238 329
R++R+LLRRR+R+L+L+LRRL++LR+LL+R++R+L++LRRRRR+LLLRRRLL++RRLR+LRR+RRL+R+L++RR+R++RLRL+LR+LL++LR+++RLLR++LLR+RRR+LL++L+LRLL+++LL+LR+RLRRLLLRRLLRRRLR+LLLLLRLR+R+LLRR+RLR+R+L+++LLRLR+RR+LR++L+R++R+LRL+RRL+RLL+RLRLRLRLRL+RR+++R++L+LRRLL++RLRLRR+RRRRL+++LR+LLLRL++LL+L+++++L++++LR+LRRRRLRRRRRRRL+LRLLLLRRRLL++++++++LRLLLL++LR+LRR+++RLLLL
R+LRL++RLLLRRLLR+RRR+RR+RLL+R+LR+RRRR+RL+RR+R++RRL++RRRR+L++LLL+R+L++RRRRLRLRRRLL+RLRRRLR++LLRLL+LR++R++++++LRRRL++LLLRR+LLRL+RL+R+LLRR+RRR+LRRLLRRLRL+LRRL+RLLRLLLRR++++L+R+LR+LLL+RR+RLLLL+LR++RR+RR+RRRLL+L+L++LRL++L++RLLLLRL++LLRR++++RLLRLRLLLLLR+RR++R+R+LLRRR+LLRR+R++R++LRL++LRLR+LRL++R+L++++LLLR+L++RL++L+L+++RLLR+++LL+RL+++L
+L+R+RLLRLRLLL++LL+LR++++LLLLRLRL+L+RLLL++L+L+R+L++++RL+RR+R+R+++LLLLL++LLL+LR++LR++LRR++RR++R++R+LLLL+RR+L+LLL+LLLRRRLRRRRRLL+L+RRL+++R+RLR+RRR+LRLRLLL+L+LL+LRRRRRL+RLLRR++L+L+RR+RLR++L+LR+RL++L+RRLLLRR+RRLR+RLRL+++R+L+++RRL+LLRR+++LLRRRL+L+RRLR+LRRLL+R+LRLLRLL+++LR+LL+L+LLLR+L+RL+RLR+RLL+LLRL++L+++LL+L+R+RLRR+RLRLRLL+LLRLRR+R
+LRRRR+RRRR+RLR+LR++R+LL+R++RLRL++LR+RR++RRR+LRRL+RRR+++R+LLLRLRLL+LLRR+L+++RLLR+LLLLLLL+L+RRRRR+R+RRR+RLRLRLRLRLRLLLLRRLLRR+R+R+R++LR+L+RLRRL+R+RRRLRRR+LRRLLLLRRLR+RLRLLL+RRR++L+R+RRL+RLL+RLL+L++L+LRLRLL+++R++R++R+L+RRL+L+LRLRLL++L+++LL+L+RR++RL++L++LL+RL+R++RRLR+R+RL+RLL+R++LLRRRLRLLRLRRLLR++L++RRL+RL+RR+++R+RR+LLR+RRLR++LRR+
LL++++RR+++LLLRRLLRLLR+LL+RLL+L+++RR+L+LL+++RRLR++LLL+RLR+RL+RLRRL+LLL+LR+L+R+++RRL++LRLRR+LLL+RL+RL+R++++LRR+R++R+LRR+R++LLRRLLR+++LLLL+R++R+RRLR+L+LLLR++LRL+RL+L+R++++RLLL+LRRL++RRLLR+LLL+LRR++RR+RR+R+++RR+L+L++RL++LL++RRLLR++++LLR+L+RL+R+RLLLLRLLLRL+RLLL+RRL+RLL++R+RR+LL++L++RL+RLRRRLR+RL+RR+++LRRLLR+R+R+LL+L++R+RRLLL++LR+R+
RR+LL++R+LR++++RLRRLRRLLRL++++L+++LRLR++LRLLR+LLRRLR+LRRLLRLLRRL+L++L+LLLLRR+LL++L+++LL+LRR+L++RLLLLLLLL++RRRLRLL++L+R+RRLLL+RLRRLR+R++LLRL+++R+RLRL+L+LRRR+LR++R++RL+L+RL+L++++LLL+RR++LLR+L++L++RLR+LR+L+R+RL+LRLRRR++++++L+++RLRRLRLL++++LL+RRR+LLLLLLLL+++L+LR+R+L++LRL+R++RLRLR+L++LLRR++R+R++++LRLLLR+RR+LLLLRLRL+++RLR+R+RLLRR+++R
LL+LRRLRRL++++L+R+R+RRL++R+LRLRL+R+RRLRL+LL+LLR+++R++L+R+R++LRRRR++R++LRL++L++LRLL+++LL+R+RLR++LR+++R+R+LL+L+LRLRLRR++LLR+++RR+RR++R+R+R+L+L++RLR+L+LLLLRLLL+LRRRRR+R+RLL+L+++L++RR++RRLLLR+RLRRLRRR+LL+LR+++RLRLL+RL+++LLLL+LRR+L+L+LLRLL+R+++R+RRRL+LL+R+R+L+RRRLRLLLLLLR+++RRR+R++R+RRR+LLRLL+LL+LRLRLR+RR+++LLRLRRLLL+RLL+LRLLL+R++++
+LLLLRRR+L+L+RRRRLL+RL++RRRR+RLLL+++LLR+LLLL+LLL+LLLLRRLLLRLRLLLRL+RRLR++RRRRRL++LRL+LLRL+RL++L+L++R+LRR+R+R+++L+L+RRR+L+R+R++LRLL+LR+RL+LR+RLLLR+LRRRRRLLRRRLR++LLR++RLRLL+R+LLRLLLLLR+R+R+LR+RLRR+++LRR+R+LR+L++LL+++RRR++R+LLRL+++LR++L+L+LRR++RLLR+LRLLL+LLRRR+LLLRLRLLRRRL++LLLRLL+LLLRLL++LLR+LRLL+RR+LRRRLL+LRR++LLRL+LLLR+LLLLLR+
+RL+RRRR+R+LLR+LRL+LRL++LL+RLRL++LR+++L+RRL++RLLR+L+R+LRR++L++RR++R+R+LLLRRR+L+LL+LR++RLLLRRRRRLL+++++LR++R+++R+RRL++RLL+L+L+++LRLLRL+RLLLL+L+RLLLL++LRLR+L+L+R+L+++LLR++R+++R++LR+LLLL+RRL+LL+RRRR+LRLL+++++R+RLLRLRLLLRLL+LLRRRRRLLLRL++LL+LLR++L+L+R+LLRR+L+RRRLR+++RLLLLL++LLLRRL+R++LRRR+R++RL+R+LL+L+R+RL+R++LLLL++++RLRLR+RL+RLLR+
RRRL+++R+LLLLLRLR+L++R++++RLRLRR+L+LRRLR+L++RRRR++L++R++RRLLLRRRRRLLR+++R++LLR+LLLL+LR++RL++LL++RLRRRLL+LR+L+RL++R+LLRR++RL++R+LL+LR+LLLL+L+L++R+LLL++++++LRL++L+RRRRLRR+L+RLLLL+RLRLRRRLR++R+LRLRLRLRRLRRRLRL++R+LLRR+RLRL+RLLR+R+++L+L+RLLRR+RRLLRRLRRLRL+LLLL++R+RR++R+RL+L+LRRRLL+LLRL++RRLLL+LR+R+LL+RRRRLL+RR+LRRRR+RLR+RL+L+R+LRLR
LLLLRLLRR+RRRLRLRLL+LLL+RR+R+R+RLL+L+RL+LLR++LR+++RRRR++R+RR++RRLRRRLL+RLL+RRLLRLLL+R+LR+R+++LL+++RLRRRRRL+++LL++LRL+LLRL++LL++++LR+LLRR+L+RL+L+LLLLRLLRRRRL++RLR+R+RLLLL+R+LLRRLRRR+R++LLLRR+RLRLLRR+RRL+LL+++L+LRRLR++RRRR+L+RLL+LR+R++LLR+RRLRRLLRL+L+RLLRLL++LRLR++++RL+RR+RLLR+RR++RLRLL+R+LLLR++L+RLLRRR++RL+R++RRR++RL+R++RRRLL+LL
LL+L+R+LLR+L+++LL+R+LLL++RLL++RRRLRLLLLRRLLR+R+RLLR+RLR++RL++LR+RRLLL++LLL+R+R+++R++L+RL+R++++R+LRRRRR+R+RR+LRLRL+RRRLLRLR++LLLLLRLR+L++L+L++LLR+++LR+LRR+RR++LLLLLRR+R+RRRRLRRRLLR++L+R+LL++RLR+L+LLRLLR+L++L+LRL++LLLRRL++LLRLLLRR+RL++++R++++LRR+R+RRLLRR+LR++RR+L++RLR+LLRRLLR+R+L+++RRRLR+R+R+RR+RR+L++L++L++R+LL++L+LLRLLLL+LRLRRLL
RR++R+RLRLRR++++L++L+R+R++LR+R+LLRRRL+++LRRRL+LR+LR+LR+LRLL+RL++LRRL++L++LL+L+L++R+LR+RL+++RRLLLRLL+RLR+L+R+RRLRLR+R+LL+R+L+L+RLLR+RLLR++RRR+L+LL+RL++LLRRRR+RRRR+RRRL+L++RRL+RLRR+L+LRR+LLLLL++L+RL+L+LRLL+RLLL+R+RRLRLLL+LRRR++++LLR+LRRLRRLR+L+L++RLRRLRRL+LLL+L+L+R++R+LRLLLLRLL++++++R++RRLLRR++++LR+R+L++++++LRRLR+LRLRLRRL++LR+R+R
LRLRLRLLRLR+LLRRLR++RLLR+L++LL+LR+L+R+LL+LRLRR+R++++L+RL+LR+LRR+RRR+L+LRLRLLLR+RLL+RRL+LRLRL+LL+LRLLRR+L++LRRRLLRRLLRRLLRR+R+RRR+L++RRR+RLRLLL+RLR+LRR+++++R+R+R+RRRLR+L+RRRRR++RLLL++RRRRLLLRR+LL++LR+LRR++LLLLRRRR+L++R+R++LLLRRL+L++LLL+LRRR++L+L+L+R+LLLL+LR+R++LR++RRRLLL++RR+++RR+RLLRR+RLRLR+LRLR+RR+R+LRLR+R+R++++LRL+LLRLLRRLRLL
RRR+RLLLRL+RLRLRRLL+LLLRL+++++LLL++LRRRLR+R++RLL++RL+LL+++R+LLLLLRRRRR+LRL++R+L+R+RR+LRLLLRLLR+RR+RRL+RL+LLLLR+RLL+RL+LL+R+LRRRRRLRLRRL+LLR+RR+RLLR+L+L+RRR+RLL+R+RRLL+L+RRRL+LRLLRRLL+RRR+LRRRL++LRLLRLLL+RRLL+RLL+LRL+LRRRRRRLRLLRR++LRLLR+++LR+R++R++LRRR+R+L+R++LR+R+LLR+R++RL+LRLRLRR+LLRLL+LRR+L+LRLLR++L+RLR++LLR+RRRLLLL+++LR+R++
RRR+LLR++RR+R+LLLL+RL+LLLR++RR+RRRRR++RRLL+RL+LLRLRRL++L+RLL++RR+LL+L+RLR++++LRLLRL++RR+LR++RLLRRRRRLRRLLRL+LRL++RLLRR++R+LR++LR++LRRR+RL+LLL++R+RRLRRRRL+++R++RRR+LRLRRLRRLR+L+LR++RR+LLRL+R++RLLRR+++LLLRRR++L+RL+L+LL+LLLLRR+RLLLRLR+RL++++RLRLLR+LLR+L+LR+RRRLRLLLL+R++LR+LR++L+L+++LRLL++L+R+RLL+RL+L+LLRL+R+L+R+LL+RL+LLL+RLLR+L+LL
LRL+R++RR++LR+++R+RL+++RL++++RL+RRRRR+LRR+R+RRLL++LL+++RLL+RLLRLR+LLLR+L+RRR+R+L++RL+RL+RL+RRL+RRRR+L+RR++LR++LL++LLL+RLRLL+LR+RRR+R++RRRRRL+L++++RR+LLL+RRRRRLRLLRL+R+R+LRRRRRR+++R++RL+LL+LL++LLLLL+LLLLR+++RR+LRLLRR++LLLRL+R+R+LR+L+LRRRLLLRLR+R+RRLL+RLL++LR+R+LRRLLRLR+RLL++L+LRL+RRRLRL++LRRLLLRR+L+R+L++R+LR++R+L+RL+RL+LLR++LLR+
R++LLR++RLLL+++R+R+R+R+RLLL+RRLR+++RLRRL+RLR+RLLLLL+RLR+LR+RRRL+L++++R++++R+RRLLR+RLR++++LLLL+L+L+L+LLLLLR+++RLR+R+RR+LL+L++LR+LLL+LRRRLRL++LR+++LR++RLRLRR+++LL++LL++LLL++LRLRL+LRRRR+++LR++RR+R+L+RL++RRLLRLLR+LLRRLLLRR++L+LLRRL+R+RL+R+LL+LRR+LR++RL+LRRRR+R+R++++RRRR+LRR++RLRL+LLLRRLRLR++R+++L+++LR+R+++RLRRRLL+LR++R+LR+RRLR++RRR
R+RLL+L+RLRRR+LLR+RRRRL+L++L+LRLR+++LR+LL+LLLR+LL+L+++RRLLR+RRRR+RLLRRRLL+++L+RRLLRL+RLRL++R+++RLR+R++RL+RRRRRL++LRLL++L+LR+RLRR+++RL++L+L+L+LRRR+RRRRL+LL+R++R+LL+R+RL+LR+++LLLRRR+++LLLLRLL++R++R++L++R+L+R++LRLR++L+LRRRL+++RR+RL++L++R+L+RLRLLR+RLRR+RRRLRRLRL+LRLLLLRRLRL+++LL+R++++RLL+LRLL+LRLR+RRRRR+++L+++RRLRLLLRR+RRLRL++RLRRR
R+LLRLRR+L+LLLLR+RL+R+LLRL+R+LLLR+RRL+RRLR+++LRRR+L++LL++LRRLL++RLLR+RLLL++++R+LL++L+LLL+RLR++R+L+LLRL+L+LR+++++LR+LLL++L++L++L+R++LRRLLL+R+++L+R+RL+L+L+L+RLRL+L++LR++++RRLLL+LLR+L+LLL++++RRRL+R+RRLLR+LR++R+LL+L+RLRLR+L+RRR+R+R+R+LRRLL+LRLRR+R++++LRRLLL+LRLLRRL+RRL++RL+LR+LLRRRR++LLLRRL+RLRRRRRLLL+++LR++L++RRLL+L++R+R+LR+LRLLRR
R+L+LLLLRLL++++RLR+L+RR+RR+LRRLR+++L+++L+RLR+LLLLR++++RLL+LL+RL++L+L+RLLL++RRLL+RL+L++LL+RLLR+LLL+RLRRL+RRL+L+RRRR++++++RRL++R+++LLR++LRL+RLRRR+LRLRLRRRRRRL+RRRLLLLRRRRR+RLRRR+LLRLRLLRLRR++LLRL+RLRLRRRRLLRR++R++++++R++LRL++++R+LRLL++++++R++L+LLLLLL+L+LRRRR++LL+RLR++LRR+R+L+RRL+LLR+R+LL+R+R+LR+R+LLLR++RL+L+LRRL++++R+LR+LL+RLLL++
R++RRL+L+RLR+LR++R+++RR+LLLLRL+LL++LR+LRLLRLLLRRLL+++LRRL+++RR+LRLLRRLL+LLLR+RRL+R+RRL+LLLL+R+++RL+LRLRL++RL+LL++LLRLLRR++L+RRLRLLLRLL+LRRRL++LL+LRLRL+L++RR++LR+LRRRLLRRL+LRRLLR+RL+++++RRL+L+RRR+L+++RRL+L+LR++++RL+LRR+L+LLLLL+RRL++RRR++LLR++R++RR+++LR+R+LR++RRRL+L+L+RRLRL+LRR++LR++RRLR+++LLR+++++RLLR+LLRLR+L+R++LR++++LLL+RRR+LL
L+R+L+++RR++LRRLLLRRRRRL+RL+LRRLRRLR++L+R+RRLLLRL+RR++RLR++LL+LRLLR+LLL++++RRLR++LL+LL+++R+LRL++R+R+RR+L+L+++L+L++R+LLR+LLLRL+RLR+RR++++LR+L++LL+LRLLL+++RLLRR+LRR+LRL+LRLLRLRR+LLLLL+R+LRRRLLLRRLL+++R+RR+RRL+++LR+LRRRR+LL+LLL++L+L+++LRRRL+L++LL+LR+++LRLRRL++L+LRRLLLRR++LLR+RL+L+++RRRLRL+RR+R++LRL+++RR++RR++L++LLLL+RL+RLL+RL++R+L
RRR+RRLLRR+RLRL+++R+LRL++LLL+RL+L+L+RL+R+RLLRLRRL++R++L+R++RL+R+RL+L+RR+++LR+R+RRLL++LLLLRRL+R++R+LRRLRR+++R+++RRL+LRRRRRRL+RRRRL+LLL+LRLLLR+LR+RL+RLRLLR+R+LL+RL+L+R+LLLRRLLL+RRLRRL+RRR+RLRL+L+RL+RRL+RLR+R++LRR+LR++L+L+LLLLLLLL+LLR+L+RLR+LRLL+++R+RRRLR+RR++RLLLR+++RRR+LLRL+R+LL+++R+L++LLR+LLLLRR+R+R++R+RLLLLLLRR+RRR+RRR+RLLLR+R
LRL+++RLRLRRL+L+R+L+L+LLLR++++RLRRRRRR+LL++RRR+RR+LRRRRRRR+RL+RRR+LLRRL++LRLLRL+R+LLR++L+R+LRRL+RL++R++RL+RRR++LR+RRL++RL+L+L+L++L+++LLRLRL++RRRRRRRR+L+RRLR+RLR++R+LLRRLRLRRLRLRL+++LLLL+R+RLRLR++LR++R+L+L+L+RR+L+RLL+RLRLRLLL+RL+LRRRLRRRRRR+R++RRLLR+R+LLR+RLL+RL++RR+LRRLLRLRL++LR++++LR+R+R+LL+++RLR+RLRRRL++RR+RR+LL++LLRL+L+R+RLR
RRLRLR+RRR+L+RL+R+LRRRLLLLL+LLLRLRLL+++++R++++R+LRL+LL+R+R+++L++RRLLLR+RRRRRRLR++++RLRRLLRL++L+RLL+RLR+L+RLLRLL+R++LLLRLL++R+R+LRL+LRR++L+R+LLR+++++LRLRR+L+L+LLR+++R+LR++R+RRLRR++RLL++LLRLR+RLLR+R+RRLLRRR+LR++++RLLL+L+RR++L+L+R++++++RLRLLR+L+R+RL+LL+LLL+++++R+LL+RLLLLR+LRRL+++LRRRLRLLRRRR+LL+LLL+++R+LLLL++LLLLLL+LR+LRLLR++LLR+L
R+RR+LRL+LRL++RRL+LRL+L+LRLL+LR+LRLLLRLLL++R++RR+L+RRL++++L++++R++L++RRL+RL+RLR+++LRRL+LL+LRL+LLL+LRRR+R+LRLRLLLL+R+LRR+RR+RL+LLR+++++LL++RRL+RL+R+++R+RL+RR++RRRL+R+L+L++LRRRRLLRRR+LR++RLRR+R+RRLLRRL+LRLRLRR+L+RLR+R+++RRLRRL+RR+LLR+R+RR+RLR+R+LRL+++LR++LRLRL+LL+R+RL+LRLRL++R++RRRRR+RLRRRLRRRRLRR+L++++RRLRR+++RRRL+R+R+R++++R+RR+
R++RRL+L+++RLR++RL+LL++R++RR+L+LRRLR++R+++RRRR+L+++RL+++RLL+L+LR+LRLRLR+RLRLRR+L+R++LLRRRL+R++LLR+LL+L+RLRLLRR+RLR+L++LRL+++++R++LLRLLLLR++RRL++L++LR+RLRRL+++RRLRLRR++RRLL++LR+++R+RRL+LRLRLRRRL+++L+RRRLRR+LRRL+R++LRLR++R+R+RLR++LL++LR+LR+++L+L++L+LLRR+RL+LR+RLLRRL++RRRL+LL+RL++R+++RLL+RLLRRLL++L+R+RRL+L+RL+LRLR++RLLL+L+RLL+LRRL
+L+L++L+LRR+L+RRRR+L+LLRRLR+L+RR+L++R+RL++L+R++LL++RL++RLR+RR+LLRLLRLLL+L++RR+RL+RLLLLL+LLRR+L+R++L+++L+L+R++RRLL++L+LRLR+RRLLLRRLLL+L+LLLLRRR+LRR+R+RRRRLL+L++L+LR++L+RLLRRLL++R+R+RRR+LLRLRLLLLRRL++LL+RRR++LL+LRLL+LL++R++LL+R++RRRLRR++L++++RLLLR+RLL+++RL+LRRR++R++RR++LRLLLR+R+L++L+RLRR+RRL++LLLRL+LL+L+R+R+RLR++RLL+L+LLL++LRLLL+
L+R+LLL+L+RLRLLL+LLRR+LL++RL+RLL++LL+RRR+R+R++RLRR+LR+RRLRR+++L+LRR+LL++RRRRLR+++R+++LL+LRLLR+RR+RL+R+LRR+LRL++LLRRRL++++L+++LR+LLRLLLLRLL+RRLR+R+R+LR+LRRRRLLR+R+L++R+LLLLRRLRLL+RR+RLLL+LR++LLLL+RLLR+R+LLRR+RRRLLLLRLRRL+RRLRRRL+L+LRRRR+RLLLR+LL+RRL+LRRLRRLRRL+L+R+LR++++LRR++RLRLRLL+LL+L+LLR+R+RLR+R++RL+RL++LR++LRR+LLRRRRRRLLR++
