227 280
LRRR+RRL+++LL+LLRR++R++++RRLRRRRR+LLLL++++LRLRLL++LRLR+RL+++LL++++L+RR+L+R+R++LL+L+RLR+L++L++++R+RRRLRRL++LL++LL+LLRR++L+L+LR++L++RLR+L+++R++RR+RLLRLR+++LLL+RRL+L+RLLLLLLRLLLRLLRRRRR+RLLLRLRRL+L+RR+LRRL+++L++LRRL+R+RLLLRR++RLLLL++R++RRR+LLR++L+LR+L++R+L+++RRRRLLL+R++RL++RLRRLRLL+
LL+RRLRRLLLRR+LLRL+LLLRL+LLR+RRLR+L+L+RL++RLLLLRL++R+LRRLR+RLL+LLRR+RRR+LRRLRRL+RRLL+R+RLLR++RL+L+++L+RR+L+R++RRRRR++RRRLRL+LLL++L+LL++L++LRL+RL++LLL+RLRL++++RRR+++LLL++LRL+RRRR+LL+RLR++R+LLLLRRRRLL+LLLLRLLLLLRL+RR+RRR+LRRRRRRLRLLL+RL+R++R++LRRLRLRL+RL+L+R+RR+LRRRR+RR+L+++++LRLL+
LL+LRRL+RLLRLLR+RR++R+RLR+RRLRLLL++LLRR+LRRRL++LLL+++RR+R++LRRRR+RLL++LRL+R+LRRL+RLLRR+L++RRL+L++R++LL++RLR+LRLLLRL++RLL+RRRRR+RLRLR+LL++RRRLRL+RL++LL+R+LR++LRLRRLLRRLLLRLLLLLLLRRLLRR+LLR++R+L+++RL++RRL+++++LR++++L+RLR+LLRRLR++LLRRR+LR++RRLLR++++LRRL+R+L+LLL++L+RRLRL+LRL+L+RR+L++
++RLRL+RRLLR+RL+RR+LL+R+RR+RRL++L+LRL+L+++LL+RLR++++R+LRRRLLR+R+RLLLRR++RR+RRLLR+LLRRR+LLRLL+LR+++RL+LRR+L+LRRR+LLLR+L+L+RL+R+++LLR+LLRRL++R+RR+R+R+R+L+LRRRRLLLRLLLRRRLRRRL++LLLRL+R++RRR+LR++R++LLRLRL+LRL+L+RL+++++LLRRR++L+RLLR++LL+LRR+LL+R+L++L+LLL+LLR+++L+++RLRRLR++LL+R+LRRR+R+
+L++L++R+LL+RLRLR+RRRRLRRLLRL+L+R+RLLL+R+RR+RLRL+++RRR+L+LRRL+++++RR+R+L+++LLL+RR+L+RLL+RL++L+R+R++LLL++R+RLRRLR+RR+RLLRLRRLRL+R+R+++R+RLLL+R+LR++++RLL+R+LRLLL++R+L+LR+R+++R++RR+L+LR+++LRRL++R+++RRLL+LL+LRLL+R+RR+R+R++RR+R++RR+RLRL+RR+R+RRR+++RLR+L+RRLRRLLRRRR+LLRL++R+RL+++L++RR+
RRRRRLLRRL+LLLLL+RRRR+LR++++R++++L+RLR+LL++RLRL+L+RLLLRRLRLL+RL+++RLL+LRRRLL+L+++LL+++RRR+LL+RRLLRLRL+++L+R+++R+R++RR+++L+++RL+LRRLR+RRR+LLLRLL+++++RL+R++L+RLLLRLLLL+LRL+L+R+RRRLRRR+L++RL+LRL+++RR+RR+RL+L+L+LRL+RL++LL++RL+RRR+RLLRRR+LLRRRR+RRR+RRRRL+RLL+LLRL+LR+LRLLLRL+LL+LRRL++R
+RLR+LLLRLL+R++RLL++RLRL+L+RLL+LR+R+R+RL++LR++LRR+LLLR+R+RRLRRRLRL+R+L+LLRLRLRR+R+RL+LL+R+L+RRLLRR+L+RRLLRLL+RRRR+LRLLLRLRLL+RRR+L+R+RL++RRL+LLL+R+LLL+RRR+L+R+R++R+L+R++RRRL+L+LRRRLLR++LLL+R+++LRL+R+++L+RRLLRRLR+L+RRRRRR+L+RRR++R+R+LR+RL+RLRRR+RR+RRL++++LRLR+L+LL++LLR+L+RRLR+LLR+
LRLLL+LRLRRR++L++LRR+++LRL+RRL+LR+RRLLRLRL+L+R+R+RRRRRLRRRL+L++LR++LRLRRRLLRR+L++L+LRR++LLL+L++RR+LRLLLRLL+LL+++R++++R+++RL+LLRRLRRLL++LRL+RRLLRRR+L+LR+L+R+L+L+R++RLLLLR+R+RRR+LRR+RRLR++RLLLLLLL+RRLRRL+RL++LL++LLRRLL++LLLRRR+L+RRRLR+L+++RL++R+R+L++++LLLR+L++RLRRLLR+LLRLR+RLRL+RR+
L++LLLRL+LL++LLLLRR++L++R++++RRRLRL++++LLR++R+LLRRLR+LL+LR+++L+++LRRR+++++RRRR+RLRRRR+L+LLL+RL++L+R+L++LRRRLRR+R+RRR+RRRL+R+L+LL+LRRRLRR+LRR++LLLLLLLLL+L++L+RRLRLLR+L+LL++LLLR+L+LLLLRLRRRR++L+RLLR+++RLL+LL+LRLL++RR+LRRL++R++++RRLRRR+RL+RLLRRLL+RLR+L++R+LL+LRLRR+RLL+++LR+RRLRRLR+L
++R++RR+LLRR+L+++LRRRL+LLRRRR+RR+LRRLRRLLLRLL+LLRLRR+LRLRL+RL+R+RL+L+RLLRRLLLR+LRRL+L+LL+RRR+RLR+LR+RRRLRLRL++LLLR+RR+RR++LL++++LL+RL+LL+LLRL+R+RLRRL++R+LRRRLLL+RL+LL+R+L+L+LRR++RLRL+++L++LL+R+RRR+++++R++LRR+LLRRLRRRRRRRLL++++LR++LLLLLRRRLLLL++LRR+LRL+L++RR+RLRLRR+RLL+RRRRR++R++L
RLR+R+LLL++L++++RL++L+RRL+RRL+L+RL++LL++++LLLLRRLR+RRR++LR++RL+RRLR++L+L++RLRLLL+L++++LR++LRL++++++R++RR+RRRR+R+R+LRRRL+RLRLL+++LLLL+RLL+LLLRRLLRLLLRL+RR+L+R++R+RLL+RL+L+RR+++++LR+L+RLLLR+R+LRL+LL+R++R+LRLL+++RLLRLR+R+++++R+RLR+LLLRRLLL+LRR+R+RRR++RLLL+RRLRLRRRRL+R+L++RRLR+RL++LR
++LL+L+RR+LR+L++RRLL++RR+L+R+LLR+LLL+R+RLL+R++LLRRLLR+++LRRRR+LR+LRRLRLLRRRRRRRRLLLLRR+++LL+R++RL++L+LRR++R+L+RL++++LR+RR++RRLRLLR+L+R++R+LRLLLRRLL+RRRLLRLL++++L+RRR+L+LL+R+L++LRLRR+R+L+++RR+LLR+LL+LLL++++LLR+R+RLLRRRRRLL+R++RR++RLL++R++RLR+++L+LL+++LL+RRRL+LLRLL+L+L++RLL+LLR+++R
