLL++L+L++L+L+LLLLL+LLLLLR++++R+LR+LLLLLR++LLR+++RLLL+R+L++RR+RLLR+LR++LL+++LLRRRRLL+RRRRRR++LL+R++LRRR++R+LRL+L+LL+LR+LL+L+R+LLR++++R+++RLR++LR+R+R+LRL+RRL+LL+LRRR+++++LLRRLL+LL++RL+RRLR+LL+L+LRRRRL+LL
L+R+RRLL+L+L++++R+L+R+RLLL++R++LR++L+RLRRLL++RLL+++RRL++LRR+LR+R+LRRL++RLR++LRLL++RLLLLLLRRRLLLLRLRRRLLRR+L+++L++L+RL+R++LRRR+RL+LLR+LL++RRLRR+RLL+RLR+LLL+LL++L+++RL+RRRR+L++R++++LR+L+R++LRRLRRRRLLLRLLLR+LRR+R+RR+RRL++RL++RR+LL+++RLLR++++RRRR+LR+++R+++L+LRRR++L+RRRRRRL++R+RR++RR+LL+RL++L+LRR+LLR+R+RRR+R+RL+LL++RLL++RL+LLLLRL+LLR++RLRRL+RRLLRLRLRL+LRL
R++LL+++RR++LLL++R++L+R+LLRLRLRLRLRR+LRRLRLL++RLLRR+LLR++RLRRR++LRRL+LR+RRLL+R+RRLLR+RR+R++LRLL+R+RL+R+RR+++RLLRLR+RRL++L++RR+++RLLL+++RLL+++LLR+LLL+LR+L++LRRRRL+LRR+L+RRLRL+R+L+LLLR++LRL++L+LLL+LLLRLL+LRL+LRLLLL++++++R++L+R+RR+RLR+RR++LRLLRRL+R+RRR+LLR+++R+RLLRLL+++LRRL+R+++RL+RLRLLRR+R+++R+RLLLRRLR+LRLR+LR++RL++RRRLLR++L++L+LR+L+RR+RRLRRRL+LL+LLL+L
RLLRLRLR+RRR+RL+LLR++LRLRR+R+RLLR+LLR++RL+R+RL+LR++++L+R++++R+LR+RL+LL++L++RLL+L+LRRLL+RLLR+LRR++LLRLRR+L+R+L+RR+LRLR+RRLLLL+++L++++LLRR+RLR+LR+++R+LLLLLRRLLRR+LRL+RLLR+LRLR+LR++RRL+++++L+LLRRLLR+++LRRR+RLLRRRR++LLLLR+LRRLRRRL+++LRR++RR+++L++++R+L+R+LLR+++++RRL+R+LLL++++LR++++L+R+RRR+LLRLL+++++LLRRLR+++R++RRRRL+RRLL+LRRLL+R++R+RRR+RRLL+L+LRLLRLLLL++L
LR+RLRR+RLR+++LRR+++RLLRLR+RLRR+RLRR+R++LLRL+++RLL+L++L+LLR++R+LL+LLL++RLLLL++LR+++RLLL+LR+RLLLLLL++LRRR+LLRRLRRR+RR+RL+++LLLRLL+RRR+R+R++L+RLR+++++RL+L+L+LR+R++LLRR+RL+LLR+R+L+LR+R++++RRRRR+RLLR+L+RL+LRLRLLLRLRRLL+++RLLRLRLLRR+RRRR+RRR+LL++L+RRLL+RLRLRRRRL+R+++LLRLRLLLL+LR+RRRL+++LRRRLR+++L++L++LLL+L+RLRL+++++++LRL+++RLRLRR+++L++LRLLLRRLLR+LRLL+LLLL
LR+RRRR+RRLLLLLLRRRL+LLLL++RLL+L+RRL++RL++RRRRRLRLRR+LLRRLRRRR+RLLLRRR+LR++RLRLL++RRRRLRL+R++RL+LRLRRLRRRRL+R+LLLRL+LRRRLRRR++R++RLR+L+R+LRLL+LLL++L+RL+RRRLLRL+LLR+LR++L++RR+RL+++R++LL+++LR+R+L+LL+RRRR++LRL++++RR+L++R+L+R+LRR++++R+L+RRLR++++L++RRRL+L+LRL+LRR++RLLRRLL+LR++LR+RR+RL+L+L+L+RRR+RRL+R+LRRR+R++LR+RL+LLRLL+LLRR++L++RR+RR+RL+LLLRLR+LLRLLLL+RL