+RLL++RRLRRL+LL++LRL+RRRL+L+R+RLL++LLL+LLLLLLLLL++LRRLL+RL++L++LRL+LLLLRRL+LRLL+LLRLR+LR+RR+RRRL++LLL+++LR+LLLRLRL+RL+R+LRLRLLR++RLRRRR+L+R+LRR+RR+RRLR+++LRRLL+LL+RRLRRL++L++LLRR+R+++RR++LRLRR+RRRRLR+L+RL+R++LR+RR+RL+RRRRL+LR+LR+LRRR+LRRRRLL+LRLLLR+RRLLLRR+L++LR+++RLL+LRR+RLRRL+LLL+R+L++RLLL+LR+LLL+L+LRLLL++LR+LLR+LL+LLRLLL++LL
LRL++RR+++++L+LLL++++RRLRRR+RLLL+RLLL+RLRRL+++R+LL++R+L+LL+L+R++RRRLL++++RRLR++RLLLRRLRLL++++++RLRLR+++L+LL+R+RLL+R++++LL+RLRR+L+RR+LRLRRLL+L++RRRRL+RLLRRRRLR+RLLL+LRLLL+RR+++R+LLL+RL++LR+R+L+RLLR++LRRRR+LLRR+L+LRLL+LL+++LL++RLLLLLR+RRR++LRRRL++RRLRLR+RRL+RLRRRRLLLR+RRLRR+L++LLL++LRR+L++L+LR+++LRLRL+++RLLRR+RRR+L+LRLR++R++RRR+R
+RR++RRR++++LR+RRRRRL+++RRRRR+LLRLL+RRL+L++RRLRR++RLRRLL+LRLL+R+LL+LLR++RL++RLR+L+LL+R+RLLR+L++L+RLRL+L+R+RLLR+++RLL+R+LRL+LLRRRRLRLLLRL+LLL+RRRLLL+LRLRLLLLRLLRLRRLLRL+RRR+LL++LL++L++RLL++L+R++++R++LR+RLRRLRL+LLR+LLLL++R+++LLLR++L+L+++R+RLRRL++L+LL+R+LRLLL+RR+LLLL++R+R+LR+R++LR+RRL++L+LRL+RRR++++++L+LRLL+RR+L+LRLRRRLL+LLLL+R+RL
R+LRL+RL+RL++++R+R++LRLRRRLRRLR++++RL+R+RLR+L++L++L++RR++RRRRLL+R++RL++LRL++L+RRR+++R+LR++RLL++L++LRRR+LLL+LLRLL+L+++++RLR+RLLRRRLLR+L+RRL++RLL+++L+RL++++++RLLLLLR+RRLRL+L+RR+RL+RLLR+RLRRRR+++LLL+L+LRLLL+LRRLL++++L++++LLRRLR++LLL++RRRL++LRR++R+++++LRRRRL++R++RLLR++LR+L+RR+R+LLR++R+L+LLLLL++RRRRLLRRLRRLLLR++RR++R+++LLLRRR+RLL+R+
LL+RL+LRRRR+RLLR++RLLRR+R++R+R+RL+L+RLRRRRR+RR+RLL+L+L+R+L++R+L+L+LR+LLL++RLLL++LRL+L++LRRLL+LL+LLR+RL+LRRLLL++R+R+RRRL+RR++LLR++LRL++L+LR+R++L+LL+LRRL++LRR+L+L+LL+++RRLL+RRRRRLRL+LRRRRRLL+R+LLLL+LL+RLR+RLLL++R+++++R+L+R++++RL+R++RR++RRL++R+++++++L+++R+LLRRLR+RRL+RLRR+++RRL+LLLLLRL+L++++RRLL+RLRLRR+L+++LLLRLRR++RLRRL++++RRLRRL+
RLL++LL++L++RR+LR++RRLLRR++RR+LL+R+R++L+LRL+R++++RRL+LLRL++LL++++LRL++RL++RL+RLRLRLLLLL+++L+LLR+R++LRL+LL++LLL++R+RRR+R+LR+RR+LL+RRLR++LR+R+LRRL+LLR+RLRL++L+LRL+R+RR++LR+++LLRRL+R+++RRL+LRRRR+L+L++L++LR+RLRRR+RL+LR++RL+LRR+RR+RRLL+R+LLLL+L++RLL+R++R+L+RLLR+LLRRRLR+LLL+RLRLRRLRLR++LR+RRL+LR+RLLLRRRR+LLL+LR++++L+R+RLRR++++LRR++R+
RLLLR++LL+L+RL++++R++RLLRR+L++L+LRRLR+R+RRR+RRR++LL+LL+RL+LRLRLLLRL++LL+R+R+RR+L+L+L+RRL+L+++LLL+R++R+L+++R+RRR+L+L+L+L++R+L++L++++LR+RRLL++RRR+L+RRLLRRR++RRLRRLRL+RLRR+R+L+R+RLLLLRR+LLLLRLLRLLR+L++RRRRLL+++++LR++RLLL+RLL+R+RRL++R+RR++RLRLLLLR+L+L+++LLRLL+LRRL++R+RLRRLR+R+LRRRLLRRR+LRLLR++LRLRLLRLL+RRLLLLLRLLRRRL++RR+LL+++R+RL+
+RLRLLLRRRLLLLR+LLLLRLLL+LR++RLL+RLL+++L+++LRLL++RRRRRR++L+++RLLLLLLR+RRR++++LL+L+RRR+L+LR+LRLLRR+RLR+RR+RLLL+RLRRL++R+RLR+LLR+LRRLRLLLLR+R+LL+++LR+RL+LRL++LLRRL++R++L+RLRLLRR+RLLL+++R+LLRL+LRRLRR+LLRRRLRLRRRR+LLL+RRR+LR++L+LR++L+L+LLLR++R+++RR+RRLL++LRL+RLRR++RLRRL+LLRRRRLLRLR+RLLR++++R+LL+LLLR+L+L++R+L+R+++LLLLL+L+RL+LL+RR+++
LRRLRLLR++R+R+RR+LRLLRLRLRRRLL+L+LLLLLLR+RR+RLR+RRR+LRLLR+R+RLL+L+L+LLLRR+RLLRRLLLLLR+R+LRLR+++LR+LR++RR+LLLL+L+RRRR+LRRRRLL+LRRL+RR+LLL++R++RRR++LLLR+L+RR+++R+RL+RLL++L++L+LL++RR++RL+RR+++LL+R+LRRLLLRR+L+L+RLLR++LRLRL+L++L++RLR+LRR++RRRL+RRRRR+++RR+RLLRRRR+L+RLLLL+R+LLR+LLLLL+R+RR+LRL+LRRRLLLLL+R+R+LRL+LRL+L++RRLRRLRRR+R+LRRRR
R+LRRRLR+LLRRLR+RRRLLLL+RLRRLRRLLLL+L+L+R+R+R+++L+++RLR+R++RLRL++L+LRR++LRL+LRRRRLR++LLRR++++LR++RLR+LR+R+R++RRL+++L+R++RRL+RL+LR++++R+++RR+R+RLRRLLL+LLRL+LR++LL+LRRR+R+R+RRRL++LRLR+++RLRL+R+RR+LRRL+++L++LRRLRR++LR+++R+R+RLR+LRL++RLRL+LRLL++LRLLLRLR+LRLLLRRLLLR++++R++R+++R+LLRR+RRRLRL++RRLLLRR+RLRLLL+L+++LLRLRLRRR+++RLLL++RRLRL
++RL+L+++LR+L+RRRR++RRRLLLR+++L++++RR+LR+R+LLL+RRR+L+RLL++RR+++RRR+++L+LR+RL+LL+R+R+R++LRL++LLLLRRRL+R++LL+LLLRL++L+RLLLLLR++LRL+++R++R+RLRRLL+L++LRLRR+RL+RL++LRRRLLR+LL+LLLRLRR+++LRRRLRLL+LR++RL+RL+L+L+RRL+L+R+RLLLR+LRR++LL+LLLRL+LR+L+LLLR++LRRRLLLR+LR+LR++L+RLL++RL+L+LLLR++LLR+++L+++RLR+L+LLR++LR+RLRL+RRL+R+R+RLR+LLL+RLLLR+LR
R+LLRL+R+RLR++L+LLLLL+RLLL+LL+LLLLR+RLRLL++++RL+LL++RRLRLR+LLR+R++RR++RLLLRLL+RLL+++L+RLLR+LL+LLRLR+++LL+L+RLR++++L+RRL++R+RRLR+LRLRLLRRRLLLR++RL++++L+RR+LL++LR+R+LRRLLRRR+L+LR++R++RRLL+L+++L+L+++LRLRR++LRLL+RLLR+LRL+R++RL+LLR+LRL++++LL+RLR+RLRLLR+RRRRRRRRRRRLLRL+LRL+L++++LLRLRRRR+R+RR+RL+RRRLRLRLR++LL++RR+LL+RR+RRRRLRR++RLL+RR
LR+++RLRRL+RRRRLLLLLR+++RRLR+LRLR+++L+++LRLRR+LLLRLLLR+LR+++LLR+++L+RRRL+RLL+RLR++LL+R+LLLLRR+L+RLLRRRLR+LL+L+RLR+L+R++RRRLLLLRLRRLR+LLRRR+RRR+RLL+RL+LRRRL+RLRRLRRRLRRRL++LRLRLL+RLLLRLRLLRLR++RL+L+LR++++LLRRR+LLL+RLR+RL+R+RRLR++LL+R+LL+L+L++LRLRRLR+R++R+++L++LLRL++LL++RLR+LRR+L++L+RRRRRLR++L++R+R+L+RR+R+RR+LLRRLL++R+LR+RLL++R+L
LLR++LL+L++RRLLR+LR+LLL+++R+LL+LLLRLL++RR+RL+LLR++LLRLLL+LLLLLLLRR++++R+RL+RRLRL+L+++LL+++RLLL+R+L+LLLR++LLL+RR+++RLLLL+L+LLRRRR+LLRL+LRLL++LRLLRL++LLL+LLLLR+++RRLRRL+++++++RRLR+R++++LRL+RR+++L+LL+++++++RLLL+++LLLL++RRLRRLL+RLLLLL+RRR+LRL+RL+RRRL+RLRR++++LLLRL+RR++RRR++RLLL++RL++R+L+++LRLLRR+RLL+R+LL++LL+LRLRL+R+RLL+R+RRLRR++LR
+L+RRLRRL+RRLL++L+LLLL+RL+RLR+RRLLL+L+RLLRLRRL+RL+LLL++RLR+L+LRRL++LL+RL+R+LLLL++LL+LRLRRRL+RLLLL++++RLL+RRRLR+L+LRL+LR+R+RL+LRRRR+R+++++++L++L+RRLLLLL+RRRLL++L++LRLL+LLLLRLL+R+RL++LR+LR++RRRLR+L++RLLRLRLR+LR+L++LLRRR++R++R+RR+L+LRRR+RRLLRRLR+++R+RLLRRR+LL+L++LRLR++R+RRRRRRRLRRL+LLLL+RLLL+R+LLR+R++R+LRLLLR+LRRRRL+RRLR+LRLLL++LL
RL+RR+RLRL+L+LL+RRRRL++++LLRR+LRRR++L+LLRLR+RLRL+R+LLLLLL+LRL+R+++LR+++++LR+RLR+++RLRLRRL+R+LLRL+LL+LRL+++LR+++L+RLRRLLR+R+LLRRL+LL++RRLRL+++RLRRRL+++RR+LLL+LLRLLR+RLRLLRRLRRRR+RLRLLL+R+LRL+RL++RLRR++L+RLRRLLRLLRLLLL+LLL+LLLLLLRL++LLRRL+L++LLR++R+LLR+LRLLLL+LRLRRR+RR++R+LRLL++RL+RR++RL+RLLLR+LLL++LRRRLLLRRLRLL+++LLRLRLLL+RR+RL+
RLLRRR+R+LL++RR+LLL++RRL+L++LRRRRRLRRLL+++LLL+LR+R+RR+L+L+RLLL+LRRR+RRRL++LRRRR+LL+L+++LR+R+++RR++L+LRL+RL++L+LRRR+R+R+RRLLLRLL+L++R+LLR+LLRLL++L+L+RRLRL++RL++L+LR+LL++R+LLRRL+L+RRLLR++RRRRLR+RLL+R+RRRLLLR+L+RL++RR+LRR+R+LRRRRLL+RRL++LLRLRRRR+RLLRRR+LL+L++L+RL++LLR+L+L+RR+RLLR+L+LRRRRLL+RR+RL+LRR+L+LRRLLR+L+++++LRL++RL+RLLLRRRL
R+R+RLR+RLLRLLRRR++RLRLRLR+RLL+RR+LLLLRLLR++++LRLR+L+LLRR+L+LRR+R+++R++++++++LL+LL+RRRRRR+RR+LL++RL+R+LLLRRLL+LRLR+R+LLL+RRRRL+LLRR+RRLRRLRR++++LL+RLRRLL+LRRR+RL+LRR+R+R++LLLLR+RR++++LL++RR+R+LRRL+LRL+RR+RR+LRL++RLL+++++RRRLR+LL+L+RRR+RRRLR+RLLRRRRLL+++L++L++L+LRRL+RLR+RLL+RL++RLR++++LR+RLR+RRLRRRRL+LL+LRL+LR+RLLR++LL+LLRLRLLLL
++RL++LLLL+++LL+RR++RRLLLRL++++LR++RLLRRL++LRRR+R+RLLR+LRRLLLRRL+RRR+L++R+LL+RLLRLRRRLL+R+RR+RL+RRLRLRRLL++RR+LLLR+R+R+R+R+LLL+RLRLL+++RR+R+RR+RLL+LRL+LRRR++RRL+R+++RR+L++L+R+RLLLL+LRLL+RL++RLR+L+RR+++R++RLLRRL+R+R++RLR++RRRRRLRLLLLLRRLRLRLLR++LRL+RLR++RLRRLRR+RLLLL+LR+RL+L+LRRR+RR+++RLRRL+RR++RRRLR+R+RRRRLR+RRL+RR+R+RRL++LLRRL
+LL+RL+LLR++RRRLLR++R+++LR+R++L++++L+RLLL+R+LLLLR+LR+RL+LR+++LRLR+LLRR++RL+++++L++++++RL+L+RRLLLLRRL+++RLL++RRLR+R+L+L++++RR++RR+L+RRRLR+++L+RL+RRRRRLLR+RRL+R+R+LL++RRLLLR+++RLLRRL++LLL+++LLRRLRLL+L+LR+LL+++++RLLRLRRLRLL+LR+RRL+++LLLR++LL+RRRL++RLR+LRLL+++RRL++R++L++RLR+LRRLR+L+RLR+RL+LRRRRLL+R++LRLLL+LL+LRRLRL+R+LRLRR+RLL+RLR+
LRL+++R+R+LLRLR+++++L++RL+R++RL+LLRRRLLL+RRRLRRRRRLLRL+L+LL+++R+RLLL++R+L++RR+RRR+RR+RRR+R+LLLRRLL+LRL+++++++LLRLRL+RLL+R+R+L++RLRRL+LR++LLLR++LRLRLR+LLRLRLRL+RRR++R++RLR+L+R+LRL+++L++RL++LL+R+++LRLRL+LLRLRRRRRL+RLRLLRR++R+R+R+L+RRR+RLRLRRLL+LRRLRLR+LRLRRRR+LRRRR+LRL+R+L+++++L+LRRRL+L+LLLLL+LRR++R+LRRL+++RRLLLRLRLLR+RLRRRRR+++L
RLRL+R+LLLLLLLRLLR+LRRRRLR+++L++LRLLLLL++L+RRLRRL+R++R+LRLRL+R+LLLRRL++LRL+LRLLLRR++++LRL++LRRL++LR+RLLLRRLL+LR+++LR+R+LR++RRL+LL++R+L+R+L+LL++RRL+L+RLL++RLLRLR++LL++LLRLR+LL+++L+L+LR+LLLLR+RL+RL+LLLLLR++++++LRR+LLRR+LLL+RRR++R+++L+RLR++RL+RR+RL+RRRRLRLRLL+R+++RL+L++++LRLL++LLRLLL++RRLLL+++RRRR++RRR+R+++RLL++R+RLLR+RL+++RLLLL+L
++++LR+LLL++L+RRL+L+++L+R++RLL+L++RL+RLR+LRLLRLLLLLL+R++R+LR++LR+LRRLR+RR+RLLRRLRRRLL+LRLLR+RL+L+LLLL++LLLRL+LRRLRRR+LRR+L+RR+++LR+++RLLLRLRLRLRLRRRR+RL+++L++R+R+L++RR+RRLRRR+LRRRLL+LLRLRLLL+RR+++R++LRRLRRLR+R++R+RLL+LRR+R++R+L++++RRL+RLLRRRR++L++LLR+L+++RRLLR++R+RLR+R+R+RRRRR++LRL+R++R+RRRL+LR++RL+LRRLL+R++++LL+R+R+++RLR++R+LR
RR++R+RRRR+LRLRLL+RRLR+LLRLL+RR+LLRLR+LR++LRLLR+RR+R+RR+L+RRL++RLRRL+RL+LRLLRRL+++RLRLLLRRLRRL+L++L+++LLLR++LRLRRRR+++++LRL+L+R++RRRL+LL+LL+++R+R+LLLRRRLLR+LLLLR+L+L++LR+LR+RLLL+RL+L++LR+R++LLLL+RRR+LRRRLL+RLR++RRRLLLLL+L+RR++RRRL+++R+R+RL+L++LLLLRRRLL++RL+L+++++++LLRLLRLR+++LRL+LLRL+++RRLRLLLR++LRLLLL+LLL+RL+RRLLRLRRLRR+R+LL+L
L++RLLRRLLLR+RLLRRRL++RRL+L+LRR++RLRR+R+++LRR+RRR+LRLRRLR+RLR+LLRLRL+++++R+R++RRLLLR+LL+R+R+LRRR++L+LL+L+++RL+++L+L+LLLLL+R+R+RR+RR++R+L+LRRRR+RL+RLRLRRLLR+LL++LR+RLRR+LLL+RRLL+RLRRLRR+R+RLR+R+++RLRR+R+R++LRRRL+L+R++RRRRRRRL+R++LRLRR+RLLLRLR+LLRL++L+++RRRRR+L++RRLL++L+R+LRLLR+++RRRLL++RRRLRLRRL+R+RLR+++++R++L+++RRL++R+LLLLRRLLR
RR+LRRL+R+L++LL++LRRL+L+LLL+RLL++RRR+LR+RLRR++R+R+LL+RRRRR+RRR+RLR+RRLR+L+LL+LRRLRRL+LLLLL+LRLL+RLL+RRLL++RR+L+LRL+RL+L+RL+RL++RR++RL+++RL+LR+R+LR+RRRRL+L++L+LL++LR+LR+LLR+++RL+LLR++RLR+R+RLRRR+L+R++LLRR++LL+LRRR+LRLL+RL+L+LLL+RL+RLL+RLLLLLLRLLLLLLR+R+RLL+++LLRL+RLRRLLLRLRL+LLLL+R+R+RRL++R+++RLLLRRLLLLLR+++RLRLL+R++RLL+++L+L++R
+LL+LLL+RRR++LLRLLRL+RRLLR+RLLLL+L+L+L+R+++++RR++LRLLLRL+RR+RLRR++LL++LLLR+RLL+R++L+L+RRL+R++RR+L++R+LRLR+L+L++LRLRLR+LLLR+LR++L++R+L+++RRRL+LR+LRRL+RRRRLLR+RR+++LLR+++L+RL+RLRLRR+RRR+RLR+L++LR+R+LL++LLRRLLR+L+RR+++R+++L+L+LRR+R++LRLR+++L+LL+RL+L+RRRLLLLLRLRRL++R+LLRRRRR+L+LLLL+LR+R++RLRLRRLR+RLLRLRR+R+LRLR++R+LRL+RRRR+RL++LLRR
LLRL+RLRL+RR+LLR+L+LRRL+LLRR+RLRLR+L+LRLLLR++LLRR++LRRRLRL++RRL+LRLR+R+++L+LRR+++R++RL+LRRRR+++LLR++L+LLRLRLRLR+LL++LR+L+R+++++++RR+L+L++R+RLRRR+LLR++RRRL+LRLL+LRL+RL+R++R+RRR++LL++R+L++LRLR++LLRL+RRLLRLLR+++RRR+RR+LRL+++R++RRRLR+LRRRLRRRR++R+LLLLL+LLLLLRRLRLL++L+RLLLLRRRL+RL+RRRLLLRLRLL++LRLLR+++L+RL+LLLR+RRLR+LLR+RRLRRRLRLLRL
+R+LLL++++L+RR+LLRR++LRRR++++R+L+R++LR+L+L++L+RLRRLRR+++RRRRRLR+RLLRRRRLLRRRLLLRRL++RLRR+RLL+LLL+RRLR+L+LRL+LR++L+RLRRLLLR+LRLLL++LRL+L++R+R+L+L+RLRR+RRRLRRL+R++L++L++R+R+R++RLRRL++R+RLLLLL++LR+RLLRL+LL++L+++R+RL+RRR+RRRL+RLRRRRL+RRRR+LLL+R+LRRL+L++LLRRRLRL+LRRLRLR++RR+LLRLRL+RRL+R+++LLRLL+L++RRRR+RRLR++LLRRR++RRRRLR+++RLL+++RR