LRL++LR+++RRRR++LRRR++++++R+LRRR++LRRRLRLLLLLRRRRLL+LRRL+RRL+R+LRL+L++LLL++LL+LR+RR+LL+R+L+RRRRRLLLL++RRRRL++++LL+++LL++LLLRLLR+RR+R+L++LLLLLLR+LLL++LRLLRLRLRR+LLLR+RLR++R+++RLLL+LRLRRR+R+LLLRLLLLR+RRLRR+LRLRLLLRLR++RLR+L++R+RRLRL+R+++L+RR+R+R+LLLRLL++LLLL+RRR+LR+LR+L+++R+RLLLL+L
+R++L+LR+L+LLRR+L+RLL+LL+LRRR++LRLR++LLLR+++RRL+++++RRRL+LR++RL+L+LLL++LLLR+RL+++LR+R+RRR+R+RL+L+RL+RRLLL++R+R+LR++LLLRL+LL++++LRR+R++RRLL+++R+LLLRLLLL+R+LRL+RLLLLL+R+LLR+R+R+RLLLRR+LRR+R+++R+LRLR++LRRR++RLLR++RRL++++LL++R+RLL+R+L+LLLRLR+R+++R++L+L+RLLLLRLRR+RR+RLL++RRLRRRRLRR++R
LL+RRR+L++++++R+RRRRR+RL+LRLRRL+RRLL+LLRLRR++RLRLRLRRRLR+LLRLR+RR+L+L+RL+L+LLRRR+RRL+RRRLR+LR+RL+RR+++RRR+RRLL+LRR+LRL+L+LRRRRRRLL+L++L+++RL+++++RLRLRLL+RR+LR+RL+R+++RL+LRLLRLRR++R+++R++LR+LLRRRLLL+L++R+R+LRLLRLRR+RLL+RRRL+RR+L+R+RRLRLR+R++LRL+R++++LLR+LR+L++LL+RLRR+++RRRRRRRLRLL
LLLR++R+RRRR++LL++RRRLLLLLRRR+LRRRR++RL+LLL++L++LLLL+R+RRL+R+++RRLRLLRL++RRLL+LR+LRLR+RRRR++++RLRLRR+LRL+LL+L+RRRR+R+LRLRLLLLLLRR+R+R+L+RRLR+R+RRLR++LR+RLL++LRLL++++++++RL++L++R+LRRR+LRL+RR++LLLRLRR+RRL+++LR+LR+R+++LLRLRL+RRRRRR+RRR++L+RLRLLLRRL+R+RLLRL+RLRRRR++LR+RLR+L+RR+++++RR
+LRRLRRLL++LLR+L+LRR+RL++RLR++LLL+L+++L++LL++LLLR+LRLLRLRRRLRL+LLR+RRLRLL+LR++RLR++LLLL++R+L++R++RRR+RR+++RRRL+R+L+RLLRLLLR+R+++RRLLRR+++L++LRLRL+RR+LRL+++LLLR+LRLRR+++R+L+L++L+RRRR+LRRL+RRLR+R+R++RR+R+L+LR++R+L+R+RL++RR++R++LLLL++RRRR++++R+LL+LR+RR++++RR+LLRLRLLRLR+R+L+RLRLLLLLL
RRRRL++R+LR++RRLR+LL+RRRRRLLRLLLL+++LL+RLLRLL+L+RL++LLL+RLLL++++R+++LL+RLRRL+LLLRRL++RL++RLRR++RL+++R+++RLRL+RRLRRLL+R+R+LR+L++R+LL+R+R++RRRLRR+LR++RLRLRR+RL+R++R+R++++LLL+++RLLL++RR+R+L+++L+R++LLLRLLR++RRLLL+LR++LLLR+L+LRRRLLRL+R++R+LLR++L++RR+RRLRL+L+LR+LL+LLRLLRR+LLL+RL++LLL+R
L+LLRLRL+R+RLLLLLLL+RR+LR++RRLRR++LRRRRL++L++R+L+RLRLRR++RRR+RL++R+++RLLRLL+RLLRRR+++RRRL+++RLRL+RL+LRR+RLR+LRLRRR+++L++RLLLL+R+R+++RR+++LLL++L++RLLL+LLLLLLLRRLR+RLLRLL+LL+LRL++++RLRL++RLLLLRLLRLLL++LL+LL++RR+L+LL+LRLRR+L+L+L+LL+RR+LRL+++L++RRLL+LRLR+RRRRLRRLL+++LRLLLRLRLRRLR+RRL
L+R+LRRLLLR+R+RRRLR++LRRRRLR+R+RRLLLRR+L+RR+LRL+R+RRRLRRLR+L++RLLLRR++RLRLLRRRLL+LLRLRLRRLLRRLL+R+R++++RLRRLRRR+LLL+L++RR+RRRRRLLLLRR++RL+L+RRL++RRR+LRR+L+L+R+LRL++LR++RRR+RR+RRRLR+L++RR+L+RR+R+RLLL+RRRLRL+RLLRLLRLR+LLL+L+R+RRRRLR++++RRLL++R+R+RRRL++++LLRL++RRL+LRLR+RL++++LR+LL++
RLRRRRLRLRLLR++LR+RRR+LRL+LRRRLRRRR+R++R+R+L++R+L+L++LL+RRR+RRL+RRLRLLRRLRRLRRR+R+LLLLL++L+LL++LR+R+LR+R+LLL+L+RLR++L+RLR+RRLRLL+RR+LRR+LLL+RRR++LRLLRR+RRL+R++++RRL+L+LR+RR++LLL+LRR+RL+RLRLRRLRRL+LLLRL+LLRLLRLR+RL+RL+LRRLR++RLLLLLL++L+RRLR++RRRR+RL+++LLR+RLLLLL+L+LR+R+L+LR+++LLL+
+R++L+R+++RLLRL++RLLRL+LLLRLRLRL+RRRLL+LRR+LLLR++++RRR++LR+RRR+LLRLLRRLR+RLL+L+R+++RLLR+++++++LRRL+R+RLR+RRRRLLLLLLL++LR+L++L+L+LRRLL+L++L+R+R+RLRR+++R+++LR+++RR++R+R+++LR+RR+L+RR+LR+L+LLR++LL+LL+L++++R+L+LRLRRLRR+LRRLRL+RR+LLRL+LLRRR+++RRL++R++RL++RR+RRLLR+R+++LR++LRL+LLR+R++L++
RL+RR+R+++LR+++++LR++L++LLR+LL++LR+L++LLL+++RL+LL+L+RLRR+R+LLRRLLLR+L++RLR+++RR+LLL+L+RR+L+LLR++LL+RLL+++LRL+R+RRL+L++L+LL+LRLRRL+LRRLL+RLRRRLRR+R+L+L+LLR+++LL++RRRLL+LRR++++R++++LRR+L+L++RRLRL+++RR++++RLR+RR+L++++LRLR+RR+R+R+RRLLLR+L+R+LLL+LLRRLRLLRRRLLRR+RRRRL+RLLL+LLRL+++RLRLL
++LRLL++LLRR+LRLLR+RLRR++++RL++LL++R++R++LRRRLLL+L++++++LLRRLR+R+RL++RR+RRL+LRLRR++R+RLRLR+LR+RR+R+LR+RRRLRLLL+LLL+++RLLRRLRL+RR+RL+LLLLRRRRRRLRRRLLLL++++R+RLRLRR++R+++LL++LRLLR+LL+LR+R+LR+L++L+RR+LL+LRLL+++LLRRLRR+L++L++R+R+L+++L+R+RRL++L+RR++R+++R+LRRRLLRLR+LR+LRLRRLLLRRLLRLRR+