L+RLRRRRL+L+RRL+LLRLLLR+LRL+R+RRR++LLRR+RRR+LRL+RL+R+RRLRLRR+L++LR+L+L++R+L+R++RLRRLRL+LRRLR+R+LRLR++R+LLLR+LRRRLLL+LRR++R++++LRRLRRLRRL+LRRLLL+LR+++RLLRR+RLLLRRL+RRRR+LL+L+RL+RLRRLRL++L++RR+LL+LR+RLLRRLLLLRR+RR++R+RLLRRRR+RRR+RRRLL+RLR++++LLRRLL++RRRRR++R+LLRRR+R++RRLLRRLL+LLLRR+LRRRRRL+LRLR+RLR++R++LLRRL+LRRRLR+++LLRR++L+RLLL+LLLLLLRRLL+R+R+RL++LL+
L++R++RRLLR++L++LR+RRRL++R+RR++LLLLRR+RL+R+LLRL+RLRRR+RRL+++R+LL+R++LLRRLLLLL+RRLLL+L+RRR+++R+LR+R+RLR+LRRL++LRRLR++++RRRRLRR+R+LLRLLRLRRL+L+R+L+LLLR+R+LRR+L++L+RLRRLRLR+LRRRLR+R+RL+L++RLR++L+++LRLRRRLL++++R+++R+RRLRLRLRL+LLL+RRL++LL+LRLLRLRRLRLRRRL+RRLR+LRRLR++R+++LLLRRRR+R++RLRRLRLR+L+LL++L+RRRR+LL+RRRLRRLRLRR++L+RLRLL+LL+L+++++LLRRRLRRL+LRLRRRL+LR
++++RL+RRRRRR+RL+RRRR+LR+LLL+R++++RLLR+RR++LRLRRL++RRLLR+L+L+R+LLLR+LRRR+LR++R+++L++RR+RRRLLL+R+R++LR+L+++++LRLRL+RRRRLR+L+L+L++LLRL+R+LRL+++L+RLL+R++LL+++LR+L++RRRLLR+++LLR+LLL+RLRRRLRLLL+LRLR++LRRRRRLRLR+RLLLL+RRLLLLR++LLRRL+L+LLLL+L+LR+R+L+L+RLLR++R+++L+LLLL+L+RLRLLR+R+R+LRRR+R+L+RRLRRLL+LR+L+LRLLRLL+R+R+LRL++++RL++R+LR+LRRRRLL++LRLRLLLL+RRLLR+R+L
LLLL+RRR++RR++RL+R+R+R++L+++R+++R+RRLLLL+LRRRRRLR+L++LLRRL+RRRLRL+LLL++RLL++R+R++R++LLRRR++RLR++RR++LR++R+R++LR++LLL++++RRLR+RRRR++L+LR+RRL+RR+++L+R+R++++R+LRR+R++L+RL+LRLLL+RR+L+R+++RLR+LLLRRL++R+++RRR+LLRLRRLRL+R+LRRL+RL++R+RR+LLRL+RL+RRRL+L+LRRRLLL+RLLRLL+LLLLL+LLL+RRR+LR+L+RLR++RRL++R++R+LLRLL+++RRRLR++LLL+LLRR+RRRLRRLRLL+R+R+RRRRRR++RRLR+RRRL+R+
RRL+RR+RR+RL++RLRRR+RRRL+RRR++LR++L+RL++++L+L+R+LRR+LRRRRLR+R+R+LL+RRLRLRLLRLRL+RL+R++L+RLR++++LR+RLLLL+RLR++LRRRL+RR+LRLL+LLRLLLRLLRL+R+LRRR+L+RRLL+RLL++RRLLR+LLLRRL+R+R++LRRLLL+R+RRRLL+R+RR+LR+L+LLLL+L+RLLLLR+R+L++RRRRRLLR+RL+R+R+LRRR+LRRRRL+LLLRLRL+++LRL+RLRL+R++RR++LR+LLL++L+RR++R++++LLRLLR+LLRLRRL+++R+LLLR+++RR+LRL+R++LR+LLRLRL+RLRR+L+LRRL+L+L++
+L++LL++L++++L+RLR+LRL++R+RL+++RRRRLLRRLRLL++R+RL+RRLRR+LRR++LR++RLLRLLL+LLL+++RRRLLRR+L+LRLLR+RRRRR+L+LRLR+RL+RLRLLL+++R+RRLL+RR++++LL++R+L+RRRLR+LL+R+R++RL+RR+RRRLR+RL++RLRRL+L+L+L++LL+RLLRL+LL++RLRR+LRRL+RRRLRRRLLR++LRL+LR++LRRR+LR++LRLLRL+LR+L+RL+L+RR+LR+LLR++RLRRLLLL+LLL++RLLL+L+R+RLRL+RR++++RLR+L+R+LLRL+LLLR+++RL+LLRL+LLR+LRRLR++LLRL+LLLLRRR++R