RR+L+RR+LLR+R+L+R++L+RRRLLL+++RLLLRLLL+R+RLLRRRLLRLR+RLR++LRRLLRLLLR+RLL++RRRLLL+++LLLLRLRRL+RLRLLRRRRRLRLLLR+LLRR+LLRL+R++++LLR+++++LR+LL+RLRL+LR+++R+R+R+RRRR+L+LLLLLR+L+RR+RLL+R+++R+LRLL+LLRRLRLLRRLLLR+R+RR+RL+RLL++RR+LLL+L++R++++LRRLRLLR+RLRLLLLL+LRRL+LR+LL+RLLRRLLR+RLLRLLLRRL+++RLLLL+R+LRR+RL++RRLR+L+LL++RRRL+R+RRR++R++++RR
RRL+++++LLRRR+L+++L+RR+L+++L+RR+LL++++++L+LRLLLR++RRRLR+++RRL++LRRLRLL++RLLL++LRLLR+RR+L++RLL+LL+LR+LLR+RRL+L+L+RL+LRL++RLLLRRLLR+RRRRR+RL++R+LLLRR++LLRLRLLL+RLR++L+LRRR+L+R++L+LL++RRL+LLR+RRR+LRRL++RLLLR++L+R+L++++RRR++R+LRR+RRRLLLLRRR++LLLRL++RL+LRR+LRRR+LR+R+L+LRL++LRLRRL++LL+++RLL+L++RL+RLR++LRL+R+R+L+RRL++L+L+RL+RLLLR+LLLL
LL++RRLLR+R+R++RL+LR+LL++RLR+R++LR+LLLL++L+R+L+++RR+RR++R++++LRRLRR++LRL+RRRRLLRLRRRRLLLRR+RLRRLRL+R+R++++LR+RR++L++R+R+R+RL+++R++RLR+LRLR+RL+L+L+RRRR+LL+R+RRR+LR+RLLR+LRLR+R+RRR+++L+RRRLLRR+LR+LLL++R+R+LRL++R+RLLLRRRL++RRLRRRLRLRRR++++L++RLLRLL+RR+L++L+R+++L++++LR+++R+L++L++LL+LRRLRR++RR+LLL++R++LLR+RRRRR+R++R+LL+RR+R+L++RLRLR
LLLL+LL++RRR+L+R++L++L+R++RLR++R+RR+++L+LLRL+L+LR++R+RLLL+R++RRRLRL+LRLR+LRRRLR++R+RL++R+LLRRL++RL++RL+R+L+RRRRR++LLLRRR+LR+L++RL+R+R+LLLLRLR+LLLL+RLLLR+RRRR++RL+R+RRR+LR+L++RRLL++L++L++L+LRRRR+LRR+LLL++++RRRL+RLL+LRRRRLR+LRL+R+++L++R+R+RR++LLLRR++L++L+LR+LLLR++RRR+RLLLLLLR+++LL++L++++LRRRR++R+LLRLRLL+LLRR+LRR+LLLRL++++L++R++LL
LR++++LL+++R+LR+L+R+R+L+LLRR+LL+R++R+L+LLLLLRLRLR++LL++LRR+R+LL+L+LR+RL+L+RRRLRL+RR++++LL+RLRL++RRR+RRL+RR+LLLLLL+LL+R+++RR+RLRL+LLLRLRRLR+R+LLRRRL+RLRRRLR++LL++LL+++LL+LLR+L++R+LRR+RLLRLLR+R+R+LLL+L+LL+LLR++LLLRRRLL+LRLR+R++L++++L++R+L+R++L++R+LLLLLL+R+RR+RRRL+LLRL+RRL+RLLL++RR++R+RLRLLR++L+R+LLLLRL+L++R++LLL++RR+RL+RRRLR+L+RR
+L++L+RRLL+RL+RLRLL++RLRR+RL+LR+R++L+LLR++LLLL+RLL+RR+R+++++LRR+RRLRRRRLL++L+LLRLRRLRLLLL++L+L+L+LL++RRLL+RR+LR+RLL++LLLLRLL++RRL+RL+LLL+LRR+++RRLL++LR+L++LLRRR+RLRLRL+R+L+R+R++LRLRL+LLRR+++LLRLLLLLRRRRRLRL+LLRL++LLRL+RRRRR++LLRLLRRRL++R+L+RRLR+RRRR++++L+R++RRRLLRR++R+LL+LRRL++R+RLRL+++L+R+R+LR+LLRL++R+RRLLLR+++LR+RLLLLL+LRLLRR
L++RLR+L+RR+RL+RLR+RRLRRR+L++RLL+LLLLLRR++++LR++L+RRLRRLL+L++++++R++LRR++LLL+L+++++R++RLR++RL++R+R+LLL+R+RRL+RLL++RRR+LR+RL+R+++RL+R++++RR++R++L+R+LR++LR+RLRRLL++LRLLL+RLRLLLL++R+L+LRLLR+RRLLRRR+LRLLR+++LLR+LR+RLR+RLL+RR+L+++L+LRRR+RR+RR+RLL++RR++++LR++LRLLLRRL++RRL++LLRR+LRRR+RLRLLL+RL+RRLRLLRRRR+LRL+L+L+LR+LRRL+RL+LLRR+LLR+R+
L+RRR+LRL+L+RLRLR+LRR++L+RR++L+LR++LRRLRR+RR+RL++L+RLL+++RLL+LLLR+L+LLLLLLLL++LLRRL+RL+RLLR+RL+++R+LLL+L++L+LRLR+RRRRLLRRLR+LLRLRLL+RRLL+++RR+RL+++RRR+RL+RRLL+RRRRLLLL+LLRR+LL++L+LLRL+LLRLRLRLLRR++L+++LLLRR+L+LL+L+R++RL++L+++LRLLL++RLLL+LL+LLRL++LL+++++LLR+++RLLR+LL+RL+++RL+R+++L+R++++LRRRR+L++R+LRLRLRLRL++LL+LRRRR+++LLLR+LLL+R
RLLRL+RLR++RRLLRLL+LR+RRLRRLRR++LRRR+LL+++RL+R+RL+RRLRL+RRRRRRR++++RL+L++RRLL+L+++LRLL+++L++L+RL+LLLR+R++L+LRL+LL+LRRLRR+LLLLLLLRL++LLRRRRLR+L+RRRLR+LL+L++RLL+++RRRLLRL++++RLR+LLRLLR+LRRLRLL+++LLRLLLLRRR++LR+++L++L+++RL+L+LRR++RRRRLRLRRR+LRLLRLRLRRL++RRLRLRL+R+R+L++L++RRRR++R++L+++RRRLLL++RL+LRLRLRR+LRLLRLL+LLRRLL+RL+RLRR+RRL++
+LLL++RRRLL+LL+L+LR+RL++L+L+RL+R+R+LLRLL++R+LLRL+LLL+LRL+RRRLR+L+LRLR+L+RLRR+R+L++++++LR+R+++R+++LR+L+R+LLL+L++L+R+++R+L+LLLRLLR++RL+R++L+L+RRRLL+++LRRL+L++R+RRRRLRR++RLRLRLLLLLLRRRR++LR+++LRL++LLRR+LRLL+L+R+RR++RRR++LL+LLR+L+LLLLL+R++LLLLRRRLR+RLRL+LRLLRRRRLL+R+R+R+R+RL+LLRRL++L++R++RLRR+L+RL+LRRL+LLR+L+R+LR+RLLRLLLLRRRRRL+RLR
L++RRRRL+RLRRR+RLR++LRRRRLLLRRLR++RLRLLR+LLRRL+LRRL+L+R+L++RLLL+LRLL+R+RLRR+L+RR+R+RLLLLRLRLR+LRLRL+LLLRRR++L+LLR++RRLL+LRLL++RRRLRLLLRLRRL+L+R+RR++R+LLLL++RLLLL+++L+L+L+L+R+L++R+LLLLLRRRLLLRRRRRRR+RL+R+LL+LRRRRR+R+RRRL++R++LLR+RLLLRRL+++LR++LLLR+RR++L+++L+RLRR+++R+R+++RL++L+LLRRL+LRLR++LLLRR+L++RL+RLL+LRRRLR+R++++++RL+LRRRR++R
L++++RL+RRRRL++L+R+R++R+RL+R+RLL+RRLL+RRL+LR++++RRL+++RRLLLL+++LL+R+RLLRLR+L+R+LLR+L+LLL+RRL+LLRRRRRL++RR++RR+RLRL+L+RRLRRLRRL+RRLLLLRRR+LLLLRR+++RR+LRLL+++RRL+L+RRLLLLLRL+RLL+++L+L+RRRRRR+LR+LL+LLRL+LL++++LR+R+RR+LR++++LL+RR++L+++++L+++LR+RR+LLR+LLL++RRLRRLLR+R++RLRR+LLRRR++RL+++RRR+R++LLLRLRR+RRRLR+RL+RR+L+RRLRL++L+R+L+L++LRL
+RLLLR+RLLLRL++L+++RLLLRRLRRRRRRLLLL++++LRR+LRRR+LLR+LR+L+++LR+LR+LRRRRL+RLRRL+LLRRR+RRL+L+++LRR++RLLLR+++LLRLRLR+LRLRLLLL++LL+LRRRL++L+RRL++LRLL+LR+LL+RRRL++RRL+LR+L++LL+L+LLRRLR++RR+LLRRL+RL+R+R+RL++++R+RRLR++LR+LLLL++RR++LR+RR++LR+RLR+RRRL+LL+RR+R+L+L+L++LRLLLRLL+RL+LRLRRL+RRRR+L+LRRR+RR+RR+L+LL++LRLLR+R+RRRL++L+R+LL+LLR+++R
L+LR+LRR++RRLLR+LRRRL++L++R+L++L+L++RRR+RR+R+L+R+++L+LLLR++R+LL++L++RRRLLR+RL+R+LLL+RLL++RRLLR++L+RRR+LLRRRRLR++L+LLLR+LRLRLR+R+R+R+L+LR+LR+RLRR+LR+RLL++R+RLL+LLR+R++L++RLLLLR++LR++LRRLR+LLRRL++LLRRRRRRRRLR+LLR++L+LRLRL+LLRL+RLL+++RL++RLRR+RLRL+L+LR+LRL+LRLR+LL+R+RR+++LLL++R+L+++R+RRR+LLLRRL+RRLRR+R++RR+LL+LLRRLL+LRL+LRRL++++L+
R+LR+++++++R+LRLLRL++R+RR++L+LRLR+LRL+RLL+RRRR+RR++R++RRRRLR+LRR+RRR+LRLLR+RLLR++RL++LL+++RL+R++++RRL+LR+LLLLL++RLR+RLRR+L+RRL+RRLRRL+RRRRLRRL++LLL+++RRLR++R+L+L+R+LR++RR+LRRLR+RRRLR+L+LL+++LRLLLLL+R+RRLLLRRLR+RRL+RLLL+RLR+LRR+RR+LRR+R+RR+RLRLL+R+RLL+LL+R+RRR+LRR+RRL+R+RLRRRR+L++LLL+LRR+R+RLLR++LRRL+RRLL++RR+RLLLLRL+RLLRLLLRLLR
LRL+LLLRLR+R+L+RL+LLRR+L+RLRL+LR+R+LRLRR+R+RLR++RL+L+++RR+L++LR+LLR++L+RR+++LLR+LLL+RR+L+L+L+LR+RLR+RL+R+LLRLLR+RRRR+L+++RRRR++LRLLRLRLLRR+RL+LLRRL+RRRLLR++R++LRRLR++RLLR+RRR+LLL+RRL+RLR++LLRR+L+++L+L+++RRRL++++L+RRRRR+LR+LRL+LLLRLLRL+RLLR++RRLLR+L+LRRR++L+RR+RRR+L+L+LR+R+RRL+R++R+LR+L++LLRL++RL++RRLR+R++L+L++++RR+RLLRLRLLRLLRL
+LRRL+RL+LLLRRLL+RLRRRL+RR++LL+L+RRL++++R+R+RLLL+LLLLLRL+RRRR+RR+RLLR++++LRLLR+LR+LRLRRRRR++++++R+R+RRRL+RL+R+R++++LR+LRL++LL+++R+LL+++RLLR++L++RLLR++R+LRR+RRRLRRL+RR+R+LR+LLLR++LLR++++LRRR+RLR+RRRRRR++++LL++R+L+R+RLR+LLRRL++L++L+RRR+LRRL+RLL+RLLLLL++RL++RR++RRRLLR+RLLLLLRR++LRR++R+RL+RL+LLL+RRRLRLLRRR+RR+++L++L+LRLR+LLL+LRRR+R
+++++LLL+RLRRRRR+R+L+RR+L+L++++L+RRLRLRRRLRR+++R+RRR+LR+RLRLR+++++RLRRR+RRRRLLLR+LLRRL+L+RLLR+L++RL++LRRL+R+RLL++L++RR++RLRLL+RLLRLRR++R+RRR+LLR+LRLLRRL+R++RRLR+++RLRR+L+LRR+R++RRRLR+R++RLRL+L+RRLL++L+++LLRRRL+RRRLLRRRLRR+R+++LR+L+RRLLRRL+R+RRLRRR+RLLRRLLR++RR+L+LLRRRLL+++++L+RLL+RRRLR+LRLRR+RRLRRLLL+LLR+R+R+L++LRR+R+R+LLLRLL++
+LLLLLR+RLRL++LR++LL+++RLRRLR+RRLRLR++L+LR+L+R+L+L++RL++R+LRLRRRRRRRRLRLLRR+LL++LLR++LLL++LRLR+LRRLLLLLR+RRL+RRRL+LL+L+L+RRL++++LL+R+LRL+RRRR+L+R+RRLL+LR++LLRLRLRRRRLRL+RLLRL+RRLL+L+LRR+R+R+LRLR+RL+L++RR+++L++LL+L+L++++LL+LRLLLL+L+++LR+RLL+++RRRRRRRLRLLLRRLRRRLRRLRLLRRLRLRRRLLLLR++R+++R+LR++RL+LRLRLRR+RRRLL++R+RRLR++RLLLRLR++++
LLL+LL+R+L++LR+LL+RLR+RR+L+RLL+R+L+RRRRRR+RL+LRLRL+L++RL+++L+++R+LL+++++R+R++L+RRLRLL++LRL+LR+RRR+LLRRLLRLRR+++R+RRRRLL+LLRRR+LRRLR+L++R+LRLRR++RLL+LLRLLL++LRR+LRR+RR+R++++R+LL++RRRRLR+LL+R+LRRLRLLLLRL+LRRRL+R++RLRR+++LR+RRRL+R++++++RRRR+++L++R++RLLRL++LRRLRLLRRL++R+R+LLLL+LLR++LLRRL++++RRRL++L+RLLRL+LLRLL+R+LRRRLR+R+RL+R+RL+R+
++R+L+R++++R+R+LL++RLLLLLRRLRRLL+L+LL+LRLRRRL+LLRL++LRLR++++L++LL+L+RLLRRR+RRRRLRLRRRL+LRRRLLRR+++LL+LLRR+++LL+RLRLRRL+R++LR+RLL+RL+R+LRLRLRR+++LLRLLRR+RLR+LLLLRR+L+RRRRL+R+R+LLL+LL++RLRLLRRRR+RR+LL+RLL+R+R++LRR+R+RLL++LLRL+++LRL+RL+LLRL+L+LLLLLRRRR+LLL+R++++L+LLRL+R+R+LLLL+++LLRLLL+RLLL++RRLRL+L+R+RRRR+L+LRLL+L++LRRLR+R+LRRL++
R+L+R+RRR+R+LRRL+R+RLR+R++LR++LLL+R+L+RLRR+R+RRRR+RRLLRR+LRL+R++LL+LR++RR++RLL+LLLLR+RRLR+++RLR++LLRLRRR++L+RLRRRLRRLLRRLLL+LRL++L++LL+RLRLLLRR+RRLRLRLR+L+RLRR+RRLLR+RL+++R+R++R+++RLLRR+LRLLLLR++RRLR+LR+++LL++LLLLR+RRLRL+R+LLL+R++R+RL+R+LRRR+LL+RRRLLRRLLL++L+LRL+L+L+RLRRL+LRRR++R+LRRLRL+RRL++R++++LR+RRLL+RL+L++R+RLRR+RL+L+L+++L
RLLLLR+RLLLL+++R++LLRRR+R+L+++L+R+++LL+R+L+++LRLRLL+RRLRRRLRL+RL++L+LRR++RRLR+LR+RLLLLL+R+L+L+RRRLLRL+LL++LL+++LR+R+RR++RLRRLLRL+LLLR+++R+RL+R+++LLLRLLLL+LRR+L+R++RR+R+L+++RRLLL+RLRR+R+RRRL+RRR+++LRLLR+R+RLRLLRR+LRLRL+RRLLRLLL+LRL++RL+L+RRL+RLL+L+L++R+R++RL+L+RL++LRLL++++L+RLR++R+RR+L+RR+++LR+RRRLL+RRLLLRRLLL+LRRRR+RL+L+++RRRLR
+RR+R+LRLLRRRL++RLRLR++RLR+LLRLRRR+LRR++L+L+RL+LR+LRL+++LRRLRL+LLRRRR+++RRLR+LLR+RL+R+LRLRR++LRRRLRRRRL+L++RLL++++LR+L+RRRRLRLRL+L+R++R+++LRLRRLLRLRR+L+++RR+LRLLL+RL++RRLRLLRLL+RR++LLRR+RLRLR+++L+LLL+RLR+LLR+RL+RL+LLLLRLRLR+R+LLRLRR++RRL+RL++RLL+L+RRLR+++R++L+LLRRL+++R+R+RR++R+RRR++L+RL+LRR+RL+RL+++++RRRLRL+L+L+LRRRRLR+LRLLLRLR
++R+LRLR++++RLLLR+RRR+LL++RL+RRL+RLR+LR+R+++++LRLR+LL+++L++++LRRRL+R+RRL++L++L+R+RRLLLL++LR++L++RLLRLRLR++++L++RLR+R+LLLRLLLR+RLR++RLRLRLLRLR+LRRLRLR+++R++LRLRLRLL+RR+RRLR++R+LL+L+++L+LL++R++R+R+LL+++R+RRRRLRRRRLL+LRR++LLLR+LLL+LRR++LLRL+LRR+R++LLRRLRLL+L++LL+RLLRLL+L+RL+R+R+LLLRRLR+RRR+R++L+R+RL+RR+LR+++RL++++LL++LRL+RL+RRRLLR
L+LRRLL++LRLRL+LLR+R+++LR+LRLRLR+R+L++LL++RLRR+L++L++LR+++LRLRLRLL+LR+++RRLL++++++LRLRL+LLR+L+L+RLRLLR++LLRL+RRRLR+RLLLLRL+RLR+R+R++L+RL++R+L+LRL+L+++L++R++L++L+R++LL++++LRR+RLL+R++LR+++++L+LRRLL+RLRLLLLRLRRRL++R+L+L+R++R++LRRL++RL+LR+LRRR++LL+++LR+LLLL+R+LRR+L+L++RRLRRLL+RLLRLL+LLR+RRRRR+LLRLLL+R+LRLL+R+RLL+R+RRRR+RLLRRR++L+RL
LLLRRL++LRRRRLLLL+L++RRL+L+L+R+L+R++L++R++R+LL++L+LL+++LL+RLLLRRL+R+RLLL+LLR++++R++L++LRRR++L+RLLR+LRR+RL+++LRL+++L+LRR+L+R++L+R+L+LL+RRLR++RRR+R+LL++RRLL+LL+RR++RLRRLL+++LLLL++R+R+L++RL+RL++R+R+R+++LL++LRLLL+RLRR+L+RRLRR+R++RL+RLL+L+RRLLL+RLLLLRL+L+R+L+RL+L+RRRLLRR+++LLRLRLRRRRR++LLRRRRL+LR+L+LLL++L+RR+L+L+L++LRRLRR+++L++LLR+L
++LRR+LLRLR++R+RRLLR+LR++++LLLLLL+RRLLRRR+LL+L+L+R+RLL++R+L+LLRRLL+R+L++L+L+RRL+R+LRR++LR+LRLLLLR+++++RLRLL++++RRLRRR+LRLRRLRL++RLL+L++++R+L+LLR+RR+LRR+R+LLR++L+RRLRRL+++RRLRL+L+RRLLLRRL+L++R+RL+RRLLL+R+L++++LR+RRRLLRLRRLRRL+L++RLL+++LL+LLRLR+LR++LLLRR+LR+L++RLR++R+RR+LLL++RLLLLRLRRRRLL+R++R++RLLL++L+RR++++RLR+RRRRLR+L++RRL+LLL
LL+RL+LLR+++L++R+R+RRRL+LR+LRLR+LR+LLRL++RRL+L++R+LR+RLRLRR+LL+RRR+R+LLRL+RRRRRLL+LR+LLL+LL+RLRRL+RRLR+RRR+LL+++LL++LR++LRLRL+RRRLRRL+R+RR+++RL+LLRLLRRLR+RRL+L+RL++LRLLRRLRRR+RL+RLRLR++LR+L+RLRLRLLLR+LR+RRR+L+R+LRRLL+++LLRLLR+R+R++LR++++L+R++LRLLLLLLL+RLL+LRLL+RLL+LRL+L+L+R+RRLRL+LLRLRLL++LR+LLL++L+RLLRRR++R++RL+LRRLLL+RLLRR+++
R+++LRRRLL+L+RRL+RRLRRRLLR+L+RL+++RR++LLRLRRRRL++RLR+LRRLLR+LLRL+LL+R++LLL+++LLRRRLL++++R+++L+R+R+LLLLL++R++RRRRL++RLR+LLRLRRL++RL++RL+RRR+R+LLR+RRRRL+R+R+RR+LR+LLRLLLL++L++R+LL+LR+RLR+R+LL+++LL+RRR++RLLLLL+L++LLL+LR+L+R+RRR+LLL+L+LRL+RRL++++RLRLL+L+RRLRLLRR++RRRLRL+RLRL++L+R+RLLLR+L+L+++RL+++L++RRL++RRR++L+L+L+R+LR++LLR+++LR+L