++L+++LL++LLRLR+LL+RLLLL+LL+LLLL++L+RLLRRLLRR++RL+LRRRR+RRLLR+LRLL+++LRR+R++L++RLLLL++RRL+R+L+RLLLL+RRRRRRLRLLL+RRLL++LLRRRRRLLRRRLRLL+L+RR+RLRRR++LRRLLLRR++L+RL+L++RRLLL+L+RR++LLRLL+R++L+R+++++R+L+R+L++RLLRR+LL+L+R+R+R+++LRRR++RLLRR+LRLRRLRL+L+R+RL++RRLLLR+R++RLRLR+RLR+LLLLRRR+L
+LRRR+R+L+LLLL+R+LL+R+LL+RL+L+++L+LR+L++++RRR++LRLLRL++RLL+R+R+LRR+L+L+++RLR+L+LLL+LLLR+LRRL+RRLLL+RRR+RLRLLRLL+RL+R+LRRRLRRRRLRR+R+R+R++R++L+LR+LRR++LRRR++LR+L+RLL+L++RRRRL+RLL+RR+RL+LLRR+RLR+L+RLR+RRLLLL++LRLR+++R++L+RLL+LRLRRL+RRLR++R+RL++LRL+LRLL+RRRRL+RLR++R+++LLR+R+LRL+++RL
R+++L+LL++L+LRRR+LL++L++LLL+++++LL+RR+++++LLRRRLRLL+RL+LRL+RR+LRRL+LLL+RRRRRL+++R+L+RL+++LRL++RR++RLRLRRR++RRL++LRLL++L+R+RR++LL++RRRL+RRR+LR+L+LL+LLRL+RLRLRRRLLLL+RLL+R+LR+R+RLLLRRR++LLL+R++LL+LLL+RL++R+++++RR++R+++L+R+LLL+++L+LLLRRRRRLRLR+R+L+RRR+L++++L+LLLRRRR++RLLLR+R+LLR+LR+
LR+L++R++RLRRLLL+LLLLR+LL+R++R++RRL+++LL+RLRRR+++R+L++RRLRLLLL+R+RRRR+RLR+RRRLLLRLRR++R++++RRLLLL+RL++++LL+++L+RRRRL+RLLR+++RLRRRLLRRR+L+RLRR+RLLRLR+RLLLL+R+LLL+R+LLRRLR+LLRR+++RL++R+L++RLL+++LR++L+LLR+LLRRRLLRR+RRLR++LRL+R++R+L+R+L+L+R+R+LR+RL+LLLLR+RLL+LLRRLRLRLL++RR++RLR+RR++R
RL++LLRR++RLRR+L+RLLRRLR++R++LLL+RL+RRLLLLRLR+R+LL+RRL+R+RRRRR+R+L+R+LLLRRL+RR+RR+RR+R+R+LR+RLRLLLLRR+++LLRLRRR+RLRLR++R+++LLR+R+R+RL++RRLLRRLR+R+LLR+R+LL+L++L+RLLRRR+LRLR+++LRRLRR+++RRRLRRRLRLR++L++L+LR+LL++R+L+++RR+LRLLLRRRRR+++RLL++++LRR+L+L+LRRR+LRRLRL+++R+L+RR+LRLRLLRLL+RL+L
+LRLLR+RR+LRR+LR+L++LRLRRLL++R+LRR++R+++L+RR+LL+++L+RRRRRRL++RRRRL+L+L++RL+RLRLLL++RLLLLRLLL++RL+L+LLLRR+L++LRR+LLLRRR++RRLLLR+RR+R+LR+LL++RL+LRL+R+LLLRL+LRR++L+RLLRLL+RRLR++RLR+R+LLLR+L+LLLRR++++R+R++LLRR+RL+R+++LRL+LRL+L+L++R+L++RRRL+LLL+++L+R+L+RLR+R+LL++R+LLRRRRRRL++R++RLRLLL
L++LLRLRL+LL+L+LLL++R+RLL++LR+L++LL+RLLLLLRLLLRLLLLL+RR++LLRR+RL+RLRRL+R+++LLR+R+RLR+LLLRL+LL++LL+RLLLL++L+LLRL+R+R+R+LRR+LRR+RRL++R+++RR+L++R+LRRLR+RLL++L++RLRLLLLR+L+LLRL+RRL++LRRL+L++R+L+LR+LLL+R+R+RLLL+RRLL+L++RRLLRLLR+RLLR+LRLR++R++R++RLL+RL+LL++++R++L+RRRRRLLRLL+R+LL+RRR+RR
RL+RRR+R+L+L+++LLLRRRR+LRR+R+L+R++R+RRLRRRLL+LL++RRRLRLL++RLLRRRL+LRRL+RL+R+LR++RRLLR+RL+R+R+++RRL+RL+R+R+L+L++R++RRLR+RLR++RLLL+R+RL+R+RLLRL+++LRR++LRLRRRL+RLRR+LRR+RR+RRR+LL+RL+LL++L+LL+R+L+L+RRLLLLRRRLLR+RRL+RLRRR++RRLRRLL+LR+LRLR+RL+R+L+L+RL++LLRRRRL+RR++RLL+RLLR++LRR+LR+++RR
L++R++RRRR+R++LLLLRRR+LRLR+RLR++R+LRL+L+L+L+LRLRL+RR++++++RRLLRRLLRLRR+L++R+L++LL++R++RL+L+R+LL+LL+R+++R++++++LR+L+++LRRRLLLRL+LR++L++LRRR++LRLR+LL++L+LRR+R++RLRRL++R++LRR+LLR+R+RLLLRLR+++++LLRRRLRRRR+RRL+LLRR+R+R++L++RLR+RRLL+LL+LLLL+RLLRLRRLR+LRLLLL+RRL+RL+LRLL+LRR+++++++++++++
RRL+R+R++L++R++++RR+LRLLLRRRL+LLR+L+LR+R++LLRRRRLRLLL+R+++LRRLLL++RRLR+++LR+LR++LLLLL++RRR++LRRLLLL++RL+L++R++++RR+LRRLR+R+L++RRL++++RLLR+R+RRLR++LR+RLR+LRLLR+RL+L+RLRR+R+RL+LL+LL++RL+LR+L++R+L+LLLRL+RR+LLR++LLR+LL+RRLRLRRR+R++LRLR+++R++L+L+LL+L+RRRLLRLLRRR+R+RL++RRL++++RLL+L+R++
LLRL++L+RR+++RRR+LLRLR+L++L+RR+R+LLRRRRL+R+L+RRR++RLLR+++LL+LRRRL+RRRL++LRLLLLLL+LL++L++RR++RL+RLL+R++LLL++RR+LRL+R+LL+RLRRRRL+RL++RRLR+L+L++RRL+++R++RLLRR+LRL++R+LLR+RRRR+++++R++RR+LR+LR+R++LRR+RLLRLL+L+RR++LLRLLRLLRLR+LL+R+L+LLRLRRL+++RL+++++LR++R++RRLR++LRRL++RLLRL+R+RLRL+LLLR
+RL+LLLRRLL+LLRR+LRR+L+L+R+++++++RLRLRL+R+RRLLR+LRLL+L++++R+R+RL++++LLRL+++LLRLRRLLRR+RLLLL+RLRRRRRRRLRRL+++++R+LRRL+RLLL+L++R++LR+L+LR+L+L+++L++R+RRLLRRLRLR++LL++LL+RRRRRLL+L++RL+LLRRLLR+R+RL+LRLLLL+RRL+++++RRR+++R+RRLR+LRRL+RR++RLLLL++RL+RRLLLL+LL++LL+R+LRLL+R++LRLLLR+++RL+L+L+