+RL+L+LR+RRLRR++LRLL+LR+RL+RLRL+LR+RL+R+LLLLRLLLRR++R++RRRRLLRRL++++R++LLLRLR+L+R+L+LLL+RRLLRLLR+++RLLLRL+RRRR+RRRLLLLR++R+LRRLRLRR+LLRLRR+RLR+++LLL+RL+L+L+LRLL+LRRLR+LLRLR+L++LLLL+L+RLLLRRLRRL+L++LR++L+LRRR+LLL+++++LL+RL+L+LLR++L++++L+LLRRR+R++R+LRLRR+RRLLRRRLR+R++R++R+R+++LR++LL+RRL++L++LL+LLRR+LLLLRLLRLR++LRLLRRR+++R+R+++R+RLL++LRRRR+LRL++RLR+++RR
LLLL+RL+RR+LL++L+LLL+LRR++RLRLLLRRLRRLLRL++R+LRRRLLR++LRRLLLRLLLR+LL+R+R+RRLL+RRLL++++LRLL+RL+R+L+LRLLRLRR+L+LLRR+RLR+LLLR++RR+L++LR++LRL+RL+RRR+RL+++RRLLRL+++R+R+L+L++LLL+L+RL+RLRR++L+RRL+RL+++RLRLRRLLLLRR+RRLR+LR+L++LLLL+RRLLRRRLRLR++++LL+++LLLRLRR++RLLRRRR+LRRL++R++LL+LRLLR+++R+RLRRLL+L+R+RLLRRL+R++RL+LLLLRL+++++R++R++L+RRLR++LRLRR+++R+L+RR+LLR+++
LLRLLLRR+RLRLRL+LR+RLL+RLR+++R++LL+R+++LLL+R+++RRLLLLLRR+LR+L++R++RRRR+LLLLL+LL+RRRLLLL+LRR+R++L+R++++LL++LR+++LLR+LLR+RLRLLR+RRL+RRLRLLLLLLLLRLRLLLRLRLL++R+R++RR+LLL++++LL++RRLRRLRL+R+RR+LL+L+R++++LL+R++LL+++R+R++L++R++LLRRRRLLR++RLLLLLRRLLR+RRR++++LLL+RLLRRLL+LRL+RR+RLRLLLLRR++LR+RL+RR+LLL+LR++++RR++LRRLLR++RRRRLRLR+RL++RRRLL+R+RLRRRRL+RLRLRL++RRLL
RR+LLRLR+RLRRLL++RR+RRLR+L+RR+LRL+++++LLL+L+++RL++R+R+RLR+RL+RR+RRLR+R++RL++++LLR+L++RL+LRLL+LR+++RRLR+LLLLR++R+R+L+LL+LLRLRLLLLRLRLRRL+L+L+++RLLL+RRLRR++++L++RRLRLRLLR+RL++RRRLLLL+LLRLRLLLRR+RRR+RRL+RLLLRR+R+++LLL+LRRLLRL+++LLLLLR+RR+LLLRLL+++LLL++LLRR+RRR++L+R+LR+R++R+++LLRLRLRLL+LRRLLRRLLR++LRRR+++R++R+RL+++RR+RLLR++L+R+++L+RL+++++++L++RR+LLRLR+LL
+LR+LRRLR+LR+LR+LRLRLRLL+LRR++R+R++R++R++++LL+RLLRL++RRLLL++R++++R+RL+++LRL+LL++RL+L+RR++LL+LR+LL++R++L++L+L+RRLLRLLLL+RL+L+L+++L+LRL+RLLLLLLRR++L++RLR+RR++LR+R++L+L+L++++L+++++RL++L+LL+RRR+LR+RLLL+RR+LR+RLL+LR+RRR+L+++R+R+L++RLL++LL++RL+LL+RL+L+R++L++LRLRLR+++L+LRLL+RLR+LLRL+LRRLL+R+RRRLL+L++L+R+RL+R++RRR+R++RR+LRRR++L+LLL+RLR+++L+L+LRLR+LL+L++RLRLR
LL+RLRRLL++RRLRRLLRRR++++R+RR++L++RRRL+RLL+L++LRL++++L+LRLRRR+L+LRRLL+LR+LLRLR+RR+L++L+LL+L+RR+LR+RL+L++RL++R+RL+RR+++LRR+++++RRR+LRLL+RL+LRLL++++LLRLR+LRR+++LRLL+L+L+L++RL++RRR+L+RRRR++++R+R++L+R+RRRL++LRL+LLL+++RLRLR+RRLL+RR+RL+RLR+LLR+R+L+RLRRRR+++L++RL+++RLL++RL++LR+RR+R+RL+L+RRLLR+++L+R+LLRRR+R+L+++L+L+++L+++LLL+R+++RRLLR++RLRLRLLLLRLR++LLL++RL+