L+R+RLL+RR+LR+LR+++R+++LRL+++RLL++L+RR+RLL+LLRL++RRRRRR+LRLLRLRL+R++LL+LL+L+LLL++RR+R+LLLRLRRL++R++RRLRLL+R++++LLLLR++LRR+++LLRL+++RRR++++RRLR+RR++RRLR+R++LRRLRLLRR+RR+L++++R+RL+RLLLLLL+RRR++LR++LL+L+RR+LRRLLRLL+L++LL+R+LLRLLL+++LRLL+LRLLLLR+L++L+R+R+L+RRL++++RRLLLL+RR+L+R++RL+RRR+L+LRRLL++RL+RR+L+++++L+RRL+L+++L+LRR+L++L+RL+LR
RL+LL+RLLLLLRRRRR+++RL+LLLLLR++RR+++RL+++++LRRRRRLRRLLRRLR++R+LLR+++++R+RLLR+LLLR+LRRRRL+LRR++L+LL++RL++LRLLL+LLLLL++++LLL+LRL++R+L++RLRRLLLLRLLRRL+++LLRLRRLLLL+LLRR++R+L++R+RRLLLL+LLL+RRR+LL+LL+LLRRL+R++R+RL+RRR+LRR+R++++LL+LL++L+RRL+LRL+LRRRLR+RLRL++LR+L++R+L++RLRLRR+L+RLR+LR+RLRLRLRLRLLL+L++R+LRLL+LLLLR++RLRRR+RR++RR+RRRLLRR
++LL+LLL+LRLRRRL+LL+++LLRRRRRRRR+L+R+R+L++LL+RLL+LLL++RLLL+LR+R+LRL+L+++++LR+++R+++RRRL+LRR+L++R+RRL+RLLL+L+L+++++LR+LR++LL++RR++R+R++RR+LLR+++LLL+RRR+LL++++RRL++RLLRLLLRR+LRRLRRLRL++LLR+RLL+RRLR++++RRL+RRRRLR+RLRL+RL++L++RLLLLRLL+RLLR+RRLLLL+RRRRRL++RLRLRLL+L+R+RRLL++L+RLRLRLRL+LRR+RR+R+LR++LRRL+RR++++L+L+++LLL+LL+RL+LLLRLLRRR
++LLRLLRR+LLR++RL+++RR+L+RR+LRL+L+L+L++R+++++RLRR+LLLLL+LLRLLLLL+RL+RRLRLRLLRR++RRRL+LR++L+RLRLRL+LL++RRR+++LLL+LRRRL++L+RL++L+LRRLL+++R+LLL+RLRRLLLR+RL++LLR+RRRR+L++RLRLRLL+LRRLLRLLL+RRL++LR+RRR+++R++L+R++++L+++L+RRR++++RRLRLRL+++RLRL+RRRLR+R+++LR++RRL++LR+LRRR++++L++LL+RR+RRL+++LR+L+LRRR+++LLR+LRLRL++L++LRLL+R+L+LRLL+RR+LRRLL
+L++R+LL++LL+R+RRR++L+RRL+R+++RR+RLR+LLRRRL+R+LR+RLL++L+R+LRLRRR+LRLRLRL+LLRL+RLRR+R+L+RLR++RRLRR+LL+L+LR+++L++LRR+RRL++RLR+++L+L+LRRLRRLLLRLL++R+RL++LR+LRRLLLRLRLRR+R+RLRR+RRR++++++++R+LR+++RLLLRLL+LRLL+RR++L+LLL++LR+R+LRR+LL+R+LL++LLLL+LR++++LRRLRL++L++++RRRL+R++LRLLRL+LLRRR+LLL++L+R+LLR++LLRLRR+RLL++++RLL+RRLRLR+RLR++RL+L++R
RRRR+LL+R+++RRRRRL+RRLR+R+RR+L+++LLR+RLLRRR+R+RLLRLR+LL+LLL+R+RLR+++R+LRL+RLRLLLR+L+L+RLLR+R+LR+L+RR+R+RLR+L++RL+L+LRLRRRRRLR+LLLLL+LR+++LR++LLL++L+LRR+LRRR+RRR+L++LLLR+RLRLL+RR+LLL+++RR+RL++++L+RRR++RLRR++LL+LLLL++L++R+LRLRR++R+LL+RLLRRLR+R+LL+LRRR+L++RLL+LL+LL+R+L+R+R+RR++L++RLL++RRR++LRRRLLL+R+LLR+LR+RLR+RR+LRLR++L+LLL++++RR
++RRLL+R++++R++LL+RRLRLRL+LRL+LRRRRR+L+LL+++LRL+RLRRR+R+R++LR++R++++LRL++LRRRR++RLRLRLL++RLRLLLLLLL+RLRL+L+R+LR+RL+RRRLLRR++RLLR++RLLLLLRRLRLRLR+L++R+RL+LLRLRRL+RLR++RRRRL+++RLLLL++R++L+LR+LRLL++LLRRL+++LLLRR+LR++LRLLR+++LL++RR+RRLRLRLLR+++LLR+LLRLL+RRLLRLRLR+LR+++RRLRL+RRR++R+R+L+LLRL+LLR+++++L+RLLLL+LR+L++L+R++R+L+RRL+LRL++RL
+++RRLL++RRLL+LLRL+RL+L++R+LRRLLLR+RLLLRRLLR+R++R+LR+RR+R+RL+LLL+RR+++L+R++LLRRLR++++R++RR+LL+RLL++++L+RR+L+R+L+R+LR+L++R+L++R++RR+R+++R+L+LRRR++RLRR+R+LRRLLRRRRRRLR++LRRLLRLRRL+LRL+LR++LR+LR++LL+LRL++L+R+RRRLLRR+++LR+RRRR+L+LRRRLLR+RLRRR+RL+RRR++RL+L+++R+RRR++RRLLR+R+RLL+LL++L+RL+LRRR+RL++LRL++LRLRRRLLRR+++LR++LLLRR++R+R+++L+L
LLRRLL+LLRL+RLRL+++R+LR++RLLLL++LRLL+RRLRRL+RR+++LRRLR+L+LLRR++LR+RLR+LLRR++RRRRRRLRRL+RLRL++R+R+L++RL+++RRRR+L+++LLRL++RRLL+R+RRRLLLL++L+++LRLRRL+LLLRR+LLRLRR+R+LR+RRRL+LLRRLL+RLL+LRL+LRR+L++L+R+LL+RL+RL+RRR+++LLRL+L+RRR+++R+LLLRLRRRLR++L+L++RLRL+LRLRRLLRRRLL++LLRRRRRRRRLRLR+L+R+LL+RL+LRR++LRRRLRLRLLRLRRRRLLL+RL++R+RLLLL+LLRLL
RRL+++LRLRL+++LRLLR++LLLR+LLRRLL++++R+RR++LRL+RLRR++RL++RLLLR++LRL+LRL+RLR+RLLLRRRL++L++LR+R+RR+RRR+RLR+L+RRL+LL+RLR+LR+L+LL+LL+LLR+RL++R+LLRRL+R+RRLRL++LLRL+LRL+LRL+++LR+++LRL+RRL+++RLLRRLRL+RRLLR+LR+RLL+LR+++RLLLLLL++LLRLR+LLRRR+RRRRLL++LLRRLRRRRR+LLLRLR+RL+LR+RLLLLLLRLR+RRR+LLLLRRRLR+RRLLRRR+L+L+L++LRR++++LLRR+++RRR+R+++RLRL
RRLL+R+R+RR+RL+R+LRRL++LRR+RR++L+++LRLRL+RRLRRL+LL+R+LRLRL+LRLLRRLLL+LLRLLLR+LLRR+++L+LRRLR++R+L+LLRLRRLR+L+RL+L+RLLRLRL+RRR++LR+LR+LRL+L+RL+RLRLLLRR+L+++LL+RLL+RRLR+R+L+L+RLL+R+LL+++R+++LL+RRRRLRLLL++RL+L+LL++LRR+R++RLRRRRLLL+R+LLLRRRLRR+L+LRL+LRLRLL+RRRR++LRLRR++RRRRL+L+RRR+L+LRRL++LL++LRR++++++LLRL+RRLLLL+L+RRL+L+++LLR+L++L+
LL+R+LRRLLRRRLRLRRR++L+L+LL+RRRRL++RLRLLLL+LLL+RL+L+LL+++L+RLR++RLRRLL+LRL+RLRLLL+RLLL+L++LR++LRL+RLLLR+R+LLL+LLRLLL+L+LL+RL+++RRL+LRRRLL++R+LL+L++LLLLL+++RRLRRR+L++RL+L++R++LLLL++R+LLRLLRL+++LRLLLRLL++RRRL+LR+LRL+RLLRRLR++LR+RR+R+RLRLRRR++LLR+L+R+++L+R+RRR++LL+R+R+++RR++RRRR++RLRRRR+LRR++++LR+LL+R+RRLRLR+LRR+R++R+RL+LL+RR+RLRL
L+L++L+L+RLLRR+RR++RRLRRL++LR+RLLLRLR+R++RL++RLLLRLL+++LLL++LL++RRRLRLLRRLL+RLRR+R+++RRLRLLRL+++LRR+LL+RL+RLRR+RL+LR+RRRLLLR+RRL+LR+++++LRLLRLLL+LLRR+LR+RR++RL+L++R++LRRRLLLLRRRRRRLR+LLR+R+R++L+++LLL++++L++LR+LL++R+R+LR++L+++LLRLRRR++L+LLLR+LLLRRL+RLLLL+RLR++RRR++L++L++++RRRR+L+L++RRRR+RLL++RL++L+++RRLRRLL+LRRLR+R+LL+RL+L+R+R+R
+LRRR+RR+LLL+L++RL+RR+R+++++L+LL+LRR+RR+RL+L++LLR+LLRR+L++++RLL+R+LLLLLL+R+LRLR+LRR++++LRLR+RLRL+RRL+LRLLRRLLLLRRL+R++RR+R++LLL+LLR+R+R+LLLLRR+RL+R++LRRLR+R+LRR++RLLR+LR+R+LLL++++++RLL++LL+L++++LLLRLLLR+L+L+LLL+LLRLRLL++RL+RLRRLRR+L+LR+RLRL++RLL+L+++RLLRL+RR++LRRLRLL++RRL+L+RLRR++RLL+R+LRR+RR++R++RRRR+L+LL+LR+RL++LLRR+LLRR+L++R
R+L+RLLLR+LL+RL+RR+L+++R++LLLLL+L+L+RLL+RRRLRRR++LLR+RRRL+RR+RL+LL++RRLR+R++R++L+R++R+RRRRL+R+L+L+R++++LLRLRL+RRR+RLRR++LRRL++RL+R+R+++LL+R+LRRLL+RRRLRRRRL+L++RL+R+R+LR+L+LL+RLRRRL+++RRL+LLLRRRLR+++L+LLR++LLL+R+RLLL++LRLR+LRRL+LRRRLRRLRL++LL++LR+LRR+++R+RR+++LR+RRRLRLRLR++LL+LR++R+++LL++++LLRRR+L+++RRL++RLRL+R+++LRRRLRR+LRRLRRL
+R+LR+L+R+LL+LRLRR+LRLRR+L+R++RRLLRR+R++RLRR++RRRLRR++RLRLRLRLLRRRLRRL+L+RRL+L++LRLLRRLRLRRR+RL+RRR+LLLLLRR+LRLR++L+L+++RRLRL+++LR++LR+++RRL+LL+++++RRLLLRLRR+R+RRRL+R+L+++RLL+R+LLLRRRRRRLRLRR+RLRL+LRLLL+LLLR++LR+RRRRL+++RLRR+RL++RRLRLR+R+LRLRRRLL+L+L+L+R+RRLRRR+++R++LRRL+LRRRR++R+LR+RR+L++LRRLRL+RL++RRR+RRRRL++RL+++RL+R++L++RLL
L+RR+LR+RLLR++++RRRL++RRLL++LLL+L+LRR+++R+R+RLRR+LLL++R+LRR++RR+RRL+++RLLL+++RLR+RRRR+++RR++R+R++R++L+L+LL++R++++RRR++LL+RR++RLL+RRL+RLRL+RLR++RLLRRRLLLRRRLLR+LR+RLR+L+R+R+L+R+LRRRRL+LRLR+L+LLRR+RR+RRLRLRRLL++RRRLR+RLLLR+++L+LLR+++LLLLL+RL+++++RLR+RRLL+LRRLLLL+LR+RRRLR+LRR+L+LRR+LLR+RLRLRR+++R+RRRR+L+L++LR++LLL+RR+L+RL++L+L+LLR
+RLRLLL+RRLLRL++RLL++LR+RL+LLRRRR+RRLRRLRL+LL+RRRRRLRRRR+LRL+LRRR+RRR+RRRRR+LR+R+++LLR+RRRRRRLR+LL+R+R+LRLRR+RLLL+LL+RRL+R+RLL++LL+LRLR+R+++RLR+LLLL+LRLLL++L++L+LR+++LRLL++LR+RLR++L+RLRLRL+LLRRLL+L+++++RLL+LRLLRLRR+RL+RLL++RLLL++LLRLLL+L+++LRRL+R+RL+RRLRR+LRRL+LRRR+LRR+R+L++R+LR+R+LR+L++RLRRRRRL+LL+LL+R++RR+R+RLR+R+RRLRR+LR++RR
+L+LLLLL++LLRR+RR+R+LLLL+L++R+R+LLRR+L++LRLRL+LRR+RR+RLRR+RRRRL++RR++++RLRRR+LLL+RRLL+RRLRL+LR+LRLLRRL+L+LRLRLRLRLLL+LR+RL+LR+LRLLL+LRRLLLRL+RRLL+L+++RLRL++LLR+RL+R++LRRL+LR++LRLR+RRLRR++LRRRRLR+RL+L++LLRRLRLL+L+L+L+L++LLRRRR+LRLL++R+RLLRL+L++LRR+RLLRLLR+LL+LLR++RLLR++LR+L+LRL+RLR+R+RRL+LLLRR++L++L+RL+RR+R+++LL+RRLLLLLR+RLLLLRL
RLRL++RL+LRRRLLRL+RRRL++L+RL+R+L+RLLRLR++RRLLR+RR++L+RLLLL+RRLR++RL+RRLLLLR++LL+L+++L+RRLRL++RRLL+L+RLRRRRRRRRRRLR+R+RRLLRRLLR+L+R+RRRRRRLRLRRRRRR++RRR+LRLR++RLLLL++RLRL+RLLRRRL+RRR++RLL+L++RR++RLL+L++RLL+++R+RLLL++R+L+RR+RR+LLRLRLR+++LL+RR+RRL+R+L+L+L+LL+R++L+LRL++LLLLLR+LLLLL+RLRRLRRR++RRRLL+LRRRLR+RR+++++RRLR+RLLRRRL++LRR+LR
RR+RL+RRL+LLLLLL++R++RRRLRRRRLLLR+++LR+LRR++RRLL++RRRRRL+LRL+RLRR+L+RL++LRRL+RL+++RR++LRLRRL+R+LL+RR+RLR+RLLL++RL+RRL+LRL++LR+LL+LLRRRL+L++R++LR+LRRL++LL+R+LLRL+R+RLRRR+RLLR++RLLLRLR++R+LRL+L+LR++LRLRRRRRRRLLLRLRR+LRR+LRRLLLRR+RRRL++L+LRRR+++RRLRR++RL+++RLR+LRR+L+LR+RRLRRR+R+++LRR+LRR++R++++L+LR++R+LLR++++RLL++RR+RR+RRL+RLLR+R+
LL+RRL++LLRR+LLRL+LRRRLLRLR+R+R++++R+RL+L++R+RLRR+++RRR+RRLL+RRLLLRLL+RRRRLLRR+LLR+RL+LRLLLR+R+L+LL+R+LR+LL+RLR++LR++R++LR+LR++RL+LLRLL+R+LRRL+R+LLRLL+RLLL+RR+LRRRLLL+LLLRRRR++LRRLLR+RLRLRLL+L+LR+LLLLRRL+RLRL+RLR+RL++L+RRLL+L++LRLLRLR++RRLRL+R+R+L+LRL+L+LRR+RRR+LL+L+L+RLLRLLRLRL++R+R+R++RLLLL+L+RLRL+LR+R+L+R+L++LLRR+RLLR+LL+RLL
+RR+R+LRR+RLL+RL++RL+L+RLR+RR+RLLL+RLLR+R+RRL+RLLRLR++RR+++L+L+LRR+RLRRR+RR++LRLLLLL+R+RR+RR++R+L+LLR+LLLL+L++RLRLLLL+RL++LR++RLRRLL+RLR++R+RLRLRR+R+RLRLR+LL+++++RRL+RRLL++LR+LRLRL+LR+L++LR+RL+R+L+RR+RRLL+LRLRR++LL++LR+L++RLRL++LRRLLLLLRLRRRRL+++LLLRRL+L++R+LRRR+RRR+RR+R+L+RL+LRRRR+RR+R+R+LRLLRRR+RLLRR+LRR+R+L++LLL+LLLL+LLR+L++
L+RR+LR++LRLR+RLLRLLL++R+LL++LRLLL+LRLLLL+++++RRR+L++LRR+RRLL+LR++RLL+RLR+RRLL+LLLLRL+L+LL+LL+RR+L+LRR++LRRL++L+R+R+RRLL+LLR++LR+++R+RRRR+RRLRLRLR+RLLRL++RR+RLL+RRR+R+LLL+RR+++LRLLLL++LRLL+R+LL+R+LLL+L+LRL++LR+R+++LLR++RLR+L+++L+LR++L+RLL+RL++LRRRRLR+RR+LR+LL+RRRRRRL+LL+L+RLRRLRL+LR++LRRL++L++L+RLRLL++RL+L+LRLLRLLLRL+R+++++LR++
+LR+LRRRLR++L+R+LRLLR+L+++RLLL+LRL+RL+++LLLRLLL+LRRL+L+R++RLR+R++RR+LL+LL++L+RRL+RLRL+L+RLLRRL+RRL++LR+L+LLLL+RL+RRLLRR+RRL+LRLRRR+R+++++R++RRR++LL+RR+RLLRL++L+RLL+LR+LR+++RR++RRLR+L++LR+RRLRL++L++L++R+++L+L+R++LR+R+RL++RLLRR++LRLRR++R++LR+L++L+L++R++LRRLRR+R+LLL+LRRLLLLLR+R+++LLR+++LLRL++++RRR+++R+R+LLL++R++RLL++R++R+R+R++++RR
LL+RRLRRR+R++R+RRRRL+L+RR+++RR+R+RL++R+RRLLLRL+L+++L++LLRRLR+LRRRLRLRLL++RLR++L+++L+RR+LRLR+L+R+R+LL+R+++L+++R+LRRL++RRLRR+RRLLRL+L+R+++RRLLRRR+L+R+RL+R++++RL+RLRRLRRR+LRLRLL++++LLRLRRLLL+R+RRR+L+LRL+++RRRL+RR+LLLL+RLLRL++R+++R+R+RRRRLRRL+LLRRL+RL++RLRL+++RL+++R++L++RRLRRL+R+++RLRRRL+LRR+L++LL+LR+R+R++R+RR+LRLRL++L+LLRLRLLL+++L
+LL+++LLLLLR+RR++LLRLRRR++LR+RL+R+++LLRR+L+++LRL+RLR+LRLRLRRR++LR++LLLRRLL+++++L+++LRLRLRLLR+LR+RRRRR++RL++++++L+RLRLL+LRRLRLR+RL+RR+++LRLRR+RL++RRLLRLRRR+RL+RL+R+LRLLRRLLL++LRRLRRL++RL++LLRRLLL+LLR++LL+RRLR+L++LR+RLR+LRLLR+L++LR++R++++RL+L+RR+++RR+R+R++RLL++RRRLR++LLR+RR+LRRRRR+LLRRRL+RL+RRLLLR++LRLLLLRLR++L++LRRRLR+LRLRL+R++L
++LLLL+R+L+L++RRR+LLR+RRR+R+LRLLLL+RLLLRLRL++RR++RR+LRRR+LLRLRL+RR+RLR+++RRR+RR+++R++R++LR+R++RRL++RLLRLRLLR+LLL+LRR++LRRLLR+LR+RRLRL+++R++L++L+R+L++RL+RRLR+R+RLLRR+LR+L++++L+RLR++LR++RR+RLLRLRLL+++RL+LLL+L+R+L+L++RL+LLR+LRR+L++L+LRLRLR++LR+R+RRRRRRRRR+R+RRLRRL+LRRLLRR+++RL+LLR++RRLLR+R++LLRRL++RL++LLR++LRR+R++L+RRLLR+R+R+++R+R
L+LRL++RLR+LRRL+R++++R+LRRRLLLR+L+RRRR+LLRLRR++RLL+L++RRLRLR+LLRRLLRRRRR+L++L+RL+LRL+LLLLRRL+R+++LLLRL++LL+++RRLRRLL+++R+RRLLRRLLRL+R+RRL+LLLLL+L+LRRRL+RLRRRR+L+++L++R+L+RR++RRL+RRR+++LRRLRL+L++RRRR++R+R+RLLRRLR+L+RR++RLRL+LLRR+RLR+LRRL+RRRL++LR+R+LL+LRRLLR+++RRL++++RR++L++RLR+RR+L+R+R+RLLRRLRLLR+R+R+LLRLL++R+LLLLRLR+RRRLRRR+L+
RL+L++LL+L+L++LLRRLRRLR+LRLLRRL+++LLLRLLRLRR+L+LLR+RLL+LRL+++L+RLRLL+RL+LR++R+RR+R+LLLRRLLLR++RRL+LLR+L+RLR+RRLRL++RLRLL+LR+RLL++R+RL+L++RLRR+++LRRRLLRLRR+RL+R+LLRRLLRRLLRR+RRL+LL+L++LRRRRRLRLR+RLLLLRLL+R++LR++++++R+RL+LLL+RRLR+RR+R+R+R+LRL++++LRR++LLLL+L++LLR+R++RRRR+RR+RR+RRRRLR++LR++LL+++R+L+LR+RLLLR+LL+R++RRRLR++LR+RLLL+LR+