+LRRLL+R+RRLLRLR++RL++LRLL++LL+RLLLRLRRLRR++LRR++RRR++R+RLLR+LRL++++RRLRR+LR+RL+LR+++RR+LL+R+RRLR+L+RLR+R+R++LRRL+++LR++++RLRRRRL+++R+++RRR+R+L+++R+LRRRL+L+RL++R+L+R+LLLRRLRL+RL+RLR+RLR++L+L+RLLL++LR+RRLLRLL++R+LRRL++L+LR+L+RL+RLRR+LRL+++L+LLRRRR+R+L+LRRRLR+R+++LRL++LRLRL+RRRLLRL
+RL+L++RL++++R++L+LLLLLL++++RRLR+RLR+RL+RLL+++LL+RRRR+RRL+LR+L++R+L+R+++++RLL++R+LRRR+++RR+R+LLR+RRRRL+RL+L++LLRL+RRLLR++L++R+LLLRR+LLRR++RLL+LL+L++R+L+++RR+LL+++RRRRLR+RRR+R+RLRR+++RRRLLRLR++RLRRL+RRL+R+LRLLR++++LLR+LRR+L+RRLRRRR+LLRRRRLLR+L+LR+++RR+R+LL+RR+RLLLRL+++LL+RLLRLL+RR
RRLL+LRL+RRLLL+R+LRLR+R+R+RL+RR+RLRL+RL+RRL+RRLLLR+LR+RL+LLLRL+RL+L+R+RL+LRLRL+RRL+LLLLR+LLRR+RL+++LLLLRRRRL+LRLL++L+R+RRLLRLRLR+LRRLLRRRR+L+++LRLRLL+++R+L+R+RR++RL+R+RL+RR++RRR+R+LLL++LLRLRLL+R+LL+RLRR+R+LLRL+LRRLLL++LRRRR+LRLRR+++R+RR++RR+++R+L+LLLRRR+L+RRLRRL+LL+L++LL++LRRR+RL
++RLLRRLL+++L+L++++LR+RRLRR+RLL+++LLLR+RLRL+RLRRL+LRLL+LR+RL++RLL+LL+L+RRLR+L+LRLRLL+LR+++++++RRLRL+RL++RRR+LRR+LLL++LL+R++LRL++LRL+L+RLL+RR+LL+++R+LRLRR+++R+LLLL+R++RLR+RLRLLL+LLL+L+L+RRRL+RLL+L+LLRR+LLLLR+LRRLRRL+L+++RRL+LRR++L+LR+LR+R+RRR++LLR+++RLL+R+RRRLL+LLLL+LRR+R+LLRLLR+L
+L+LLLL+LLLLLLRLRLL++LR+LRLRLL+LR+RLR+R++++RLLLLL+RR+LR++LRRL++L+RLRLRR+L+LL+L++RLR+L+RLR+++L+++LRR+LLL+LRR++L+++++R+RRL+RRRR+L+LRRRRRR+RLRLLRRLRLLR++RLLLRRLLLLRRRLLLRRRR+LRRL+LLL+LL++LLLRRRLR+L+L+LL+RR+LRRR+LLL+L+RLR++RLR++RRRRRLRRRRLRRRL+RLL+RL+L+LLRRRL+LRLLRLRR+++RL+LR+RR+LLLL
R+++RLL+R++R++RL+R+++LRRL+++LLR+LRLLR+++RLL+RRLL++LRR+LRL+L++RLR++LRRLLL+RLL+LLLL++LRRLR+RRL+RRLLLR++L+L+++LLRL+LRR+R++RL+RRL+RRL+LL+RR+R+RL+RLRL+RL+L+LRRLRLR+RRRR++LR+R++R+++R+LLL+R++R++LRL+++L++LLRLLLL+L+LLLR+LRLL+R+L+R+R++R+L+L++RLL+RLRRL+R+LLLR+RRRRL+++RRRRLR+LRL++RR+L+RLLLRL
R++LRR+LL+R+RRLL+++R+RRRRRR+R++RRRRR++LRRL+R+RLRL+RRRR+RL+++RLRLRLLL+R+LL+RLLLLLRLR++LR+RLR+RLLR++RLLR+LR++LLL+++RLRR++RR+L++RLR+LRRR+R+LR+L+RR+RRLL+L+RRRR++RRLLL+R+++++LL+LRRRL+LR+RLRL+LR+++LRL++L++RRRRLRR+LL+++R+RR+++R+RRRLLRL+RL+LLL++L+R+++L++R+RLLL++R+RRLLRLL+LLLL+LR+LLRLLRLL
LRL+++RLRL++L+LL+LLRL+L+RLL+R++LL+LRRRRR+LLRRLRLR+LLLL+LL+R+RLLRLR+RLR++LR+++LLLL++LRLLRRL+RRRRR+LLRLLRLRRRR++R+RRRRL++++RRL+RLRRRLLRLLRRLR++L+R+RR+R+RL+RRLRLLLR++++RLLL+++R+LL++RLLLLL+L++++LL+L+RL+R+R+LRR++RRR+R+LR+++RR+RLRRL+++RLRLRLLL++L+LRLRRRL++LL++R+RRRRRLR+RRRLRR+LLR++R+LR
LLR+LRLRLR++R++LRLLLRR+R+++RL+L++R++R++LLL+RR++R+RRLR+RRLR+++LRRLLR++R+++RRRLLRRL++R+RL++R+L++LLR+++LRLR+R+L+L+L++R++LLLLLRL+LLLRLRR+RLR++LL+LL++LRL++LLRRRLL+RL+++LL++L+LLL+L+R++R+RLRL+RLRR+RLRLR++LRL+LRLL++R+LRLLLR++L+RRRLLRL+++LRLRRRLLR++RLLR++LLLRLLLRLLRRLRL+R+++L++LRRLR+LLRRR
R+L+RLL+L+LLL+LR++R++LLRLL+R++LRLL++RRR+++RL+++RLL+LLR+R+LRRRLLLLLLR+LL+RLLRRRR+RRRL++RR+LRLLR++++RRLLRRLLLR++LLRL++RLRL+++RLR+LLL+LLR++L+RR+++RL+++RL+L+R++LLLRL+RRLRRL+RLLRRRR++++RR++R+RR+R+L++RL+R+RLRL+LR++R++RL+RRLL+++++LR+LR+LLL+++LRR+RRRLRR+++LLRLLRLR+RLR+LLRLRRLLLRLLR+RRL++
L+RL+LLRLRL+R+LLRRLRRRLL+RR++LLL++RL++L+R++RR+RRLRLL+LR+RRRL+RLRRLRRR++R++RRR+++++RR+RL+++R+R+LRL+LR+L+L+L+++LRRRL++LR+RL++L+++++R+RRL++RLLL+L+LL++LLRL++L++LR+RR+L++L+R+R++LLRL+RL+R++RLLL+L+L+L+LR+RRLLL+L++L++LRRRR+RL+++R++LL+LRR++L++LRRLL+R++R++RLR+RRRRRL+++L+LRR+RRR++LLRRL+LL+L
R+LRRRL++R+++LRRRRL+L++RRL++R+RLR+R+LRR++++LRL++R+R++LRLLRRL++RL+++RLR++++RLLLL+RRRR+R+L+RRLLLRLR+L+L+L+R+RRL+LR++++RLLLR+LRR+RL+RL+LL++RL+L+R+LL+RL+RRRRRRLRRRLR+R+L+R++R++RRRRLLR++R+LRRRR+R+++LRL+RRRR+LLR+R+RRRL+R+LL+L+LL++LRLLLRRRRRRLLLR+++R++L+RLR++LLL+L+LRRRLRRRRLLL+++L+R+L++