LR+L+LRRLR+RR+RRR+LLL+L++LRRLLR+LLL+RLL++RLLRLLL+LR+LLRR+R+RR+RR+++LLLLR++RLLRL+RLRRRRR+LLLL+LL+R+R+R++++++++RL+R++R+RRLRL+R+LLRLRL++L+L++R+LLL+LRRR+RLR+LR+RR+++L+RL+LRLLLR++RRLRRLLLRRL+LRL+LL+R+R+++LR+L+++LLRLL+LRRLLLRLRL+LLL+LRRR+R++LRLL+L++L+RR+LLLRLRRLRR+LLLRRRLLLRRLL+RLR+RLL+LLR+LRLRLR++++L++RL++L+L+RR++++R++L+RLRL++RLRR+++L+++L+++LL+LRRLR++R+RR
+LRLRR++RR+RR+L+LLR+RR+L+LRRR+LRLRLLLRLRRL+LL+++L+++RLRLLL++L++LLL+L+LL+LRR+LRLLLLR++RRL+L+R+L+R+RRR+LRRR+R+LRL+RRR++LR+RRR+LLL++L+L+LR++LLR+L+LLR+++LLL+RLRLRR+LR+RLLRLR+LLLRRLL++++++LRRRLLL+L++L++RLRR+L++LL++RRRL+R+R+RL+R+R+LR+RRR++RRLLRRLL+RRL+RR+L+LLRR++++RLRRLLRR+RLLR+R++LL+LR+R+R++LLR+LR+LRLL+R+LRRRLLLR++L+L+L+R++++LRLLR+L+LLR+RRRLLRR+R+LRRR+LRR
LLRR+L+R+++RLR+RR++LL+R+LLL+R+RLL+LRLLR+LLLL+RLRL+LRR+LL++RLRRRRRLLRRRR+LLRLLRLL++R+LR++++LLL++++LRR+RR+L+R+L+L++RRRLRR+R+R++RLRLLRL+RRRRLR+L+L+RLLL++R+R++LLR++RRLLRR+LLLL++RRRRLL+RRR++L+L++R+R+R++RLRRLRLLLLL+++L+LRLL+LL+L+R+LRRR+LLL++++LRRR++LR+LRR+L++R+RRRLL+R++L+R++L+LRRLRL++RLRLR++L++R++RRR+LL+LRR+LR++L+RRR++L++LRRLRLLRL+LLL++LRRRRRLL+LLRRLR++RLR
+L+L+LLRRL+RRR++R+LLRL+LRR+R+RRR++RRR+RL+++R++LL++++LL+R+R+RRR+L++LRRRR+R+RR++L+RRLRRRR+LLRLR+LL++RR+LR+RLRLRL+++RR+++R++L+RR+RLLLRR++LLRRR+++LLR+RRRR++L++R+RLLRLL+LLR+RRR+LR++LLRLLLRRRL+RRRRLL+++LLRL+L+RLLL+RLL+RRLR+LL+R++RLRL+RRRL+LR++LLRRR+R+LRL+RRL+RLLR++RLLLL++LR+R+RRR++R+L++LR+LR+LL++LL+L++LL+L+RRL++LR+R+LLR+RLR+RRRR+RL+L++LLLLR+LRLLLRLR+R++RR+
RRLL+LLL+R++++RLRLL+RRL+++LR++LRLRR+LLRRLLLRL+++RRLRR+R+L+L+RRR++RR++LLLRLRRLL+LLR+LRLRLRR+RLR++L+RRLRRR+L+R+++R++R+L+R+L+LLLL+RRRRRRLRRLR+L+R+RR+++LRRRRLRR+RLLL++LLRLL+LLLLRLRR+R+L++LLLL+++LR++++LLLLRLR++L++LLR+RLR+R+LR+R+LL++R++LRLL+LRL+LL+++RR++++LL+RLRLL+RRR++L++++R+L+L+L+LR+L++RRRR+LLL+++LLR++L+LR++++RLRRRL+LLLLLRRLL+L+R+L+L+R+LRRRRRR+L+RR+LR++R
+L+LL+LRL++L++LL+L+RRRRRR++LRL+L+LRR++RRRRL+RRLRLLRRRLLL++LRL+++R++R+RR+LL++LL+++R+L+L++R++LLLLLL++RRLL+R+LLLRL+LL+LL+R++++RR++L+LLLLLL+LR++RLRLRRRLL++R+RR+L+R+R++LLRRRLR++++++RLLRR+LR+RLRRL+RLR+R+LR++RLLRR+RRL+++L+RL+LLR+++RR+++RLL++R++LRL++RLRLR+R+LRLLLL+++R+LR++LLRRLRLL+++RLL++LRLLLR+RLLL+LRRRRRLRRLL++RRR+L+L+R+L+++L+L+LL++LL+LR++L+LRLLR+LLLR+RLL+