LLR+L+LRLRL+L++RLRL+LL+RR+LRR+RLLLR+L+L++R+R+LLRLLLL+L+LR+RLR++L+R+RR++L++RR+LLRL++RR++RLRRRLRRR+LR+R+RRRRL++RLL+++RRR+LL+R+++RL+RR+L+RRRL+LLLRLRLLRL+LL+R++L+R++LLRRRR+++LLLR++L+RR+LL+R+R+RRLL+L+LRLR++LR++R+R+RRLRR+LRLLLL+L+L+LLL+RRRLRL+LR+R+RL+L+L+LL+RR+R+++L+RRL++R++++++RRR+L+L++LL+++LLL+RLR+R++R+LL++RRRR+++++LRR+RL+RR+L+L+++
RRLLRLLLLLR+RR+L+LL+R+R+LRRLRL++R+R+R+RLRL+RR+R+LR+LL+R+LR+RL+LRRR+LLLR+R+LLLR+RLRL+RL+RLRR+RR++L+++L+LRLRLR++R+R+R++RRR++LL+++LLL+RL+LRRL+L+RRLR++++RL++L+LRLR+LLRLRL++R+R+LLLR+RR++LL+R+L+RLR+L+++R+LL+R+++R+R+LRLLR+R+R+RRL+++R+LLRLR+L+LLLL++LRRRR+++RRLRR+R++++L+R+L+LR++LL+L+RR+R+LLL++R++RRR+RL+LRR+R+R++RR++LR+++++LR++R+++LLRR+R
++R+LLLR+LLLLR+L+RLRL++RL+LL+LRL+RL+LRLR++LLRLR+R+LR+RLL++RL+LRRRRLRLLR+RR+L+L+L+RLLRLLR+RRLR+LLRR+RL+LRLL+RL++RLRLRLRLRL++R++R+RLRRL+LR+RLLL+RRRL+LLRRLRRRRLLR+LLRRRR+L+LLRRRLLL+RL+LRLRLLRLR+RLLR+RL+LLRLRL++RLRLR+++LLL++R+++R+L+L++LL++L+RL+RL+R++LLL++RR+RR+RR+R+++LR+++++RRLRLRLL+R+R++LRR++L++++++LRLRL+RR+R+++RLRRRRRRLRL+L++LRLR
+L+RLL++RL+RLL+LRLR++RL+RL++RRLL+L+L+LRLRLL+RR+L++++R+L+++RRR+RRLRR+R+RR+L+R+RRLRRL+RLRRR+RRLR++++RR+L++L+++LRLL++LLRL++L+LRLLLRR+++R++LL+RLRLR+++L+++LRLRRL+LLL+L+RL+L+L+++R+RLLL+++R+R++RLRRRRRL++L+RLRRLRLR++R++RRR+RLRLRRL++L+RR+L+LLRRRLLLL++L++R++R+LLLRLRRLLRRL+RR+RLLRRR+++LLR+LL+R+RL+RR++RL+RR+L++LLR+LL+LLLL+LLRRLRLLLLLLRL++L
+R+L+LLL+L++R+RR+RLRRLLLLLRL++RRLLLLLL+L++LLLLL+L+LRL+R+++LR+RLRLR+L+LRRLR+R+L+RRLLLR+LRLL+RLRRLL+LLLLRLR+R+L++LL++LL++RLLRRL+++L+RRLR+R+R++LLLLRL++RR+++LLRRLR+LLL+RLR+RLR+++LRL+R+R+RRR++++LLLL+LLLRLLRRL+L++RL+RRL++++L+LRR++R+R+RR++R+RL+L++RR++LR++RLLR+L++LL++++R++++L+LLLLLLLRLR++LLRRR+R+++LLRRLLLLLRLLR+RL+L+++LR+R+RLLLL+LL+LL+
LR+RLLR+RR+LR++R+LRLRRRLLRR++RR+LRRRRRRLL++LLR+R+RR+L+LRRL+++RR+RR+LLRR+LRLRLRL+R+++RRRL+L++LL++++RLRRLLLLRRLR+RRR+LLLRLLRL+L++LL++RL++++RL+LLLLRR+RLL+LLLRRLL+RL+L+R+RR++LL+L+RLRRL+L++++LLRLRLLRRRLLRL++RL++L+LRR++LRRRRRL+RLRRL+RRRL+R+LRRR+L++L+R++LRL++RLRLLL+++LL+RR+RLR+LR++L++RR+R+L++L+RLR+LLRL+L++RLRRL+L+L+L+RLLRRRLRRL+RLLLR+
LRL+LL+++LRRRLRRL++R++RLLLL++R+L+LRRLLRLRLRRRLRLRRLRLL+RRRLLL+RRRL+L+LLRRR+R+++LL+++RRRLLLLLR++++++LL+R+R+LL+RRRR+LL+RLR+RLL++RLRLL+LRRLRRL++RRRRLLL+R+RRRR++L+++LRRRL+RLR+RRL+LR+LRR+RL+R++L+RLLLRL+RRRLLLLR+RRRLR+++R+RRLRL+RRR+LRLR+LR+RL+RRLL+RR+++LRR++++LL++L+++R+++LLL+LRL+RRR+RRRLR+LR+LRRLRL+RRRLR+LLLL+LL+LRRR+R++L+RL+LRRRLR+R
LRRLRLRRRRLRLRLRLLLR++RRR+LL+L+RRRLRRLR+LR+LRLLRRR++RRRLRRRRR+LRR++L+RLRLR+++RLRRLLL++R+RR+LL+RLL+R+R+RRRL+LRRLRLRL+RRR++RRRLLLR++LR+RRL++L+RL+R+RLL++++RLRLL+LRLLR++LRLRR+L+L+++RL+++LRRRRLL+RL+RRL+RRLRRR+R+LR+++L++R+RLL++R+R+LRR+LRLRR++++L+R++L++LL+RRLL+RL+L++RLL++R+RLLR+LR+LRRRRL+RL++RLLLL+RLR+R+LRLLRLR+RL+RLLLRRRLRLR+RR+RRLR+
RR+RLRR+++LRL+R+RLRLL++LRRLRLLL+RRR++++R+RRL++RLL+LRR++LL++L+LL+RLRLLRLRR+L+LR+L+L+R+L+++L++R+L+LL+RRL+++LRL+L+LRL+R+L+RRRLRRR+RL++LLLRRRRLRRLLLRR++++++L++LRR+++R+LRLLLR+++LLRLR+L+L+RRLRRLLR+LRLRLRRL+L+L+R+LLL+++LLR+LLLLR++LRLL+RRL+RLL+RL+RRRRRLLRR+R++RLLRRLLR++RRL+LRR++LLL+LLR+RLL+LRRLRR+LRL++R+RLRRL+L++L++++++L+LLL+RLRL+RLR+L
RRR+LR+R+R+LLL+LRL+RRLLL+R+RLLL+LRLRR+RLLLRR+RLR+RR+LR+LL++++RRR++R+LL++RR+LR+RLL+L++R+RLLLRLRLRRLLRLRLRLR+RRLRRLL++RRRRR+LLLL+RLRRRRRL+L+LRRLLR+LR+++R+LL+RL+L+++RRLRLLLLL+R+L++RR+LLRLLRRL+L++LR+++RL+LL+LR+RLRR++LRLLLL+LLL+LR+RLRLRRL+L++LL++RLRLLLL+LLL+RRLR+RLL+R+++RRRLL++RLR+++R++LRL+LRRLRR++LLRLLRL+L++LRL++LLLRR+RR++RL+LRLRR+
++R++LLL+L++LLLR+LLL++RRRRLR+RLL+LLLLL+L+R+RLL+RLL+LLLRR+LRRRRLLRLRLRL++LRR+LL++++RL+LR+++++LRLLRRRL+R+RRRR++LRRLRRLRLLLRRLL++RLRRRL+R+RLLRRLRLR+R+R+++LLRLLRLLLLL+LRRLRRRLLL+R+RL++L++LRLRLR+RLR++RL++L++R+LLR+LL+RLR+L+RRRRR+++RLRL+RLL++L+LRR+LLR+RLLLRL+L+RL+RRLRL+L++RRLLL+++RL+L+RL+++LR+RRR+RL+RR+++RLL+++RLRRRRLL+RLL+LR++RRRL++R
LLLRRLRR++R+RR++LLL+R+L+LL++LLLRR+R+LRLL+LR+RRRRL++RRLLRRL+RRRRLR++LLLLLR+RRLR+L+LLRR++LLR+LR+LRL++RLRRRR+LLLRLLLRLLLLR+RLRLR+RL+++LLL+LRRLRR+LLLLRR++L++RLL+RRR+RRR+++LLLL+LLR++R++LLR+LLL+RL+LR+++L++R+LLLR+RL++RRLRLLRLLRRLRL+LRLL+RL+RLRR++RR++RLRRRLLR+R+++RRR++LLR+++LL++LL++RLLL+L+LL+LRRLR+RLLRRL+L++RLRRR+L+L+++RRLRRR+RLRL+LR+L
LLR+LLLRLL+R+RR+R+R++RRR+L+RRLRLLLRL+RLLRL++RRRL+L+RR++LLR++LL++RLR++RR+R+++RRLLLL+L+++LRLLRLLRRLRLLLRR+L+LR+++RL+L+L+R+L+LL+LRL+R+++RLRR++R++LR+LLR+LRLRR++LRLL+RRL++L++RRRR+LRRRR+++L+LR+RRL+++RRL+RRRL+++++LL++L+LLRRRLR+RRLLLRRRLR++LRR+L+L++RLRRRRRRL+LL+LLLL+L+R++R+LL+++++LRLRR+++L+RLRRR+R++RLR+++LRLRR+L+L+L+L++RRRL+R++++R++LRR
L+RLLRL+RLL++L++R+++RRRR+++R+++LRRRRLL++LRRL++LRLLRLLL+LLL+RLLLRL+++LRLRRRR+++RLRLRL++RR+RL+RRLRL+RRLRR+RLR++LRRLLL++LRR+L+RRLLR++L++R++RRR++LRLR+R+LRL+LLRLRRLLR+RLL+LRL+R+R+LLLRR+RLLL++R+L++LLRLLLLLLRLRLRLRRR+LRLLLL+LRL+RRRR+RL+RRR+RL+RLR+LLR+R++RR+RLRRLRL++LLRR+RRRRR++R++RRRR++L+LLRLR+RRLLLRLRRRL+RRLRR+++RR++LRLRRR++RLR+L+RRR
+++LRRLLLL++RL+LRLLLRLR+RL+RRR+RL+RL++L+L+R++R+L++R+RRRLLR+++LLR+LRLRLRLR++R++LLLR+RLRL+LL+L++R+R+LLLL+R+LR+RL++L++RRL++LL+LR+L+LR++RR+L+++L+RL+RRRLLLRR++RLLLR+++RLRLL+LL+R+R++RR++RLLLRRR++L+LR++L+LL+RLR+R++LLR++LR+L+LLRLR+LL+++LR++LRRRR++RRR+RLRLRLRRR++R+L++LL+RLRRLRL+LL+R+R+R+R+L+R+RRRLRL+LLRLLLR+L+R+LL+LRR+RL+++++LRRLRRLLL+L
R++++RL+RRRRR+LR+L++LRR++++RRLRRL+R+R+RR+LR+L+LR+RLL++R+RL+L+L+R++LLLRR+LL+L+LRLL+L+LR+RR++RR+LR++L++R+L+RRL++RL+LRLRRRRLRLRLL+LLRRR+L++RR+RR+LLR+LL+R+R+L+R+++++LL++LRRR++R++RLL+LLLLRLR+R+LR+L++L+LRL+LLRR++R+L+LLLR+R+LRLL+L+RLL+++LLRL+RL++++RR+++RLRRRRLL+RRRLRL+L+RRR+R+LLR+++LR+LR+LR+LLRLR+L++L+RLRLRLLRRR+LLL+++LL+LLRL++R+R+LRR
LLL++R+LR+LLRL+RLL++LRLRR++RLL+++++LR+RLL+++LLL+LLR+LRR+LR+R+LRLLL+RLLR+++++LR+L+LRRLR+RLRLRL+++RRR++RL+R+LRRRL+R++RL+LRLR+RLL+RR++L+++L+RLLRL++++++R+RLR+L++RLL+++LR+LRRRLLLLLRL+RR+++R+LRL+R+R+R+RLL++++L+RLLLLLRLL+RRLR+++++++R++L+RL+L+LRLR+LL+RRLLRL+RL+RRLRR++L++LRL+R++LRL+L+++LLRL+RRLLL+RL+LLRLLRRL+L+RRRRLRLRL+L+R+LRRLRL+LRLLL
RRLLRRL+RLRL++LLLL++R+LLLL+L+RLRLR+L++LR+LRLRL++L+++L+R++LRL++RR++LL+++LLR+R+RRR++L++LL+R++LL++LLR+R+RL++L+LRR+LR++L+R++L+LRRRLL+RR+L+RL+LR++RLRRRRR+++LLLRLLRLRL+LLLLL+RL+LRRL++++LLLL+L+L++RL++LR+++RRRLRRL+L+RL+LR+L++R+LLLLLRR+RLLLLR+R+LLL+L+LR+++++LLL+RLLLRR+RR+RLL+RLRLR+RR+LR+RR+R++++LL+R+R+L+RLL+LL+RR+++R+RL++RLLRRR+++RLL+RR
LL++LLR++R+LL+LRRRRRLLLRLL+LL+++RL+RRRRLRRLLRRRR++R+R+L+++RR+++LLRLR++LRLLRLLL++LR+R+R+R+LRRRRLRL+LRLRL+RLR+RR++R++L+L++L+L+++RLRRLL+RL+++RLRR++L+L+L++LRR+RRRR+LLLL+RL+L+LL+LLRRR+LLL+R+R+RRRL+RL+R++R+LR++RRRLL+R+LRRRRLRRR+LLLL++RRR+RRLR++L++RR+LRLRLLRL+LL++++LL+L+L+LLRR+LRR+RLLLLL+R++R++RRRLLLL+RL+LLLRR+R++++RRLL++++LLL+LL+RRLL
RLLR+++L+RRLRL+L+L+L+RR+++R+RL++RR+LL+RL+R++RL++R+RLLR+R+RRLR+LRL+RRL+LRL+RRR++RRL+L++++RRR++++++LLLR+++RL+LL++L+LRLR+LR++RL++L+++LR++LRLL++R+L+R+LLL+L+RL+L+R+RRRLLL+RL+++RLLL++RR+RLLLR++LLRLR+LLRL++RLRLLRRRRRR++RRRL+L+RRLL+++R++LLL+LRLLR++LLRLRRLRL++LR+LRR+LRRLR+RLL+++RR+RL++++L+R+L+RRRRL+R+LL++R++L+LRRR++R+LRRRRRL+RRL+RRRR+LR
+R+RR++RRL+RL+R++RLRL+L+RLRLR+LLR+RR++LL+LLRLRRLL+RLL+++RR+RLLLRLLRL+++++LRLL+RL+R+LLR+R+L+LLRLR+LRLLRR+++RRL+RLRRR+RR+++LL+LRLLRL+L++LRRRR+RRR+RLL+RLLLL+LRRL+RLR+R++RLL+L+R+RL+++R+++LRRLLLL+RL++LRLLRLLRLLRRRR+LLRLRL++RLL+LR+RL+L+L+LL+LRRLL+RRRLLLRL+L+L++R+LLRRL+LRRLLLLRR++RRRL+LLRL+RRL+R+L+LL+++RLLR++LLLRL++LRRLLLL+LR+RL+L+RRL
L+LLR+RR+LLL++R++R+L+LR+++LL+LR+R+RRLLLLLLL+R+L+L+RR+L++LL+++LRRLLRLRL+RRLL+LR++LL+LL+LLRRRLR+R+R+LL+RLL+RLLL+R+R++R+R+R++RR++RRRLL++++RLL+RRLRRL+RL++LRR+R+R++RLLRR+RL+RL+RRR+RRLRL+RR+RR+RR++RLLLLRL+++++R+LLLRL+L+R+RL+++++L+RLL+LL+LLR+LRRL+++RRLL+++L+RLL+R+LLRR+RRRLRR++R+L+LLRRL+L+LLLRR+R++RL++L+L+++RLLR++L++R+++RRR+L++R+++LLL+
R+RRLRLRR++RRLRR++RLLL+LL+L+RR+LRRR+RL+RRR+R++RRL+L+LR++R+LL++LL+LRLR+RR+LRRR++R+LLRLRLRLLL+RRLR+LLR+++LLRRRRLR+R++RRR+LRLR++RLRL++++L+LLL++RL+RLLR+LR++LRLR+R++RR+LL+RLLRR+R+L+LLR++LLLL+++R+++RLLR+LL++RLLLL+LRRLLLLLLR+RL+LRR++R++LLLRL+LRRR+LL++RR+L+LLR+RL+LL+RL+++++R+L++L++LRRR+LL+R+R+++R++L++LRL++LRL+RR+RL+LR+R+R+RR+RRRRLRL+LR
++RL+RLR+RR+RR+L+RLRLL+RR+RL+R++LLLL++L+RLR++LRRLRR++LRRRLRR+L+RRL+RL+R++++LRRL+L+L+LLLR+R++L+R++LR+LL+R+RLRRLL+R+LR+LLR++LR+++++LRL+R+RRRRLL+++L+RLLR+RLLRR+L++L+R++R+LLRL++LL+R+R+LLL++LRL+++R++RLR+L++R+++LR+LL++RR+LLL+R+LRR+L+RRR+LR+RRL+LL+RLRRR+L+R+RLRLL+++RRL++L++L+LLRL+RLLR+LL+RR+L+RRRRLL+LRL+L++RLLR+LLLLL++L++RRRRRLRRLRL+R
+L+++RRLLLLRLL+L+LR+LLRLLLLLLRRL++RL+L++RLLLLRLLLLR+RRRRR+LL++L+++R+L++++RRRLLR+L+L++L++LL++L+L+++R+R+LL++RRRRRLLRRLLRR+LRRLLLLL+LRLRLL+R+LLRRL++RRRR+++++LRLL+L++RLLL+R++RRL+RRL+L+LLLRRR+L+LRL++L++RRRL+RL+RL++RLR+++R+LL+RR+RL+R+++LLLLLL++RRRLRRLR++R+R+R+++LR++L+RLLR+LLR+L+L+LL+L++++LRLR+R+RLRLL++LLRRLR++R++RL+R+LLR+LL+++++RLRRR
LLR++RL+RLRLL++RLL+++LLLR+R+++L+++R+R+L+LLL++R+L+LRRR+L+L+R++++RRLRL+LLLLL+R+RLRRLRL+RL+L+L++L+LLRLLLLR+LL++LLR++RRRR++LLR+LLLL+LRL+++L+RLR+RLLRR++LR+RRRRL++RRL+LR++LLLRLL+RLRLRRR+LR++L++RRRRL++LRRL+RLRRR+RLLRR++R++RLRL+RLRL++RLRLR+LLRRRRRRRR+LL++L+++LL+RLLLL++RRRL++LL+RR+LLL+L+LLRR+LLLLRR+++LRLRRLLL+++RR+R+R+LLR+RRLR+L++RRR+LL
RR+R++RLR+LL+L+LLLLRLLLL+LRRR+RRL+LRRLLL+LRRRR+R+L+LLLR+RL++RLRL+RLLLLRL+RRLL+LRRRRRR+RLRRRLLRRRLL++++++R+++R+LR+RLL+L+R+LRR+L+++L+R+++++++R+LLLRLLLRLRRLL+LRRL+R++L+RLR++R+R++R++RR+RR+RLLRR+L+++RR+RRLRR++LLLL++RRRLLRL+++R+L++LLLR+L+LL+R+R+RLR+++++RL+LL+LR+R++RRL+R+R++R+RRRLR+RL+LRLRL+RRRRRRRRL+L+++LL+LLR+LL+RL+L+R+RR+RLLL+R+++L
LLR+LLR+LRLLL+R+LR+R+LL+LL++RLRL+LLR+LRR+LRRLLLRLRLL++L+RR++RL+++L+LRRRRR+LLRLR+L+LRRLLLRLR+R+++LL+RL+RRLRRL+R+LL+L++LRLRRLLR+LL+++L+RL++R+RLRR++RRR++LL++R+LRL++R+RLL++RLR+LRRLLRLLR+RLL+RLRLL+LRL+LLLRRLLL+++LLL+L+R+RRRL+RLR++L+R+LLLLRL+++LLLL+LL+L+RRL+LR+L+L+L+LL++++LRLRLRRRR+RRLR+RL++L+L+RLLL+R+LR+++R+L+LLLR+L++RLLLLLR+LRRR+++
LRR+L++RR+LL+RL+LLLRL+R+R++++L+R++R+R+R++LL++LL+RLRL+RRL+RR++LLR++LRLRRR++RR+RLRR+++RL+RLL+L+++L++++LLLR+RLLRRL+LLLLRL+++RLRRL+++RLL+L+RLRRLL+++R+L+RL+LRLRL+RRR+LRR++++++LL+LL++L+L++++R+RR+RRLRRLL+++++R+RRL+R+L+LR+L++R+LL+L++++LRL++RLRLR+++++++LL++++LLRRR+LR+L+L+R+R+RL+++++R+RLLLR+R+L+LRLL++R+LLL+RLLL+LL++LLRRR+++LL++LLR+LL++LR
RLRRL+LRLLRL+RL+RRLL+L+L+RLLRRL+++RRRLLLRLRRRL+++++RL+R+R++RLLL+++LR++LRRLRRLLL+RL++L+R+L+LRRLRL+R+RR+R+LLR++L+L+RRRR+LL+RL+RLR+L+RLL+LRRRLR++RL+L+R+++L+RLRL+L++R+LL++R+++R+R+RLRLR+RRRLR+R+RRRR+RLLRR+++LR+R+L+L+LLLRR++L+RLL+L+L+LLRL++R+L+LLRR+++LLL++LRL++L+++R++RL++LLRLRLRLL+LR+RR+R+++LRRRR+LRLLLRLLRLLLRRRL+LRLRLLRLL++LLRLRRLLL