LL+RLLRLRLRRRLRLR+RL+L+LRRLL++++L+L++R+LR++RRRLL++LLRL+R+RR++L+LLLR+RRR++LLL+L+RLRL+R++L+R+LLR++RRL++R+RLL+RR++++R+RR+R+LLL+R+LL+RLR+LRRLLRRLLLRRRRR+LRRRLRLL+L+R++LL+R++L+L+RRLRRR+LRLLRLLLL++LLLLL+LRL+RRRRLLL++LLL+RLRRLL+R+LLRLRLR+R+R++LLRLR+RL+L+++LRRLL+RLRLLL+R++RLLL+LL+RR+++LR
LLRR+++L+++LLLRLLR+LRRRLR++LRL+L+RR+LLL+R++LRRRR++LR+RRLL+RRRLRLRLRR++++R+LR+L+RLLLRL++++RRL+RLR+R++++RLRRLRRLR+RR+LRL+R++RRRLR++L+L++RRL+RL++LL+L+RLLLLLLRLR++LLLLLLRLRRLLLRLLL++LR+L++R+L+RL++LLRLRR+LR+++R++LLLRR+LLRR++RLRLL+RLRR++RRL+R+LR++++LLRL+L+RRR+RLLRL++++RLLLRR+R++R+RR+LR
+++RL++LLLRLL+RL+LLR++RLR+LR+LRLR+RLRR+RR++LRR+R++RRRR+LL+LLLR+LL+++RLRRLR+RR+R++++R++RL+R+RRL+R+R+RR+LLLL+RRLRLR+LRLLRR+RLRRL+++RRLRL++LRL++++++RLLL++RLL+RRLR++L+LLR+LR++RLL+L+L+L+++RLLRRLRL+RRL++L++LLL+L+LL++RLR+LL+LLRR+++++++R+R++RL+R+R++RRLRL+RR+R+RL+RLL+LRLL+LRLL+++LR+++R+RL
++RRRRLRRRR+L+LR+LLR+LLRRL+++L+L++LR+RRR+R+++L+++RLLRRRR+++L+RLR+R++RRRR++RL+LLL+L+RLR+R++LRRLRRLRRRR+L++LLLLLRLR++RLLLRRL++RR++RRLLL++R+RRLLLR+RR+++R+RL++RRL++R++RRLRR+LL+LRRR+RRLR+LRRLRLLLRR+LLRLRL+LL+LRL++RRRLRR++LL++RR+RRLR++LLRL+R+LRLLLLR+L++RLLLLL+R+RRRR+RL++LLRLL+RRL+RLL++
+LLR++LRR++RLR+L++LL+RRRL+++R+++RRRR+RR+++LLRR+RLL+L+LL+LLRLLL+++++RR+++LRLLL+LRL+RRL++RL+L+RL++RLL+L+LL++LL+LRRL++L++LLL++LRRRL+RLLL++++R+LRLL+RLL+LLLRRLRR+++L+R+RLLLL+++L+RRLRLRLL+LRR+RLR++R+RRR++LRLL+LRRLL+L+LR+LL+L+RLRLLLL+LR+L+R+RLRLRR++R+L+RRR+L+LL++++RRRRLL+RRLLRRRLLR+LRR+
R++RLLLRRR+RRRLLLLRLL++RLLLR++++L+RL+LR+RRR+LLRLL+++RLR+LL++R+R+L++LRRLLLRR+RLL+RRLR+RLR+RL+++L+RRR+LLLRRR+++R++RRLR+R+R+RLRL+L+LL+RLL+++++R+LRLRR+LLR+R+LLRL+RL+LRLLL++RL+RR+LRRL+RL+RLRLLL++L+R+L+RLR+LRRL+++R+RLL+LL+LRL+LL+R+R+++RLR+++LRR+LL+RR++R++LL+LRLRL++R++LL+R+RLL+R++LL+RR+
RR+R+RR+LL+++LRLRRR+RL+L+RRL+R+LL+L+++R+++L+RRL+L++LLRR+++++RLR+++LRLLRR++RRR++++RRLRRRRLL+RRRLRLL++RLR+R+RL+RR+RLRL+L+R+LL+++RLLL+L++LRLR+R+RLLL++R++LRR+LL+RLL+R++L+R+R+L+L+LRRLL++++LL+RLRLLLR++RR+L+L+++LR++R+++++R+RL+L++RLLR+RR+LRLLRRRR++L+L+LL+RRRL++R+RLR+LLR++RL+R++R+LLRR++R+
L+RRLLLL++R+LRLRLR+RR+RLL+++LR+++RRLRR++LL+LL+LR+RLRL+L+LL+L+++L+RR+R+L+RLL+L+L++RRRR+LR+L++++L++LL+RLLRRLRRLRLRRR+L+L+RLLR+R+RR++LL+LLLR+RRRL+RLLL+RRLR+L+++RR+LL+LL+LRRLL+L+R++R++RRL+RLLR+LLRR+LL++R+L+LLRR+LLL+LRLLL+R+RR+RLRLR+RLLRRL+++RLL+R+RL+RL+RL+R+L++++LL+RRRRRRLLRL+LLRLR+R
+LLRRRLLR+LLRR++LRRLLLL+LLLL++R+L++L++RL+++RLL++R+R++LRL+LL+RLRL+LRLR+RL+RLL++R+++RLLR+L+LL+++L+RL+++RL+L+R+++LL++R+RL+RL++RRLR+RRRR+R+LL+L+RRLR+LRLR+R+L+R+R+++LL+RR++R++LRL+LLRRRLR+RRR+LR++LLLRL+L++LR++L++RRLL++RRL+LRLRLLLRL+LR+RRLLLRR+L+L++RRRL+L+RRRRLR++L++R+RR+RR++LLR+R+RLL+L
+L+RLRRLLRLL+L+RRRLLLLLLR+RRLR+LLRL+R+LLRLR+RLL+++R++RLRL++LL++RRRLLRR+RL++L+LR++LLLR+++R+L+LR+R+LRLLLR+R+RLLLLRLLRL+RRRLLL+++RRLRLL++L+R++LRLLLLLR+LRLLR+R+LL++L+L+RLRLR+LLRR++++LLL+R+RLLRLR++LRRL++RRLRR+++R++R+RL++++R+R+LRLRLR++R+RL++RRRL++LLRLLR+R+RLL+R++R+RRRL++++L+RR+LRLLL+LR
++R+L+++LRR+LRLRLR+++LLL+RR++++RRRRRRL+L+L+++RR+LRLRRRR+LLL+++RRRL+LRRRLR+RLL+L++RRRLR++R+R+RLL+LLLRRRRL+LLLRLRRRRLL+RLLR+L++RRR+L+RR++R+R+LLLRR+++L+RRL+R++L+RR++L+LRLLR+RR+LLRLR+L+LR+LLR+LRLLLL+LRLR+RR+++RRRRL++R+L+R+++RRL++RRR+RRL+R+++L+RLR+LLR+LLRRLLRLLL+RRRRR++L++L+RL+L++LRL+
++L+RL+LLLR+R+RRLRRR++L+++LLLLLL++++R+RL+L++++L+L+++L+++R+L++LR+RLRR+RR++LR+RL++LL+RL++LLL+++RLRLRLLLRRR++LL+RLRLRLR+RRL++R+RL+LR+++LR+LLLLLRL++RL++R++RR+LLR++R++RRRLR+RLRRRL+RL+L+RR+++RLL+L+RRL+LLLRR+L+RLLLL+RL++RL+LRLLRRRL+L+LLRLR+L+LL+R++L++RLRL++++++L+++RLRL+LR+LRLLL++LL+L+RL
RR+LR++R+L++LLR++L++L+R+++RL+LRLL++RRLLRL+LRRL++++RRR+LL+R++RRRRLLR++++LLRLR+LRL++LRRLL++R+LLRLRL+LLRL+LLLR+L+LRLR+R+LL+R++RR++RL+LLRR+++LLLLRR+LL+RL+LR++LLLLL+RLLL++L+RRRRLRLLRR+L++L++LLRRRLR+RL+R++++LL++++LLRLLRL++RLRR+RLRLRRLLLRLR+R+RLRRRRRL++RLRRL+RR+LRRRRRLRRRRLLLRLLLL+LRRRR