RRRL++LLRR+L+L+LR+RRR+RLRRRLLL+LLLLLR+++R+LR+RR+RR+++LLL+RR+LL+LL+RRLLRRLR+RRLL+R++R+RRL+R+LRLL++L+LLRRL+RRRLL++RLLRRRLRLLLLR+LLRRLLRLRLR+LRRLLR+R+L+L++RRLRL+RLLR+R+R+RRLLLLRRLLLL++L+R++LR++RLLR+RRLR+LRLLLRLR+L+L+LLLRLLLRL++L+RLL++R++LLRRLL++LLLRLR+R++R++LLL+LLRR+L+LLRLRR+LLRRR+++R+RRRLR+R+L+L++++LLLRR+R+RRRR+LLLRR+LL+LR+LLR+L+
RL++R++++RLRRR++RR+LR+R+R+LR++R+LRL+L+LRRLRLRLLLLL+LLRLLLLLLLLLRR+RR+LR++R+LRL+L+L+LL++L+LRL+RL+++LR++RLR++LRLLLLL+RR+RRRR+LR+RRLL+RR+L+LRLRLRLLLL+RR++RLLRLRR+RR+L+R+RLL+LLL+++LL+RLRL++RRRLR+LL++L+LLRL+++LR+LL+++LLRL++L+RL+RL++R+RL+++R+RLL+LLLLRL+LRRLR+LRRLLLR+LLLR+RLL+R+++LR+L+LLR+++L+RLRLLRRRR+LLL+RRRRRR+LRRLR+RL+LR+RL+RLRRL+
RLR+R+LRR+LRRRRL+RL+R+L++RR+R+RRLR+R+R+LLR+RR++RRR+LR++++LRRLL+LL+LR+LR++RLRLR+++LRLRL+RRL+RLRLLLL+RL+LRL+RLLRRLLLLLLL++R+R++++L+R++L+LRLRRRLRR+RLRLRRRRRLRRR+R+++LR+RR+LL+RRRRR+L++++R+RL+RRL+LL+RRRR++LLLL++L+LR+LRRL++L++LRRRLRRRR+LLR++++++R+L+LLLRLRL+RLRLLLRL+LLR++RLL+LRLLRLRLLL+RLL+RRL+++RRRLRL+LLRRLLRLL+RLLR+LRL++RLR++RRLR+LR
LLRLRL+++LRRR+LRL+R+RLR+L+RLRLL+R+L+L++LRL+RRLLRRRLLLRRRR+L+LRLR++++R++RR++RRLLL+LLL+RLR+++R+RR+LRLLLRRRLRRRRR+RR+RL+L+LL+LLRRR+RLLLL++R+RR+LRR++L+RL+++R+R+++LRLR+RR+R+RRRL+RRLLL+R+RR+RL+++RLL+LRRLL++R+RRL++LLR+LRLLLRLRR+R++RL++RLLL+RRLRLRRL++LRLLRRRLL+RR+L+LL+++RLLRRR+L+LR+L+RRRR+RLRRR+L+L+L+LLRR++R++L++R+L+L+R++LRLLLRRLLR+LR+
RL+RLL+++LLLLLRLRRR+R+LL++++RRLR+++RL++L+++L+L+RRRL++R+LL++R++LRLRR+LLRR+LLRRR+LLR+LL++RLRR+RL+LRRR++R+RL+L+R+LRRRRRRRL+RRRR+R+L+LLLLR+++RLR+L+++LRRLRRRLL++R++LRLL+RR+LL+L+L+RLLL+LR+LLLLR+RLLRR+RRL+RR+L+++R+L+++LLRRRL+R++LR+LRL+RL+LL+R+LR+RR+RLLRR+R++R+LRLRLRRLR+L+RLRLLL+R++RL+LR+RRRLLLL+RRRRRLRLLL+L+RRRRRRLRRRLR++RLR+RLLLLLR+R
RRLLR++R+R++RLRRL+R++R++LR+LL++LLL++RLL++LL+LRL+RLRRLLL++LRRLR++L+LLRL+++LRRR+RLL+L++L+L++RRLL++RL+LR+RRR++RL++RLLRR++R++LLRR+LRLLL+LL+R++RRLRRRL+++LLL+L++L+L+RL+RL+++LRLLR+LLLLLL+RRLRL+RRLLL+L+++LR+RRR+LRRL+L++LR+LRR+RRR+RRLLLLL+L++++R++LLLRRRR+RR+LRL+R++++R+R+RRR+RLRRR+R+RLRRL+L+R+L+LRLLL+L+RLLLL++RRR+RRRLLLR+L+RLL+LL+LRRR++L
RLL++LLL+R+RRR++LL++L+L+L++LL+LL+++++RRLR+LLLL+++L+R+LRL++++LLR+R+R+RLRLR++RL+R+RLRR+RLRLLLLLRLLRL+L+RLRL+++LLL+L++RRL+L+R+RLL++++L+RRLRRLLR++R+LL+RRLLL+LL+L++LLRRRL+L+RLRL++RRLRRRL+++R+RLL++L+RLLRRRLRR+LL+RLLLL+++R++RLRR+LRL++L+L++R+RLR+R+LRLL+RR++LRLLLL++LL+LLL+R+++R+LLL+LLLLRR+RL+LL+RRR++R+R++LRRRL+LRR+LL+L+LLRRR+R+RRR+RRRRL
L++R++L+LL+R++R+RL+L+L+R+RL+RLL++RLRRL++LL++L+L+LLLLLL+++RRLL+LR++LLR+L+LLL+LRR+LRLL++L++RL+RLRRR+LL+L+++RLR+LLL+RR+RLR+LR+LRL+++RR++LRLLRLLL+LRLRLR++L+++LRLLL+LLRRRRRR+RL++RR+R+LRRLLL+RR+RLRRRL+++R++LLL+LL+++LL+L+LL+RR+++RLL+LRL++RLLRL+RRLRRR+++RLL+++R+++RRR+++L+RRLR+LRLLL++LLL+RL+LRRL+L+++RRRR++L++RLR+LLRRL+RLRRRL+LRRR++L+LR+
LL+L+RRLR++LL++LLLR++L+R+++L+++++RRR+LR+RR+LLRR+LLL+LLR++RRRLR+LRLRLR+R+LR+L+RLRLRLRR++R+R++LLLLR+R+LL+++RR+++LRRLRLRRRRRL+LLR++RRRL+RLLL+LL+L+++L++LR+RLLLRRLLL+LR+R+RL+L+R++LRLRLRL+R++++RLLLR++LLLRRRRRRL++++R+R++RR+RLLRR+L+L+RR++R+LR+R+L+RL+++L+L+L+R+++LRLRLR+RLLRL+L++LL+R++R++RRRRR+LLRR+LR++L+LLLR+RRR+L+RL+LRL+R+RRR+++RRLLRRL
+++++L+LRLL+++++R+LL+RR+++RLRLLR+LLRR+RLL++++R+R++R+++L+++LRLRL+LLRR++L+++RL+RL++RR++RRLRR+R+R+RLL+++R++LRLRRRLR+RRR+R+L+++LR+RRLRL+LLLR++LL++L+LRLR++LRLRRL+LLLR+R+RLLLRL+L+++++LLRLLR+LR+LL++RL+LLRR++LLLRL+++RR+LRR+L+RL+L+R+LR+++LLRRLRRLLLRLRL++LRL+R+L+LLL+LLL+LR++RL+RLLRL++++LLR+RL+RLL++R++R++RL+RR+R++RR++R++LL+RLL+L+L+LLLLR+R
LL++L+++R++LRL+LR++LRLRR+R+RRLLLLRRLRR+LR+++RR+RLLLRL+R++L+LR++L++RLLL+RL+RLRLRRRR++++++++LR+R++RLRLLL+++++L+RLRRRLLL+RLR++LL+RRL+R+LL+LRLLR+LR+LRLLL+++LL+LL+LL+R++RRRRLRRLLRR++LRRR++RL++L+RR+L+LLRRL++LRLL++R+LLRLRLR+LLL++R+RLL+L+R+LL++++LL++RRR+LLLRRR+LRR+R+++++RR++R+++LRRRLRR+LLRLLLLL++LR+LR+RLR++LLLRLL+L+LLRRL+R+RLRLRLL+LLL+
R+L+RLLRL++RRLL+R+R++LL+++++LLR+RL++LRR++RR+LRRL+LRLR+L+L++LLLLR+RR+LLRRL+RLRR+RRL++R+++R+++LR+LLLR+LL+R++L+LR+LL+R++LRRL+R+++RLL++LLLLRLLLLR+LL++R+LLRLLLRLLL++L+L++++R+RR+++LRLRRL++LLLL+RL+R+R+LLLL++L+RR+R+R+RLLRRRR++LRL+++R+LLL+LR+RLLLLRR+LLLLLRR++R++++LRRLL+++LLLRR+LRRR++LRLRLRRL+R+LLLR++++RLL+R+L+LLLRRR+R+L+L+LL++RLLLRR+++L
RRR+LRL+LLL+LLRRR+L+RRL++RLRRR++LLLRL++R+R+LL+RRLLL+++RR+RLRL++R+RRL+RRLRRRRL+R+++RLLRLL++R++++R+RRR++LR+LRL+RL+++L+LR++RLRLLRLLRLR+RRR++LL+LLRRLLRLL+RRL++LL+LLR+LL++LRL+LL++R+LLL+++RLL++R+RRLR+RLLRRL+RRL+L+RL+RLR+RR+R+LRRLLR+RL+LRLRLRR+++L++LRLLLL+LLRR++LRLLLRLRRRLL+++LLRRL+L+L+L+R+L+LRLLRLL+++++LL+++LR+RR+R+L+L+LL++RL+++L+RRL
+R+L++R+RR+R+++RLRLRRR+LRL+LRL+LLLRR++RR+++L+RRLRRRRL+RRLL+RR+L+LRR+R++L++LRL+R+RR+LLRRL+LR+RLLRRLLRRLRRR+RL+RL++LLLLL+RLRRRRLR+L+LRR+LLL+RLLLRL+++LR+RL+LRL+R++L+LRLR+L++LLLRR++R+R+RRLLL+RL++LRRR+++LL++RR+LLRRLL+LLRRR+RL+RLLR+R+LR++RLRLLRL++L+LRLLR++LRR++++L++RR+LRRR+RRLRLL+RRLR++L+LL+LLLR+R+++R+LR+RLRR++R+LLR+L+LL+RRL+RLL+R+R+
R++LR+L+LR+R++LLR+RL+RL+R+LR++RLRL+RRR+LRLL+RRRLR+RLR+RLLR+RR++LLL++L+RL++LRL+LLL+R+RRRL+RLL+RLRRL+R+LR+LLRRR+L+L++++RL++LRR+++RLL+RRR++RLR+RRLRLRL+++RL+R+R+LLL+R++LRLLLLLR+++LRRRLRL+RLLL+RLL+LRR+R+R+R+R+++LRLLR+RLLL+LR++RR+++RLRRR+R++LLR+LR++RLLLLLR+RL+LLRR+++LRL+L++L+RLR+LRL++LL+LLL+R++R++R++RRRLRLRRLLLR++RRRR++LLL+L+RR+R+++L
LLLRL+L+RL+RR+R++RLR+L+LLRRR+R++RR+LLR+R+++RR+LR+LL+R+L+R+RLLLRRRLLLLL+R+LL+++RR+LRRRL+LR+RLRLL++R+LRRRLL+RLRRRLLLR+RRLRRR++RR+LLLRR+LR+LLRRRRRLLLRLRRRR++L+RRL+RRLRR+LLRR+R+++++R+L+L+LL++R++LL+L+R+R+RRRLLRLR+R+LR+RR+RRR+LLRRR+LL+RL+R+LRR+L+LRL+R+RRRLL+R+R+LLLLLR+++R+LRR++L+++RLLL+L++++RR++RR+LRLR+LRRLLLRL+RLR+R+RR++R+RR+L+LRLRR
RRRRLRRLLL++RL+RRLR+L+LRLLR+L+RL+LR+L+LLLRRL+R+LL+R+R+++LLR+R+RR+RLRLRR+LLLLL+RRRRLRLL+RR+LR+L++LRRRR+LLRLLRRLRL++R++RLLR+LRRRR+RRRL+R+RLL+RR+LL++L++RRR+RR++LR+RRL+L+LR+L+L+++++L+LRLLLR+L+++RRRRR++LRR+++++R+L+LRRLRRL+L++RRLLLRL+LRLL+++RR++R++R++L+LRRRLLRL++RLL++R+++LRLLLLLRR+RLR+LR+R++L++LRR+L+R+RLRR++LRLLRLLLRR+RL+RRLR++R+RR+L
LR+LR+LL+RRRL+L++RLLLRRRRLRLRL+++LR+RRRLLRR++LLR++RR+R+RLLR+LL+++LRRR++L++RRR+LLRRRR+LLRLLR+++LL+RR+LLRR+L+LL+LLRRR++L++LRRR+RRL+LR+L+R+L+LR++LLLL+R+L+L++RRRL+++RR+R+LL+L+R+LR++LL++RLR+LLR+LR++RR+R+RRR++RRLL+LRL+RL+RL+RLLL+LR+R++R+LRLRLLRLLRR++R+LR+RRL+RL+LLRL+RL+LLR+R++++LR+R++L+LRL+RR+LL+LRRLL+RL+RRLR+L+RL+R++LRLRLRRRLL+LR+RR
RRR+RL++RRLLRR+++R+RLRLRRR+R+L++LRLLLRRL++LLLLL+++LR+L+RRR++R+++LL+RR++R++R+RLRLRR+RLL+LRR+LL+R+RL+LLRRL+RLR+R+RRRLLRR++++L+R+RR+RRLL+RRR+RLRRRLRLLL+++L++LRLL+++R+RRR++LLLL+LR+R++RR+++L++LLR++R++LR+R++RL+RRL+++L+LRR+R+RL++LL+RR+L+RLLLR+L+RRR++LLR+RRRLLL+R+R+LRRRRLLRR+RR++LRRR+LLLR+LRRRR+++L++++RLLLL++LLL+RLLRRL+RLLLR+RR+R++++RR
+R+RL+R++R+RLR+LL+LLLR+R++LL+RRRLLR+LRL++RRR++L+RR+R+RRL+LLRLRLL+RLRLL+LRRRL+RLLL+LRR+LLRLR++LLR++LRLL+LRR++LRL++LL++LL++LLR++LRL+RLR+++RLLL+RLLRL++LLLLLLL+LR+LLRLRLRRL++LRRLLLRL+++LLLLRR+LLRL+++R++RLR+LL++RRRLLRR+L+++L+RRL++L+RLLL++LR+R+R+RLL++LRR+RRL++L++L+L+RR+++++LRRRR+++LLLL+RLRL+L++R+RLR+++RLL+LL++R+LR+RLLLRRRRR+LL+LLRL+R
R+RLLRR++LL+R+++RLRRRLL+RRLR++LLLL+++LRRR+RRLRLR+RRLR+RLLR+RRRLL++LL+RRRR+LRLRLRRRLLR+RLR+L+++LRR+R+L+LL++R+L++R++RRLLL+R+R++++LRL+LR+RRL++LL+L+LLL+LLLLLLLLLLRRLRLLL+L+R+RLR+RLL+RRLRR++R+LL+++++RLL++LRRRR+RRRR+L+L++RLLLRRRRRR+RRLL+L++L+RL+RRRLRR+RL+RR+LRRRLL+RRLRL++++++RRLLL++R++L+RRR++LR++LLL+LRL+LRRL+LRRRLLL++++R+R+LR+L+LLLR+
+RLLLRR++RR+RRRRRRLRRRRL+LRRR++LR+++++R++LLRLRRL++L++LLL+LR+LR+++++RLR+RLRLRLLR++L+R++LL+RRRLL++++LRL+RRRRL++RR+++LLR++RRRLR+RLLL+RRRRL++LR+LL++RL+RLRRLLLL+LR+R+RRRL++++L+LLR+LRLR++L+RLRL+RLLRRRLR+LRRLRR+L+L+LLR+L+LRR++L+L+L++++L+LRLLLLRL+RL+LRL++RR+RR+RR++R+RRRL++LLL+LL+RRRRLL+RLLLL++LRRLR+L+RRLRLLRRL+RR+LL+RR+LL+++LLR+L+L+R+R
LRRRRL+LL+LLL+RRLR+R+++R+RLL++LLLLR+LLLR+L+RLL++RLR++RRRRRRLL+R++LR++LL++LRRL+L+RLR+L+L+LLRL+LL+++L++L+LRL+L+RR+LRLLRLR+LLLL+LRR+LLL+RR+RRL+L+R+LL+LL++RLRR+RLR+R+LL+LL+RLL+L+LLR+R+LRRRRRRRLL+LRR++LL+RR+LL+LLR+++RL+L+LL+++L+LL++LLL+RRLLL+R++++++++L+RRR+R+RLR+RL++LRL++RRRLR++RLRLL+LRR+LRLRL+++RR+LLR+L+RL++LL++L++R+L++L+RRR+R+RRL+
LL+L++++RR+LRLR+L+LLL+R+RLL+L+L+++RRLL+LL++RRRR+R+R+++RR++LLRR+L+LRRRLLLRR+RLRR++RL+RR+LL+RRRRR+R+RR+L+++L+LRL+LLL+L+RRR+R+LLRLLLRLRRLR++LRL+RLR+LRLRRLL+LRL+LLRLRLLRLRL++R+LR+L++RR+LLRL+++R++RRRLRRL++RRL++RRLRRRRL++LLL+R++RR+RLRLL++LLRLRRLR+++LLR+RRLLLL+RLLLLLRR+RRRR+LRRL+++R+LR+LRL+++LRLR+L+L++LRLR++L+RR+RRR+RLRL+RLL++L+R+LLLL
L+R+L++++RRLLRRRRL+R+LLR+LLLL+L+LR++LLRRLRL+LRL++R+RL++R+L+RRLLR+RL+RL+RL+R+RLRLL+LRL+RRLLRLLL+L+R+L+R+RRL++RLR+++LLR+RL+LL+++R++LLR+R+R+LL+LRRR++L++LRRLLR++RRLL+R+R+RRRR+LR++RR+R+RLL+RR+LR+LLLL+RLRRLL+RLLR+++LLR++LLRL+L+RLLLLLLR+RLRRRL++L+LLLLLRRLLRR++RR++LL++RL++LLRL+LR+LR+RLR++RRRR+L+RR+RRL+L+R+LL++LLRRLL+LLR+R+RR+++++++L+++
RLRRR+LRRL+LL+++L+LL+RL+LR++R++LR++L+R+L++RLLRRLLRLRLRL+++R+LL+RR+R++LLRRRRRLRL+LL+L++LLLL+++R++LR+LL++L+++R++RL++LLLRLL++RRRL+RRL+LLLRLRLRRL+R+R+RLL++LL+L+LL+R+++LRLR++RRL+LRR++RL+LLL+R+LR+LLLLR+++LLL+LR+LR+L+++LL+LRLRL++++L+L+L++RLL+++RL+LRLRL+LLR+RL+RL+LL+RRLRR++LLRLRL+++++L++RL+++RLLRL+++RL+++RLL+RRL+L+RLLRRLL+RLLRLL++R++RR
RRLL+RR+++LRRLR++RR+L++LRR++R+LR++++RRL+LRRLRL+RL+LLL+RRLLL+R+R+L+RLR++LRRRLLL+L+LL+R+++LL+LR+RLRLR+R+LR+++LRR+R+RRRLLR+LR+RLR+L+++LL+++++LLLL+RRLR++LR+LRLLLR+LLRL+RLR+RLLLR++LLLRR++LLRLRRLRR++R+RR+LL+LLLRR+LRRLR+RLR++LRLLR+R+RL+RLRRL++RLR+RRR+R+RLL++++++R+LRR++LLL+RL+L+RRR++LLRR+++RLR+LLL+R+++++LL++RR+++RLR+R+LLLLRRLLRR+LLLRR+
+RRR+++R+R+RRL+LRR++LR+R+L+RRRRLL+R++++RLLR+++++L++RRLRRLRRLLL+++RRLLRRLLRRRR+R+RRR+LLLR+R+LL+R+R+RR+RR+RLRL+L+LLLR++LL++R+LR+RRRR++R+RLLLRLLL+L+RLRLLRR+RLRLRR++RRR++LLRR++LLRRR++R+LL+LR+L++LR+R+L+R+L+++++RRLRRRLL++R++RLLRLRRLLLLLLR++RRRL++LR+LRLL++RLRLLLR+LRL+LLL++RLL+++LLLL+LRRL++LRRR+RRL+RLLR+LRL+LRR+LLL+R++L+LR+LLR+L++RRRL+
+RRLRL+LRL+LLLLRR++RRRRLRRLRLLLLLLRR+R+LLL+LRR+LLR+++RL++R++LLRRLR+R+LLLLLLLLLRRRLR+R++RLL+R++L+R+RL+L+RRR+RRL+LRRR+LLRRLRRL+RR+RLLR+RRL++LL+R+R+LLLLR+LRL+R+L+LLR+RLLLR+LL+R++RLLRL+R+LL+R+L++RLRLLRLRR+LLRR++R++LLRLL+LRRLLL++LL+LLRLRRL+LLLRRRLLR+RLLRL++RLLRRLRRLL+R++RLL+LLL+LL++LLR+LLL++LLRLLL++RLL+RLL+RR+RLR+RRLRLL+LLRLRLLR++RL
R++LLL++R+L+LLR+RRRLRRLRL+LLLRRRL++RRL++R+LR+RLR+LL+RLLRRLLLLL+R+L+++++L+LRR+L+++L+++RLLL+LR++L+L+LR+R++RRL++LRL+RLRL++RLLRRRL+++R+RLRRRRR++L+RR+RLLRRLLL+++L++L+LRRR+LRLLRR+R+LRL++RLRR++R+RRRRRL+RL+LL+L+RRLLR+RRRLR++LLR++RR++LRRRLRLRRRRRLLRLRRRL+LLLRR+RRLRR+++RRL++LRR+L++RRRRRRL+L+RRL+R+L+L+LLLLLL++RLRL+L+LLLR++LLLLL+++L++LR+L+
+LRRRR++RLR+LRR++++LRRRRRRLRL++RLLRRL++LRL+++L+RL++LRLLRRR++L++R+RLLRLLRL+RRLLLR+RRLLLRL+LRR+L+RL+RLL+L+L+LR+LLL++L+RL+R+LRRRL++RLRL+RLL+RRLRRL+RLL+R++LRL+++R++++RR++LL+LR++++RRR+RLR+L+L+LL+RRLL++RR+LLLR+RRL++RLRLLRLRLL++LLR+LL+LRR+L+LRRLRR++LRRRRRRRL+R+L+L+++RRLL+LRLLRR+L+LLRRRRR++RRRL++RL+RLR+LR+RRL+R+LRRRL+LRRRR+RR++R+R++R+R
RL+RRRRR+RRRL+RRRRRR++RLRLL++RLR+LL+LLRRLLRRL+LRL++LRRLLRRRRLLR+R+R++R+LLLLRL+L+RRL+LRL+RL+LL++L+LRR+LLLRRR++L++LL+++RLL+R++RRLR+R+LLLRLL+R+R+RL++RLLRLLRLRRLR+LRR+RLL+R+RR+RLR+LLLL+LRLRRLL+LRL+L+LL+LRRR+LR+RR+RRLRLRLL+L+LL+LL+LLR+++++LRL+LRL+RRLRLRL+R+++L+RRLRLLRL+LRLR+L+RLLLL++RLLRRRRL+LL+++RR++LLL++RR+R++LRRRR++RLLL+RRR+R+RR+
++LRLRRRR++LRRLRLL++L+LRL++++RR+R+R++LRRRL+L+LR+RLLR+R+LL+LR++++LLRRRLRRR++RLRLL+R+RRR++LRLR+LR++R+RRLRLLLLLR++RRLR+LLLL+LR+L++RLL+R+RL+LR++RRRR+R+LRRRRLR++RRRR++L+RR++RLRRRR+RR+R++++RLL++R+RR++++LRR+L++R++LL+LRLR++R+RR++RRRLL+++LLRL++RR+LL+++++L++R++LRLRLL++L+RL+++++R+RRRLLLRL++LRL+++RRR+LRR++RLLLRLL++++RRLRLL+LLLL+LLLRRLL+RLL
LRRR+R+LR++LR+++RL++++LLLRRLR+LLLR+++LL+LRRLR++++R+RRLRLRRL+R+LLLRL+LRRLRLLL++RR+R+LL+LR+L+LLRR+L++R+RRLL+RRRR+LLLR+RLL+L++R+R+LLLR+L+RRLLLLLRLRLR++RRRRRRRR+RL+LR++RR++++RLLL++L+++RLR+++R+LL++LRLR+LR+R+R++++LRRRR++LR+RR+RLLRL++L+L++LL++RLLLRRRLLR+L+RLR+RRLL+LLRRLL+LR+R++LRLLLLLRLLRRRL+++R+LLL+RL+RL+LRR+RR+RRR+RRRLL+RR++++RR+L+L
++RLLLRRRL+RLRR+LL++LLR++LL+++LRL+LL+L++RLLL+RLR+LRR+LLR+++L++L+L+LR++L+RLR++L+LR+LRRLR+RLR++RRL+LRLRLL+LRLLL++RL+LR+RRLR+R+L+RRLR++R+L++R++L+R++LLL++RRL+RRR++RLRLLL+R+R+LRL+RRR++R++++R+LLLL+LRLLR+LLLLRRRRL+RRR+L+LR+RRRRLL+L+L++RLRL+LLRRRLLLLR+R+LLLRRR+LLLLRR++L++RLL+R+R++RLL++RLL++LLR+R+LRRLL+LLLLLR+RLRLLL+++++RRL+LR+R+++L+RLL
LR+LR+++RL+R++LR+L+++LR+RRR+LL+R+L++RLL+R+RR+LL+R++R++LRR++R+RRRL++R+L+R+R+RRRLR++RRR+LR+LRR+RRR++++RRRLRL++L++LRR+R+L++L+LLRR+R+R+L++LLLL+LLRLRR+LRRRRRR+LL++L++LRR++RL++R++R+L+RLLRRRRRR+++R+L+L+L+RLLR+++LL+R++RR+L+LR++R+L+R+L+LLL+RLLRLR++LL+RLR++LLLRR+RLRR+R+RLL+LL++LR+L++L+R++L+LRLRRRR+++R+RLR+RLL+R++RLRRLL+LR+R+++++R+LLRLLLL
RR++RRLR+LRR++++LRRR+++R+RR++LR+RRR+R+RR++L+RLR+RR+LL+RLR+R++LR+LL+++RRLLL+LL++LLLLLRRL++RLRLR++LLRRRRLLR++L+L+LRL+RLLR++R+LLLL+RLRLLRRRL+++RRLLLL++++++++++RRRRR+RL+RRL+LRL+R++L+LLL+RRRRR+R+RRRLRLLRLR+RL+LRRR+R+LLR+R++RL+RR++L+RL+LL++LLL+++R+R+L+R++LLRL++LRR++RRLRRLRRR+LL+L++L++++RL+++R++LRRL+LL+R+LLL+RR+R++LLRRR+LL+L+++RRRRLLL
LR++RLRLL+++RLRLRL+R+R++LL++L+L+LLRRRLLL+LLLR+LRR+RRR+R+RR+R++LLLLRLRL+L+LR++LL++LLLR+++++++LRLLLLL+LLLLLLLRL+LLLLL++RLLR+RLLRRRL+LR+R+L++L++L++L++RL+++++++++LLRRLRRR+++RLL+R++++R+L+L++R++++RL++RLLLR+LLLRLL+RLLRR++L+LL+LL++RRR+LL+L+LL+R+LRLRL+L+RL+LR+R+++R+LLLLR+LR+LRLLR+LL+L+LL++LL+R+RRRRRLRLLR+LRRRR++R+RR++RLRRR++LLR++RL+L+LL
RRLLL+L+++LRL+R+LRRLLLLRR+R+L++R+R+RRL++LRRRRRRRL++RLRRRRRRR++RRLRLRL+RLRR+LRRRRR++RL+LR+R++R+R++RRLLRLLL++++RRL+RL+LR+RRRR+L++LLL+++LLLR+LLLLRL+RLLL+++RL+LRRLR+RRLR+LLLRLR++++LL+R+RLLL+L+RR++RLL+R+LLR+RRRRLLLRLR+R+++++L+RRLRRL+R+LLR+RRRR+++R++LRL++++RL+LLR+R+RR+RLLRR++L+R+RL+L+L++LLLLLR+RLLLR+++LLR+LRLLL+LLRR++L+LL++RLRR+R+LRR
LLLL++LRR+RLLLRLLR++R+L+++L+R++R++++RR+LLLLR+R+++LRLLL+L++++LRRRRR+RR+LLL+RRR+RL++LL++LRL+L+RR+RLR++RRR+LRRL+LLL+RL++LL+L+R+LR+RR+R++LRRL+RL++RR+LLRLLLRR+RRLRLLRLRRR+L+L++L++LRLR+LR+R+RL++++LLL++RL++L+L++LRRRLRLLLRRL++LLR+RRR++R+RL+LLLLRR+R+RLR+R+L+R+L+LR+L+RR+L+LLR+RR+RLLR+LL+RRRL++LLR+RR+R++L+R+LR+RL++LLRL+RR+LL+L++RRLLLL+LL+
+R++RLRRLR+L+R+RLRLRR+R+RLRLL+++RRR++RLRR+++R+L++L+RRLRRLRRRR+LLRLRRLR+++R+RLL+++++L+RRRLLRLLRRLRRRRL+LLRR+R+R+L+L++RRRRRRL+RLLR+LRRLL+R++LRLRLL+R+R+RR+RLL+RRLLLLR+LR+RL++RRR++LRLR+L+RRL+LRLL+RR+R++++R+R+++RRLLR+++L+R+RLR++RRLRLL+RLL++L+L++LLR++LRLLRLLL+RRL+RL+LRL+LL+++RLRRRL+LRL++++LRRLR+RR+LRR++++R++LLRR+RLL+RLL+L+L+++R++RLLL
+R+L+++R+RLL+R+R+RRRL+RRLR+RL+RLRRR++R+LLRLR++R+LLR+RL+LL++LLLRRRLL+RLRLLLR+R+RRRLRRLRR++L+L+RRRRLLRLRLL++LR+RR++RLRRLLR+RLL+L+RLLLRRLR+RRL++RRR+L+LLLRR+LRLL+LR+RR++RRRR++L+L++RL++R++LR++LLRLLRLRLLRLLRLRLRL+LLLR+RR+RRRR+R+RL+RRRLL+LL+LRLL+L+R++R+LRRRRLRRRLLL+LL+RRRRLLLLLRL+RRR+RLRRR+LRLLL+L++LRLLRR+RR+LLR+RLL++L+++RLRL++RRRL++L
++RRLLRR+L++L+RLL+R++RLL+RLL++RR+RL+++RLRR+RLRL+R+L+L+RR+LL++++RRLRRRRR+LL+R+R+L+R+L+LL+RL+++RRRRRLRLLR+RRRRRRLR+LRRL+LRLRR+LRLRL+RRRL+LLR++LRLL+LLRRRL++R+RR+L+LL+++L++RLLL++RLLR++L+LLLRR+LLR+LLL+LL+R++L++LR++R+L+RRR+++RRLRLR+LRLL+RLL++RLR+R++L++LL++RLRR+LLLRR+RRLLRLRRRR++++RRL++RLR+RLL+L+++++L+RLL+R+L+LLRR++++RRLRLLLLL+RLRLRRR
++LRLRRRR++RRRL+RR+L+L+L+R+LR+LLLR+L++LRL+LLLL++LRRLLR+L+LR+RLLRRLL+RLRLRR++RRLR+LR+RR+LL+LR++L+R+LRR+LLLL+++L++RRRRLRLRL++L+R++LRLRRLRLR++L++RRRLL+LRLRL++RLLRLRRL+LRL+L+++LRLL+R+RR+L+L++++LRR+RLLL+L++LRLR+LL++LLL+L+RRLR+R+R++L+LL+RLLLL++RRR++L+R+++LRLLR+LLLLLRRRLLRLLRLLR++L+R+L+RLRRLRLR+LR+++LL++RL+++RR+L+RR++LL++++RL+LL++R+L+
R++R+LRRL++LLLR+RRLL+R++++L+RL+L+R+RLR+RL+RLR+RRRLLRR+RLLRRLRL+L+R++LLLLL+LR+++R+RLR+L+RLLRR+R+L+LRRRRLL+LRRL+LR++RL+RRR++RRRL+LLR+LL++LR+LLLR+++++L+RRRLLLR++L+RLLLRRR+L+LRLRR+R+L+LR+LR++++RLRLLL+RLLL+R+RR+LL+LRR++LLL+LR++LLR+R++R+RRR+RL+R++LR++L++LRRR++RL+LLLRRR+LRL+RR+R+L+RR+R+LRRRRRL+++L+R++R++L+LLRRLLLLLL+LL++RL++LRLL+LLR+R
RR+RL+RRR++L++++LL+LLLRR+L+RR+L+RR+RL+LRLLR+++L+RLRRR++L+RL+R+RLLRRLRLRRLR+R+++RRR++LRL++LRR+++RL+R+LRLRL+R+LRRLLR++RLL+R+LRL+RRL++LRLR++LLL++R+LRRR+RL++RRR+LRLL+LL+LRLLRLLRLRR+R+L+LL+LL+++++R+LL+LRL+LR+R++++++RR+L+RLLRLRL+RLRL+LL+L++R+++LRLR+++LLR+LLR+RR+R+L+++++++++LL+L+L+LL+L++++LRLR+++LL++LLLRRRR++LRR+RRLRL+LLLLR++LLRL+LLRL
+LRR++LLR+LL+LLRLR+++RR+RRR+LR++R++LR+RL+L++R+LRLR++L++LRLRLLRL++RLL++R+LRR+RRRR+L++RRL+RLLLRL+R+LRLR+RLR++R++LLLR+R+RLLR++LLLR+R+RLR+LLR++LR+R+RRRLRLR+L++LLL++L+LL++LRL++RR+++L+LL++L+L+R+RLRLR++++RRRL+LL+LL++LRR+L+RRRLRRR+LLL+RL++RLRL+R+LRRLRRLL+R++RRRR+LLRLRLLRLRLL+LRLR+L+RRLLR++L+LRLRRLLRR+L++L+LRLLLRLR+LLRLRL++RLRRLR+++LLLR
RLR++RL+R+++++RLL+LL+L+RLR++LLR+RRRR+RL++RRRLRRR+RRL+R+RRR++++LLLLR+LRRR+RRRRL+LR+RR+++L++++++L+LRRRRLLRRL++RR++LR+R+RRRRLR+LLL+++RLR+R+R++++LLLL+LL+RR++RLL++LLLLLL+RLLLLLLL+R+RRR+L++LR+LR+RRLR+LRLRLRRLLLL+L+L++LL+LL+RLL+L+RRR+++L+LR+RLLRL+++L+RR+R++R+L+++R+LRLLL+LR+++LRLLRRRRLLLL+RL+RLLL++LR+L++LLLLR+RRLLLLRLR+LL+RRRLRRR++L+LR
LLR+LR++LLRR+LLL+R+RLL+LR+LL++RRRLLLLL+R++LL++L+++R+L+L+R+LLRL++R+RRRRLLL+LL+RRLLL+++RRRLL+LRL+RLL+LLR++RR+RLR++R+RRL+L+L+LRRLLL+RRRRRR+L+LRLLLL++LL+RLR+L+RLLRL++LL+R+RLLLL+LRRR+L+LLRR+L+LRL++L+LLLLLR+R++RRLLRLL++L+R++L++RR+L+L+++L++LL+RLLRLRLR++RR+++++L+++L++L+RRRL+RRLRRR+RRLLRR+RLR++L+LLLR+RLR+++L+L+++LRL+RL+RLR+R+R+RRLL+LLLR
LLRR++R+L+L++RR+++LRRRLL++RL+LRLLR+LRLR+LLLLLR+L+L+LL+R+LR+RRRRR+LLL+RLRLLRLL+++L++R+R++L++R+RRL+L+++LLRLLLRRLR+LL+++RR+R+RLLLRLRLRL+RLLL+RL+LL+LL++++R+RRL+RRRR+R+L+LRRLLLLL+RR+RL++LRRL++LL+RRLRL+L+RL+RRL+RRLL++++LRR+LR+RLRRLRL+L+LLR++RL++++LLL+RRRL+R+L++RL++R+R++RLLR++RR+L++++RRRLRLLL++LR+RLRRLRLRR+RLR++RR+LR+R++LLR+L+L+LLRLRR
+RRLL+L+LLLLRLR+L+++L++LL+LLRL+LRRRLLRLR++++LLRLLRRLRLRLLLLL+L+RRL+L+LR+L+L+LR+++L+RRRRRRRRRLLLL+R+RR+RRRR++RLLRLLRRR+L++RLRL+++R+++RLLL++L+LRLR+LRL++R+LR+L+LRRRR++LR++LRR++L+LL++RLR+LLLRR+LL++L+LRRLR+L+++R++RRLL+LRLL+RLR++RRR+LL+L+L++RRRR++R+LRRRL+RRRR+RLRL+LLR+LL+L+L+RRRRLLL+RLLR+RRL++RL+R+LLRRRLLLLRRLL+LR+L+L++L+RLL++RLRR+L+
++LL+L+L++RLL++RLRRRR++L++LRLLRL++L+LLRLRR++RLRRLRL+LLRR+LRL+R++RLLRRL+RLLRLR+LR++R++LRLR+RLRRRLRLL+L+R+LR+RLLLRL+RRRLLLL++LLLRRLLR+R+RL+LR+L++LLLR+RLRRRLR+LRRR+R+RR+L++RRLR++++R++R+LLLLR++R+RLRLR+RR+RLRRRL+++L+RL+RLR++R+RRLL+R+LLLR+R+RLR+LL+L+LL++RRRLRRLRLLRRRLRLLRLRLLL+R++L+LRRLL+LL+RLLRRRLL+L+R+++R+RLLLLRLR+L+RLLR+L+RRL+RRL+
R+LLRL+++RLLLRLLR+RRRLR+++L+L+R++L++R+L++RL+LR++R+LLLRLLLLLLR+R+++LLRRL+L+RRLL+LLRLRRLL+L+L+LL+RLR+RRR+R+++LLLLLLRL+LLR++RR+LRR+LRR+RRR+++R++++R++++R+RRR+L++R+L+LRLLLL+LL+++L++LL+L++L+LRRL+LRR+RR+RRLR+R++L+L++LLLRR+LL+RLLLL++++LR+LLRL+L++RRLL+LLLRRRRR++RLLR+L+RLRRLR+RLLR+RRLLRRLRRRR+L++L++L+RLLRRL+RRRL+LLL+LR+RRR++LRRLRL++RR+RL
+RRLL+RRRL+RR+R++LRR+LL+LR++R++LLLRRLL+LLRLLRLL+RRRLLRR+LLLRR+LRLRLL++R+LRR+RR++RRRR+R++LLRLRLR++LRRLLRL+L+R+RRL+++RL++L+R+R+R++++R+LL+++++L+LL+LRL+L+RRR++R++LLL++L+R++RRRRLR+LLR+LLRR++RL+RR+R+RRRRLRR+++RLL+LRR+RL++RLLRRLLLR++L+RR+LLL++R+LLLR+RR+RLR+L++L+L+RLLL++L+LR+R+R+L+LRLLL+++L+R+++RRRR+LRR++RRL+LRL+L+LRR+RR+RRRLLR++LRRLL+
+LLRLLRLRRL+R+L+L++L++L+LR+++++R+RLRRRLR+++L+L+LR+RLR+L+LRRLLR++++RR+R++LR+RR+LRLRRLLR++L+R+LRLRLLLRLR++L+++RL++RL++LLRRR+RLLLL+LL+RL++RRLR++L++L+LLRLRR+LRR+L+RL+R+R+RRLL++RLL+RL+L+LLLR+L+LRR++LL++L+LRRR+R+L+L+R+RLRRR+++LL++L+RL+LLRL+LRR++L++LR++R+LL+LLLL++RR+RRRR+L+LLLRRLL+RRR+RLL+RLRLLRLLR+LL+RR+RLLR+RL++++LRRL+LRR+R+RRR+RR+L
++R+R+L+L+RL+LLRLLL+R+R+LLRL+++++L+RLLR+LLRLLRRRLRLLRLR+RL+RRRL+R+L+L+L+R+R+RR++RR+RLLL+R++L+LLLLLRRR+L+RRLRRLL+RRLR++L+++RL++R++R+RLLRR+++R+++++LLLL++LL+RLR++L+L+RRRR+++L+LLR+L+L++RR++++RRR++R++RRL+R+LRRRLR++R++LRL++LLRRRL++L+L++LLL+++RLL+RLR+RLLRRLLL++LRR+RR++R+R++RRR++L++RR+LL+RLR+LRLLRLR++LL+++L+L+++LLR++LRL+RLLLLRR+RLRL+L+
+RLL+L+++RLLRRL+RLLL++LRR++++RLL+RRR++L+RL+++LL+++R++RLLLLLLRRR+R+RLL+LLL+LL+RRRLLR+LLLRRLRLLRLRLLR+RR+R+LRLL+RRL+RL+L+RL+R++L+RR++L+LLRL+++RLLRRLRR+LL+RRR+RRRLL+R+++LRRLRLL+R+RR+LR+RR++++R+LLRLLR+LL++RLR++LRRR+RLLLLR+RRLL+L+R+RLL++LLLL+L+LLL+LRR+RLR+RLLRRLLR+RRRRL+RR+LR++LRRR+RR++RLLL+LL+RLRR++L++R+LRR+++RLLRRR+++LL+RRR+L++L++
R+RR+RLL+R+L+R+R+R+LRL+LRRLLR+RR+++L+++LLL+++RLLRLL++RLL+++L+R+R+RLLR+LLRR+++RRLR+LL++RL+RR+LRR+RLLLLLL++LL+L+RRRL+L+RRLRRLRLRR++LLRR+RR+L++RLLR++LR+RLLR+RRLLRR++LLRLLL+L++LLLRLLLRRRL+RLLR+RLL+RR+RRL++++RRLLLLRLL++RLRRLRRR++LRRLLLLL++LLLL+RLLLLL+R+L++L+++RRLLLLL+LR+LR++++R+LL+R+RRL+++RRL+L++LR+L+++R+RRL++RR+LLLLRR++LR++LRLRR+R+
LL+RRRRL+L+LRLRLLL+L++LRR+LRR+++LLLR++L+RRRLRL++L++R+RR+L+LRRRLLRR+LRR++R+LL+R++RR+RRR+L+LRLLLRLRRL+LRR+RLLLR+RLR+L+RRL+LRLRR++L+L+RRRRLL+R+LLLLRR++LLL+++RRL++++RR+RLLL+RRL+LR+LL+++R+R++L++R++++++LLL+R+LR+++LRLRLL++R++L++L+R+LRLRLRRR+LR+++LL+LLR++R+++RL+L+RRLRRLRLL+RRLL+LL+RLL+L++LLRLL+R++RR+LLR+RL++RLRL+++RLRLLRLLR+R++++L+RR++