RR+L++LLRRLLLR++RL+RRR+RLR+RLRLRL+RLL+R++LRRLL+LR+RLLLLRRLLRRLRLL+LL+RL+L+RR+L+RRR+RLLRLRRL+++LL+LLR++LR+++++R+LRL+LRRRR+L+RR+R+L+L+R+LLLR+RLLLR+R+++RR+LLLRL+RLLR++LL++LRR+RL++RLR+R+R++L+L++R+L+RRLLRLLLRL+RRRLL+L+++LLL+++L++R+RLL+RRL+L+R++RR+LLLL+L+RL+++RRRL++L+RRRRRR+LLLLRRLRLRR
+++RRR+LLLR+RRLRLR+RLLL+RRL++R+LLLRRR+++LRR++L++RLL+++RRL+LLLLRLL+LLRRRRRR+R+RR+LL+R+++++RRLLRRR++RLLLRL++++LLRLRLRRR+RLR+R++LL++LLRRR+RL+R+RRLRR+RLLL++LLL+L+LLRL+++++LRR+++RLRL+++LR+LR+R+LRL+++RLLRR+LRL+RLRLR++RLL+L+LRR++L+LRLRR+R++LRR+R+RLLRLL+RLR+LR++R+RR+LL+LR+RL++R++L+LL+RRR
RLL+LRL+L++RLL+RR+++LLR+RLLLRRRRRLLR++RLRLLRRR+RRL+RRRRR+RR+RLLLLLRRLLL+L+R+R+L+LLRR+LLL+L+RLRLLL+R+R+R+R+RL++LLL+LL+L+R++LLLR+++RR++LRRRR++R+RLLLR+RRLR+LR+RLL+RLR+LRL+++LLRLLLL++RRLLRRRL+RL++RLL++RLLRL+RLRL+++R+++LLLR+LL+R+RL++RRLL++R+++RRRRRL++++++LRL++LLRRLRL+L+LRL+RRRRLLL++R+
L+R+RR+RRRLRRLRRR+RR+LRRLLRL+RRRLLR++RLR+LL+L+RLLR++R+LLRL++R+++RLRLL+L+LL++L++++RL+RLR++LRRRRL+L+++R++RR+L+R++L+R++LRLLLR+RR+++R+LR++++LLLR+LL+R+R+++RRRL+LLRL+++RRLRLR+R+RLLLLL+++L+RL+LR+RLRR++R+L++LLRLL+++L++RLLLRR+L+++LLR+R+++LRL+RRL+LLL+RLLRR+LR+L+RLLL+LRLLR+++R+LL+R++RR+++RR
LLL+LLLL++L+R+LR+++R++LRL++LRL+R+RLL+L+R+L+R+L+++L+L+LLLRLLLLRRLR+LLR+R+RRRLL++LR+LLRRRRRLLR+RLR+RRR++RLLRLLR++LRRRLRLLLLLLLLRLR+++LL+LRL+++LRLRRR++LRRR+LRLL++L+RRR+R+RLLR+LLRRRR++LLRRRRL+++RLLRR+++R+LLRL+L+LLRRL+RLRLRRL+RRLLLLRL+RL+++LRLL+L+LRLR+++++R+R++RR+RLRRLRRRRL+RRLR+LLRRR
LLRL+RR+LRLL++R++RR+LRRRRL++LR+R++LRL++R+L+L+LRLLLRLL+LLLR+L++++RRLRLLL+L+++LL+L++LLRRLLL+++R+L+LRLLR+R+RLRRR+RLL+R++L++LRRR++LLLR+RLRRR+LLL++++R+LRL+RLRL+R+RLLR+RLLLR++++++RRL+R+RRRR+LLRRRLR+LR+LR+++RLL+++LLRR++LR+L+RRLRLR++R+R+L+RL+R++L++L+RRR++RRL++++L+L+L+LRRLLL++LRLRRLLR++LL
RR+RRR++LRL+LR+LRLRLLRLLLRLLLL++L++LR+R+L++RR+RRR+RRLRR+RL+RRL+R+R+RR+LRRR+LRR++RRLRRLLLL+RRRLLRL++LLLLL++LLRRRRL+LL+LLLLRLR+L++L+R+R+RR++RLL++RLRRR+R++RLRLRLLLLLR+L+LLLLRRLLLLRLL+L+R+R+LL+L+L+LLLR+++RRRLL++RR+R+LLRRR+L++RR++LLR+R+RRR++L+LRRR+LRR++R+++L+RLRLRRR+LRRRLLRLLRLR+RRLLR
+R+R+LLL+LLL+L+RRLRL+R+RLRL++++R++RLRLLRRR+RLRR++R+R+LL+++L+RLL+LL+LL++LL+LRLLRRL+RL++LL+LLLR+LR+++RLRRLR++RL+LLRRLR+R+R+LR+RL++++L+R+LRR+R+++RRL+LR+LRL+RLRRL++R+RLL+LL+RLRL+L++++RLRLRLR+R+LL++R+++RLL++L+LR++L+L++L++LLRR+R++LR++L++L+RR++LLR+L+RL+LLLL+R+R+RLRRLLRL+RLLRRR++++LRR+RR
RR+++LRRRLLLLRL++L+LRRLLLL+RRLR++++R++RLRR++RR+LRLRLLR++RRLR+++R+RRL+LRRLR+LRR+LR+RL++++L+R+L++RLRRRLR++R++RLLRLLRRRR+RRLLR+RRR+RRL++L+RRLLRRL+RRRR+L+L+L+RRR+LL++RRLRR+L+LLL+R+LRL++LRR+++RR+L+LRLLRLLLL+LRL+R+RL++LRR+LRRRRLL+RRLL+L+LRRL+R+RRRL++R++RLLLRR+LR++++LLL++++RR+LRLLRRLRR+
RRRR+LR+LLR+RLRRL++LR+LL+R++RL++L+RL+R++++R+LR+L++LR+L++R+R+L+RLLLRRRL+R++R++RR++++LL+R++LLLLRLLL+LRRR++L+L+L+RLLLLRL+RL+RLLRLLLLLL+L++R+R+++LRLRR+LLLRR++L+L+RRR+RLR+++R+L+RRLLRRLLRLLL+L+L+RRLLL+RLL+R+R+RRRLR+L+L++RRRL+R+R+LR+RLRRLLLRRL+LLL+LLL+R+LRL+LR+RRLL++R+LL+L+RLLR+RLL++++R
LLRLRR+RLL+LL+R+R++RRRLRRLRLR++RRRRRRL+LRL+RLR+RLL+++RRLRL+LR+RLLRR+RL+L+LRRRL+LL+R+RLLRRRRR+RLR+++R+RLRRR+LLLL+LL++LR++R+LRR+RLLLRL+LLL+LL+R+++LL++R+++RRR+RLRLL+R+LRR++RLL+L+L++R++RRR++LLLLRR++LL+LLLR++++R+++RRL+L++R+LR+LLRL++LR+LL+R+LRLLLRL++LR+R+RLL+LL+R+R+LLR+LRLR++RR+RL+LRRR
L+L++++RL+LR++RRR+R+L+LL+L+RR+L+L+R+LL+LRLLL+++R+R+RLLR+LR+RR+R+RR++LLRLRRLLRRLL+RL+LLLLRRLR++RLLRLLLLRRR++LLL+R++LL+LLRR+RRLRLLRR+RL+L+LL+LRLL+L+RLLL+LRRL+++LLLRR++R++L+RLLL+++LLLL+++LL++LR+L+RRL++LRRLLRRL++++R++LR+LRLL+L+LLLLRL+LLRR+LRLRR++LLL+L+L+RL++R+LRRLRL+L+RRRR+LRL++LR+LL