+R++RRRLLR+LRLLRR+R+LL+R+L++LL+RLRLR+R+RLLR++LL++R+L+RR+LRL+++R+L+RLRL+LL+LLR+++RLRLRL+L+++LRR+R+L++RL+RR+RRRLRLRR+L+RR+RLRLRRRRLLL+LL+RL+RRR+LLLLRRR+LLLLL++RRL+RR+LLL+LRLRLLRLRLR+RR+R+LL+L+L++LRRLL+L+RL+R++L++RLR+L+RRLRL++RR+RRL+LRL++++RR++L+LR+L++RLLLLR+RL++L+L+RLLRL++RRRRRR+RLL+LRLRLR+LLL++L+RR+LRRL+R+RRLL+R+LRRRRLRL+RR+LRRL
RL+RL+RRRLLRRRRRLRL+++LR++L+RR+LLRLLRRR++L+RLR++L+RL+LLRL++R++RLL++L++RLRR+R++L+L++RLLRRRLRRLLR+++++LLLRRLR++++LR+LL+RRL++L+L+++LRLL++RRRRLLL+++R++LLLL+LL++RLL+R+LRLR+RL+RL+LR+RRR+RL++RLRLL++R+RLRLR+R+R+L++RRLRLR+LL++LRRRLR+L+LR++L+RLLL++RRR+LR+LRR++LRLRRRL++RL+LLL+RLLL++RL++LRRRL+R+LR+R+R++R+LLRR+RR+RRLLL++LLR+L+++RRLRRR+L++LL
RL+L+LR+LRL+L++L++++L+R+L+LLLRLL+R++R+L+RRL++LR++LR+RLR+RR+R++RLL++++++++R+++L+L+LLR+++LR+RR+LL++LR+R+RLRLL+LR++RRRL++RR+L+LL+LRRRRRLR+LLL+LR+RRRL+RRLR+++LLLL+++L+++RRLR+RLLLL+++R++L++RRR+L++RRLRR+R+LRRLLL+++RRRLRLL+++R++RLLLL+RLRLLLLLRR+L+++L+RL++R+LL+RRRL+++++RL++RRL+R++LRLR+RR++LL++RL++RLLLL+++LRR+R+RRLR+++RRLRL+RL++RLL+RR+R
RRL+R+RLRR++LRR++LR+++++L+LR+L+L+LLR+R+RR++L+++RRLL+L+R+LLRRL++LRR++L+LRL+RLRR+L++LLL++LRRRLLL+RR+++L++L++R+++L+++LR+RLLL+R+L+LRRRRR+LLRRR+RLL+++L+L++LLLLR+L+RRLLR+LRL+RRRRLL++++LRLR+LL+R+R+RLLRLRR++++RRRR+RLR+LLL+LR++RR+++RL+LRRRRL+RR+LRRRRLRRL+RLR++L+RLLR+LR+LLLL+R+R++L++RLR+RLLLRL+RRR++RLR+L+RR+RRRLL+R++R++LRR+R+R+RLRLL++++R
L+RRLR++RL+LR+++RR+L+LLR+R+LRL+R+R+L+LL++++L+RRLL++LLLLRLLR+LRLL+RL++RL++RRRRR++L+++LLL+++RRLRRRLLLRLRRLL+R+LLRR+R+LRLLR+L++LR+R+R+RRRLRRRRR+L+R++LRL+L+R+++LR+RR+LRR+L++LLL+RRR+RL+RLLLRR+LRL+RR+RRRL++LLR++RLLRLR+RL++L+LRLRL+R+LLRRL++L+LLLLR+LLR++RL+R+LLLRR+++L+R+RLLRLLLRLLRLRL+LLR+R+RRRLR++R++LRRL+R+RRLL+++RRRR+RR+RL+LLLLLRRLLL
++LL+LRRLRR++RLL++LRLLLRRLL+LL+R+LRLLLR+++L+LR+RRRLR++LLLRRL+++LL+R+LLRRRLR+L++LR+R+++RL+L+LRR+++RR+++RLRR++LR+LLR+LRRRR+RLL++++RL+R++RRLL+LL+R+LLL++RLLR++LR+R++LL++LLLRL+L+RLLR++L+RRLL+RRLR++L+LR+++R+LR+RRLL+RR+R+RR+L+LR+RLR+LRLLL++LLL+LR+LRRL+L++LLRRL++LLLLLR+R+LLLLLL+L+R+RLRRLLRLRLLRRL++LRLLRL+LRLR++RR++LLL+RLLR+L+R+LRRLL++R
++++L+L++++RRR+LLRLLRRRLLLLL+LRR+LL+L+LRRR+L+L+L++LRLRRLLL+RRL++RR++RLLL+RLRRL+RRLR++++LLRRLR+L+LLLR+++RRL+RRLLL+LRLLR+RLR+L++LL+RRLRL+LLL+LRRRLRRRR+++RR++LRRRLLR++RR+L+R++L++++R++LLRLR+R+LLL+LL++R+LLRRLR+RRLLLRRR+L+RLRL+LR+L+RRRLRRRR+LLLLRL+LLLR+L+LRLRRR+R++++RR+R+LLR+R++LRLLL+R+RRLRLL+++RRLLLLLRR+R+++RR+LLRL++RL+LRLL++LRLRRRR
LR++RL+++++RLLLRR+LLRRLLRRLL+L+RL+LRLRR++LRLLL+LRL+RRRLRRR++LRRR+L++RLL+RLLLR+R+LRRLRLRR+RLRRL+R++RRRLL+L+LL+++L+RRRR+++LRL+RLR+RLL+++LLL++RRR+LL+L++R+R+R+++R+RLLRRLLLLL++L++R+++RRRL+RR+R+RL+RRL+RL++LRRR+++RRL+LL+RRRRL+RL+RR++R+LL+L++LLRLL+LLR+RLLR+RLL+R+RRRR+RR+L+RRR++++L+LRR++LRL+LRL+LR+R+RR+LLR++RRLLRL+RRLR+R+R+++RLLRLRLRL++
+RL+LLLLLLR+++RR+LLRRLR+RRRLRRRR+L+L+LLRLLRL+RLR+L+LL+LRRLR+LR+RLRRL+RRRRRLRL++LRRRRR+RRLRRR+LL+LRL+LLR+RRR+L+LLLLRR+L+LL+L+RRLR+R+LLLLRL++RRLLR+R+LRL++LRR+RL++L+RLR+LLRL+LRRLR++LR+LR++LL+LL+LLR+RL+RLL+LL++R++RRRR+R+++++R+++++L++++L+LLLLL+R+LL+RLLL+++RRR+++++++RR+RRLLRLR++RLR+L++R++L++RRLR++RL+L+++LLR+LL+LR++RL++RLLLLRRR+LR+LLR
+RLL+RLRR+L+L+LR++LL++LR+RRRRLR++L++R+++R++L++RLLR+RL+RRLLR+LLRL+L+RRL++R+LLL+++L+RR+RRRLR+RLRR+L+LL++R+LL+LR+++R+RR+L+LLRRRL+LLRL++LRR+RLLLRR++RLLRLRRLRR+RLRL+RLR+RRRLRL+RRRR+LRRLLL++RRLRLRLL+R+R++R+LL++RRRRR+++LR+R+LRR++R++L+LRLLL+L+++RLLRR++LR++++++R+LLRL+R+RL+LLLLLLLLR+L+RRLLLLLRR+RR+R+LL++LR+LR+++RL+LLLLR++LLL++LL++L++++LL
LLLLLLL+R+RLRLR+L+RLLRR+RRLRRLL++LRRRRL+LR+R+R+R++LLLLRRL+RRLL++++LLRRRL+RLLLRRR+LL+++LL+++RLRLLLRLR++L+R+LRRRRRLRLLLLLRLLRRL+R+++RL+L+LRRL++L+L++++RRRLL+RRRRLLRRLLLR+++R+L+LLRLLRLRLRLR+++R+++LRLLR+R++R++LLR+LRLRRRLR+LR++LLLL++LRR+LRRLR++R++LLL+R+RLRLLR++RRRRLLLRR+R+RLRLR+R++RLLRLRLRRRLL+RLRRLR+RLRRLLL+++L+LLLRLLRL+LR+R+R++R++L
L+LR+R++LR+L+R+RLLRRRL+RRLL+++LR++RL+RLL+R++LRLL++++LRRR+LL+L+LL+LL+LRLRLLLLLRLR++LL+++L++R++RRR+LLLLLR+LLL+R++RL+R++++++LL+++L+LLRRR+RRL+LL++RRRR+LL+RLRRLLLRLRRRLLR+++R+LLRL+RLRRLLRR+RRRRRRRLLR+RLLRLRRRRLR+RLR++R+RL+LL+RRLRLLRR++RLLRRLRR++LLLR+RRRLRR+RRRLLRR+RL+R+LRLRLLR+R+RL+R+R+R+RR+LL+RLL+LLLLRLRLLL+L+LRLRRRLLRRRLRLRL+RLRRR
RR+++LR++RL+LLLRL+RR+R+RRRRL+LR++LR+LL+RRRRRR+RRRRL+L+R+RR+R+L+RR++R+LL+R+R+LLLL++RLLRL+LL+LLL+LLLLLR+LRLRLRLLL+L++LLLL++LRLRL+R+R+RRLR+R++LLRRLLR++L++RLRLR+LRRLR+LRR+RR+R++R+LR+RLRLL++LRLLL+L+LRL+LLRRR++RRLL+RRR++R++RR+LLR++L+++L+R+LRR+L++R++RLR+LR++++++RL+L+LL+++L+L+RRRL+LLL+R+LL+RR+L++RRRL++LL+R++LLRRLRRL+RRL+RRRL+L+R+LR+L+R
+LL+LL+RRLLLL+LRRRLLL+LRLRLR++R++++R+++L+++RL+R+L+++LRLL+L+R+L+LR+++RRLLR+L+R++++RLRLRL++RL+L+LR+R+++LR++RRL++++L+L+RRR+++LLLR+R+RRLR+R+L+LRRRLL+LLR+R+LRRLL++LLLLLLRRLL+R+L+RR+RRR+RRRLR+++RLLR++LL+R+LLRR+RRRR+R+LL+L+RLRRR+LRLR+RR+R+LLRRLR++++L+RRR+L+L+RRLLR+LRR++LRL+LR++RRL+L+L+++RR+R+LR+++L+RLL+R+R+L+R+R++RR+++RRRRLLLRLL+RLR+L
++LR+RLRLL+LRL+++R+LR+LR+L+R+L+RRLLR++LRR++R++LRL+++RR++RRLRRL++LRRRL+++LLL++RLLR+RLR++++RRL+L+L+L+RR+L+RLR++RLRRL+LRL++LL++L+LLRL+++++LR+R++R+++++RL+LR++RRR+++LLL+R+RRRLL+LLR++LRLLL+R+R+R++L++LRRLLL+L+L++L+LRL++RL+LLL+RR++++R+LLRR+RLRLRRLLLL+RLL+RRLL+R++LL++LRRRRRRLR++RRRR+LL++RRL++LLL+LL+LRL+LRLRRL++R+RRR+LL++LLRRR+LLR+L+++RR
LLL+LRRLRRR+LLLLR+L++R++RLR+LL+RR+R+LRL++RRLRRR+R+++RLR++RR++R+R+RR+RL+LR++LRRRRR++RRL+LLRRLR++LRRLL++RRRRLRRRLR+R++LRRR++RLL+LRRLLRR+LLLLRL+R+LLLL+++LLLLLRRL+RRRLR+LRRR+R+RL+L+R+++L+L+RR+R+RRL+LLRLR++LRL+RLL++LRRRRL+++LRRLLRRR+LL+LLL+LR+L+LLRR++RR++RLL+RR+RLR+LLL+++R+++L++RLL+R+LR++LRRL+RLLLLR++L+R++L+LLRRLR++L+RLL+RRLLR++LLRL
L++LR++RL+LLL++LR+RR+RLLRR+LRLRR++++RL+++LRLR+LR+RR++LR++++L++++LR++LR+++++L+RL+LRL++++L++R+RR++RLR++RRL+++RLRRLL++LLL+LL+L++++LL+L+L++RR+RRLLRLRR+L+++LRLL+RL+RLLL+RLLL+R++RL+RLR+RR+++R++++L++RRLR+L+LLLLR+LL++LLLRR+LL+R++R++RR++L++LL+++RRL+RR+LRLRR+L+RL+RR+LL+LLR+LRL+RLRL+RRLLL+LRLLLLRRL+L++RRR++LLRRR+RLRLRRR+R+++LRRRR++LR++R++
+RL+LL++LLLRLR+R++L+RR+RLLLRL++R++RL+R+RLR+LRLRL+L+L+++R+RRLL+LLRLR+RLRLRLRRLLLLLRLRLRR+R++RLLLRLLLR+LLRRL+R+RR++RRRL+RL++RRL+LLR++RLRRR+L++L++L++LRL++LRL+RRLLLLL+R+L+RLLLRRLRL+L+RRRRRL+RL+R+R++++L+LR+RLR++RLLL+LR++++++L++LL+LR+RRR+L+LL++RRL++RRL+LRR+RLLLRLRLLLRL++RL++LL+L+L+RL+RL+LRLRR++L+LRRRRR+LR+LR+LRR+RR+++R+RLRLRRLR++++++
RLL+RRLRLRL+R+++LLRR+L+R+LRRRRRLLLRLR+++RL+RRL+LL++++L+RRLR++RLL+++L++RRRR+RRR+RL+RL+RL+RR+L+RLL++LR+RL+RL+++LR+LLLR+L+++RR+++LRRRRRRRR+RLLRLRRRLRLRRRRLL++RL+RL+++++RL+R+R++RLLL+R+R+++++LR+L+L++++++L+++RRRLRL+RLR+RLLRRLRR++R+R++LLRLL+R+LL++L+RRRRL+R+LR++RLLRR+LL+RR+LRRR+RLL+R+LLLLL+RL++RRL++RLRL++RL++LRRLR+++R+LRLLR++++R+RL+R+R
+RRRRRRRL+L+RRL++R+LRL+L+++LR+LLLR+RLL+RRLRLL++LR+R++RRRR+RRL++RL+RR+L+++RLRR+R++LRLL+RLR+R+LR+LRLRL++R+RLLLL+LRLLRLRLR++LRRLLR++RLRLRLLLRR++++RRL+RLR+LLL+R++LRL+LR+RL+LL+LLRLRRL+RRLL++LLL+L++RR+RLR+RRLLL++++R+L+RRL++RLLRR++RLLRLRRLLLLR+RRL+L+RR+LRLLRLR+LRRL+++LL+RRLLRLRLL+++RRRLLL++RRRL++RR+LLLL+L+RLL+R+L+R+LL+RR++LR+RLRLRRR++
L++R+L++RLL++RLL+LRRR+++LL+RLL+LLLRR++RLRRL+RLLRL+RRRLL+L+LRLRL+++R++R+++RR++RL+RLLR++LRRLR+LRR+LR+LR+RRRL+RR+LRRRR+L++R+RRRRR+LR+RL+R+RL+++LRRLR+LRLLR+R++RLRLR++RLRRRRLLLR+LLL+RL+R+R++++++LRLRLRL+RRRL+LR+R+LL+++LRL+L+LL++R+++L+LRLRR+RL++RLLRRRL+LLR+LRRLRR+LRRRLL++LLRR++RRL++LL+RR+R+RL+L+RLR+++R++RRL+++RLLRLRLLR+R+RLRL++LRR+LR+
R+RRRRL+R+++RL+RLRL+R+LLL+RRR++L+++LRR+RLLR++R+LR+LRRRRLLLLRLLRL++LL+R++L+LR+RLLRRRLRLRRLRLL+LRRL+R+RR+RL+L+L+LR+RRR++R+L++R++L++++R+LLRR+LL++LLR+LL++RRR+RR+L++L+L+LLRRRRLLRLRRRRL+RLRR++LLLR+LRR+RLR+RL+LLLLLLRR+RR+LR++LRLL+RRLLL+++RRRRLRLRLL++LRLLL++LR+L+L+++RLRRRLL++RRR+++++L++LRR+LLL+R+++RLRRRLLRRRRRLRRR+LLRRRRR+LL+L+++L+RL+R
+LRRLRL+LL++LR++++L+RLL+++L+RL+LL+RL+RRR+RRR+RR+L++RRRL+RR+RRR+LLL+RRL+RL++L++L++L+LL+RLLR+LR+L+RRRL+RRLL+LL+R+LRR+RRRR+LR+RLR+++L++LRR+RRR+LLL++RRLLRR+RL+RR+++LLRL+R++LL++R+R+LLR+RRRLRLL+LRLL+LLRLLR+++R++LL+R++RR++RRRL+RRLR+RR+LL+LRRL+LRLRLRR+R+RRLL+R+RR+++LRL+RLR+R+++LL+LRRLRRRLR+RLLR+R+RRLLLLLL+LRLR+RRR+RRLLRLRLRRRR+LRLLLRLL
LLRR++L+RRRLRL++R+R+LL+LRRL++LR++++++LLL+L+RRLR+LLLLLLRR++LLRRR+L+R+L+RR+LLLL+R+++++RRR+LRLRL+LR+LR+LRL++RRL+++RLR+RLRLLLLLRR++L+RL+LRRRL+RRLLL+LLRR++LR+LR+L+LRLR+LL++L+LR+RL++LRR+RRL+RR+LRR+RLRLRLLLR+LL+LLLLLRR++RLLR++RRLLR+L+RRLLR++++RRRRRLLLLR++LR+RLL+RLLRR++LR++LLL+RLLRR+L+RR++L++L+R+R+RRRRRL++RR++R+LL+LLLLLLL++RLLRL+LRR+LR
RRLRL+RL+RR++RLLRL+LLRLR+RLLRRLLRRL++++RLRRLRR++++L++LLR+LRRL+R++RL+RRR+RR+L+RRLLRL+++LRRR++LR+LLRRL+++R++L++RRRR+RL++LRRR+LL++L+LRLRL++L+RLLLLR++LL++R++R+RRRR+L++RR+L+LRLRLLLLL++RLRRLRL+LLRR+R+L+RLR+LLR++RLLLLL+RLRRL+R++++LLL+L++RRRRLLR++LRRLL+LR++LLRRL+RLLL+LLRLRL+++LR+LLRRRRL+L+++L++R+R+L+++++RRRLL+L+++++++LLR+L+L++L+++LLLLR
R++R+++L+++R+LLRL+LRRR+++L+LRLL+L+L+L+LR+LR+LL+LRRR+RRL+LLLRLR++R++LR++LRRLRRL+RRRR+++++L+LRRL+R++RRRRRL+R+LL+LRRLRR++RR+LRRRR+LR++LLRR+++++LRRRRRLRRL+LRL+R+LRLR++LLRR++LLR+RL+RRL+++RLR+++LRLRRRRRRRR++++L+RR+R+R+LRRLL++R++RRL+RLRR+RRR+RRR++RLRLRRRR+LLR+++RLRL+LLR+RRRLLRRRR+++++RL++LRRLL+RRR+LLLRLR+LRL+R++LL++RRR+RRL+L+++RRL+LLR
R+LLLL+RL+R+LRL+R+RLRLLLRRL+L+LL+L+R+L++++LLRRRRLR+R+++++LRLRLLRRRL+RL+LLRR+LLLL+RR++R++R+LRRRLL+R+L++R++LLR+LRLRRL+R+++RRL+RR+LRRLRRRRRR+RLLRRR++LRRR++LRR++LL+RRLRLR+LR+LLRRR+RLL+++RR+LR++L+RLRLRLLR+RRLLR+RLLLRRR+L+R+L++R++RRRLR+RR++LLRR+L+LLR+L+R+LL+++L+R+LRR+RL+RR+LRR+L+LL+LR+LLLL+RLRRL+L+L+L+R+++RLRRLR+++LL+LL+LLRL++LRLL+LR
++LLRRL+RLL+RLL+L++RRLR++RRRLLR+RLL+L+L+RRLL+RR+L+RLRLRRLLLR+RR+RLRLLLRR+LRL+R+RLR+LRRRL+RRRLLL++R+RLRR+RL+RL++RRL++L+R+LLRRLLL+RRR++RL+RRR+LLLL+RR++R++LR++R+++LLLR+++LL+++R+R+LRR+LLR++RRL+R++L+RR+RR+L+LR+R+R+++LL+L+R++RLR+RRRRRL+LR+LLR++LRLRLRL+L+R+++LRLLLRL+RL++RLLL+LLRL+LLLR+RRLRRRLLLLRRL+LR+R++LLRR++R+R++RR+L++R++LR+RRL+LL+
+RR+L+LRLL++RLL++L++R+RL++LLR+R+LR+L+RL+RLRRRL+RL+RLRRRLRLLRLR+RRLRRRRRRLLLLLL++RR++R+LL+LLRRLR+R+RRL+LLR+RLLRL+L+R++RRR+RRRRRRL+LLRRRLLLRR+RRRRR+R+L+L+R+++RL+++L++LLRLRRLR++RRLLRRR+RRRRLLL+RLLLL+L++LR+LR+RLL++LLRRLR+L+++RRRRRRL+RR+RL++R+LLR++RLRRLRRRLL+LR+R+LRLRL+L++RL+RLRLRLL++++R+++RLLRRL+R+L+L+LRL+RRL+L+R+LRL+RRR+RL+L+RLLL+
LL++R++RL+L++LRLRLRLLLLLLLRLR+RL++RRRLL++R+RL+LRLLL+RLRL++L++RL+RRRLRRRL++R+LRRLRRL++RR+L+++LR++R++RLRL+LR+RLRLLL+L+RL+LR+RL+++LL++R++LLR+LRRLL+R+LRLR+RLL+RLRR+RRLLRRL+L++RLLLR+L++++RL+LL+LR+LLR+LRL+++RLRRLRR+LRRLRL+LLRLL+R+R+LLLLL+RLLR++L+RL++R+L+LR++L+L++RR+LR++LR++LLRRL+R++LR+L+RRRRL+LLRL+LLR+++RR+++L++++RRL+++LRRLLRLRLRR+RR