LRR+RLR+RR+LRLRRRR+LLR++L+RLR+RR+L++RRL+RR+RLR+LRL+R+LRRRRL+LRRRLR++RLL+LLL+LL++R+LRRRR++R++LR+RRL++RR+RLL+L+L++RR++LRRRL++L+LLRLL+++R+RL++++R+L+L+LR++R+RR+R+RLRLR+RLLLLL+++LRRLRLR++RRLRRRLR+L++++RLL+R+RLRLLLRLLLRRLR+RRLLRLL++L+RRRL+RLR+LL+LL+RL+LL+RRLL+LRRL+RRL+LR+R+++RRLLLRL++R
+R+RLL+LL+RRL+L+RLLR+++LRL+R+++RLR++R+LLR+RRLR+LRLLRL+R++RL+LRL++RLLRRRLL+R+RLR+++L+LLLLR+++++LR++++LRR+++LRLRRLL+LRRLLL+R+RLRR+R++LR+LLLRR+RR+RL++++L+RL+RRRRL++++R+LRRR+RRRLR++LL+RL+RLL+L+LRL+LRR+L+R++L+RL+L+RRRLLR+LLLLL+LR+++++++R++RRR+L+RRLRLRRLLL++LLRLL+LR++LRR+++LR+RLR+RLR+L
RLLR+LL+R+LLLLLRRRRRLLLLL+LRL+RRLRL++RRR+RLLRLL+R+LR+LLRLL+LLL+L+R++++++LLR+LRLLRLRR+L+LL+L++RLRLL+LLRRR+RL++R+LR+LL+L++RL+LLL++LRLLL++RL++LLRL+R+LRL+LLLLRLR++R+RRL++++++++RLRR+RLL+RLL+LLLLL++RR+RLLLR+L+LLLR+++RRL+LRRLRRRLRR+R+LLLLLR+++RL+R+LL++LL+RLL++LRLLRR+LL+LLR+R+L+++R+L+++L
LLLR+RLR++L++++R+L+LR++L++RRR++RL+RLL++RLR+LLRLLRLLR+LR+RR++L+RL+RRRRR+RRRL+LLL+LR++L++LLLRRLLRRRRLRR+LRLLLLR+LLLLRRLLLRLRRR+RLR+RR++R+R+RLLLR++L++L+RRR+LLLLR+R++LLR+RRL++L+R+LRRR+RLLLR++L+RR+RLR++LRRRRRLLLRLRRL+R++R++RRR+L++++R++RL++RLLRLL+RLRL+L+LLL++RRLRR++LR+LL++LRR+R++RL+++R
+++L+LL+++LRR+L+L++++LRLLLR+L+R++LLL++++RRR+RRLR++R++RLLLLL+R++L+RLLRL+L+RR+LLRL+++LLL+++LL++LLLL+RLLLL+RRR+L+RLRRRL+++R+L+LRLL+++++LRRRL+++R+L+RRLR++LLL++RLL+++LR+RLLLRL+LLRRL+LR+R+L+++LL++RR+R+R+RLLLR+LLR+++RL+RLRLRL+RLL+LRLLRRL+RLLLL+L+LRL+++L+R+LLLLRL+RR+LR+RR+LLL+L++L+R+RLRR
+LR+RR+RL++L++++RLRR+RL+L++++LRLRLL+RR+LR++R+++LL+LLRL+RRRR+RRLL++RLRRL+LR+RLLRRL+LLRLL+L+LRR+LLRRL+LRL+RL+R++R++RR+LRRLRRLLRR++RL+RR+LR+R+LL+R++RLR+RLL+RRRRLR+R+++R++++LL++RLRRLL+L+RRRRLLRR+RL+LR++R++LRL+++++R+RRLL+RL++RRLRL+++LLLLR++RLR++++LRLRLRLR+R+RR+R+RL++LL+L++R++LRRLRRRRR
LLRR+RL+LR++LR+R+LLLLL+LLRL+LRL+LL++L++LLLRRLLL+RR+RLLR+LRR+L++RLR+RLLRLLRLRR+RLL+LL+L+RRRL+L+LLRL++L+L+RL+R+RRLLR++RR+RL+RRL++L++++L+RLLLRRL+LRLRL+RR++L+R+RR++RRLLLRLR++LRLRLRRL+RLRRL+RLRR+R+L+++++LRR++L+L+LLL+RLL+RL+L+RRRLR+RRLRLR+LRLRL++RL+RLLRRRRRR+R++RLRLL+LRR++RR+++L++++LRL
+RR++++++R++RRRR+L+LLRR+RRL+LLLRRLR++LLL++LR+L+LRRRLR+R+++++LLLRR++LL++RLRR++LLLL++RR+++LR+RLLLLRR+++R+R+R+R++RLLRLL+RRLRLRRRLRLLRR+LL+LL+L+LLL+R+RRLR+R+LLL+RRLR+LL++RRLL+RL+LL+RLRL+RLRR+++LR++RRLL++RLR++++R++R+LRL+RLR++RLL+LL++LRLR+++R+RL+LRL++RRRRRR++R+R+LL++L+RL+L+R+LLR+RRLL+R
LLRRL+RLRR+LR++++RL++++R+LLL++R++L+R+LR+RLL+LLLRRR++LRL+R+RLR+RL++RL+RR++LR+RRLLLLL++LLRRRL++RLLR+LL+L+R+++LLR++R+RLLLL+++RLRLR+++L++RL+LRRRRLL+++R+RRR++RRL+L+RRL+L+R+LRLLL+LRLR+LR+LR++LLRLR+LRL+LLLL+RLRR+++LRL+LRLLRRR+++RLLLRLRRRL+LLR++++RRRLRRR+R+RLR+RLL++++++R+RR+L++R+L+RRL+R+
+R++LLLLLLLR++RRR+LLLLLLRRLR+RR+LLR+LLR+RR+RRRRRLLLRRL+L+R+RLRRRRRL++R+LLLR+RLRR+RR+LRL+LR+++RL++LLR+++LLLRR++LRRR+L++LL+LLRL+LLLLRR+RLRR+R++++L++L+R+LL+RLR+LLRL+LL++L+LLLLL+RR+RL+LR++RL++++L+LRLRLRLR+++RRL+R+R+R+LRL+RRLRR+R++LRLR+RRLLL+RRLLLRLLRLL++RLR+LLRLRRL++RLR++L+L+L+RLRLRR
+LLRLRRRRR+++R+++L++R+LR+RR++LLLR+LRR+RRLRR+RRLR++L+R+++L+RR++R+RLRL+LLRRLLLR+L+RRL+L+RR+++RLRRLL++L+R+R+L+RLR+RR+LRRR+++RR+LLL++R+RR+RRRRL+L+L+RRRRL+L++RLRLL++L+LRLR+LR+++R+++LRLLLRLLLLR++RRR+L+LLR+L+LR++LR++RRL+LRLLRR+L+RLRRR+R+RL+LLRL+L+R+LR+L++++LR++LL+++LRLRRR+LR+RLL++RLRR+L
LRL++RL+L++++++R++R+LR+++R+RRR+RLL+LLL++R+LR+RLR+RLRL+LRLR+LRRL++R+RRLL+LR+R+RL+LL++L+RRR++LRLLRL+LR+LLLL+RLR+LR+RR+LLRLR+L++LLL+LRLRLLL++R+L+LLLRL++++LLL++L+LL+R+RL+LLL++LR+LLR++L+LL++RL+++RR+RR+LR+RLLLRLR+RRR+RRRRR+L+LRLLLR+LR+LRRLLRRR+R+++LLRLLLLRRLRRR+LRL++LRL+R+RL+++LLR+L+++
L+RLR+LRL+LL+RR+LL+RR+R+LRLLLLRRR+L+RLLRR+RRR+++LLRRL+RR+++LRRRR++LR++LLR+LLLLL+L+LR+L+RLRRRLR+LLRLRR+LR++RRLLLRLLRRRLRRL++RRR+LLLLLLLR+L+++++L+L+++LRLRRRR+RR+LR+RLR+LLR++LRR++R++++RLLLR++RL+LRRL+R+++RLL+L+LR+R+RRRR+R+LRRLLLLR+RLR++LLLLRL+LRLR+L+++R+RRRRLRLRL++RLRLL+++R++++LL+RLR
+LLRRRLLRR++LLLRLRLL+L+RL+RLRLL+L+++R+RLRRLL+L+RLRLLLRLL+L+RLRL+RLLRRRLR+RRR+LLL+++L+R++RLL+L+RL+L+LR+LRR+RLRRLL+R+LLLLRR+L+++L++++L+LLRLL+L+R+L+LL+LR+LR+LRRRRLLL+L++L+LLL+++LR+LRLR+L+R+++RRLR+RLRLL+++RRR+RRL+++++LL++++LRRRLL+LL+LR+L+LL+++RLRL+RRR+RLL+R+RLRR+RR+L+L+RRR+++RR+RLLRL
L++LR++++++RLLLLR+R+LRRL+L+LR+R+L+LLRRRLRR++RL++RLRLR+R+RLR++RLRLL+R+LRL+L++++L++LLRR+++RRR+RRLRL+L+R+RRRRR+RRLLL+R+L++RLLR++LLLR+LL+LRL+++++++L+RRRRR++RLR+RLRLLR+L++++RRL+R+RRLL+++RR++R+LLRRLRRLRRRL+++++L++LL++RL++RRR+RRRLRRL++L+LLLR+L++++RL+R+RLR+R+LLLRRR+RLRRRR+RL+RL++L++RRRLL
+RLLRRRLRLRLR+++RR+LLR+RRLRRR+RRLR+RRLL+L+L+LR+RLL+L+LLL++R+R++LL++LL+L+RRR+LR+RLLLR+RL+RRRRRRL+RR+L+RR+++RRR+LLLLR+RRRLRLL++++++L+R+RRRRLR++++LL+RL++RLRL+LR++RLR+L+L+R+R+++LL+++LL+L++RRRLLLRLRLRLLRL+L+++L+RR+LLL+RRRLL+++R+L+L+R++++R+L+RRRRRR++LL+RR++RRRRRLLRL+LRRLRLR+RR+RL+RRRRR
+RL+++R+RL+LL+LLR+L+RLR+LL+RLL+++++RRR++RLL+L++R+LLLRLL+++++RR+RLRLRLLRL+R+L+LRLRLRR+R++R+RLL+RRLLLRL+LRLRRRR+RLR+LL++LR+L+LRRL+RLLRLLLR++L+++L+RLLLRL++LR+LLLL+L+R+RR++R+RR++LL+LRLRRLR+R+LLL+RL+L+LR++LL+RRRR+++LLLR++LL+R+++RL+LRLLLL+L++L+L++L+LR+R+LLRLRLRLR++R+R+L+R+LR+LLLLRRL++L
R+R+RLR++RL++LLRLL++RLLL+LRL+RLRRLLRR+++LLLR+R+RLR+LRRR++LLLL+L+++L+RL+LL+RRRRLLRR++LL+L+L+LL+L++LL+LLR+L++R+++R+R+RR+RLL++R+RLLR+LRRLLLL+LLL+R+R+RRLLRRRL+LR++LR+RL+L+L++R+RR+R+++L++LRLLR+L++RRRR+++LLLLRL++L++RR+RR++RR++RR+RRL+LRRLRLL+LLR+RL+RLRL+R+RLRL+L+RLLRRLR++LR+RLRR++L+RLL+
+RRR+L+R+RR+RR+LL+++R+R+RR+RR+RL++++LRRRRLL+RLLL++LLLLR+LLLR+R+RL++LRRL+++L+R+LL++RRLLLLLRRLLRLL++LL+R+LLL+R+RRR+L+R+++++L+LL+L++RRLR++RLL++RRRRRR+RLRR+RRR+RRLR+RL+L+RRL++R+LR+LL+LL++R+LLRL+RRR++LRLRRL+LRL++LLR+++L++L+LL+R+++LLLRLL+LLLLLLL+L+R+RLR++++RLLRL+RR+RRLRLRRR+LLRL+R+++RL
+R++LL+RRLRLLRRRLLLR+RRR+RLR+RRRRRLL+R++RR+R+R+++R+LL+RLL+RL+RLR+R+LRLLL+LRLL+LR+LRR+RL+RR+R+RRRLLLRR+LLLL+RRLLL+RR+LRR+RR+L+LRRL++RRRL++R++L++R+LRRR+L+RRRL+L+R+++RLLR+RRR+LLRR+RR+RR+++LLLL++RR++LRL+LLLLLR++LLL+RL+++RLL+RR+R+L++RLR+RRLLRLRRLR+RRLRRLLLLLLRR++RLL+L+R+L+LRL+++LRLR+R
LRL+RRR+LRRLR++R+LLLRLR++RR++R+RLLRRLLRR+R++L+R+RRRR+RRL+L++++L+R++++++RRR+RL+LRRRL++++RLR+RRLRLLLR+LLL+RLR+R+R++LLLLR++L+L+R+LL+L+LRR+++L+LRLRL+R+L+L++++LL++LL+L+LRL+R++RLR+++++RL+R+R+R+RL+++R+L+LL++RRR++R+L+R+RLR+RRRLL++LLRRRL+RLLRL+RL+RR+RRLRRRLRRL+L+LLL+RLR++R+L+LRLRL+RLLRRRL
RRRRRR+L+RR+LLL++RLLR+LL++LLLLL++++++++LLRLRR+LL+LL+++R++RLLLL+RRR+LLRRRL+LR+L++L+R+++LLL+RR++RRR+LR+L+RLLL+L++RLRR+L+LRRLLLL+++LL+++LRLLLRRRRL+LLRLLRR+LLL+RRRLL+L++R+RLLR+R+LRLRR+RRL+++R+R+R+RR+RLRR+RL+RLLL+R+R+L++L+++RLR+R+LL++RRL++RRR+++LRR+R+LLL++LLL++++R+RLL+L++++RRRRRRRRLR+
++RR+R+LLLLRLRL+++RLLRR+RR++RLLRRL+RLLR+R+RR+LL++LRRLLRR+++LRL+LL+LRLLRLL+R+LRR++RLRLLRLRRL++LLLLRL++L+++R+RRR++++RLR+LRLLRRRRLR+LR+L+R+R+L+RLLLLR+RLLRR+R+LRLR+++R++RL+LLRL+RRRRRR+LR++++R++R++LLLLL+R+R+RL+RR+LRLL++LLLLL++RLRLLLLLR+L++LLRR+LRL++LLLRL+L+LR+L+R+LR+RRL+RLRLRRLL+LLLR+
LRLL+LLRLR++++RLR+LLRLLLLRLR+LRL+RL+++LRR+RL+L+L+LRL+L+L+L+LR+RLLRRRRRRRL+++LRLLLL++++L+LL+RR+LR++RLLLRL+LRLR+R+++++R+RL+++LL+LLRL++LL+RR+RRLRRR++R++L+LRLR+LLR+++L+LLR+++LRLL+++LLRR+L++L+RRRR++RL+LL+++RL+++R+RR+++RR+LL++LL+RRLRRR+LR+R++L+++RL+RLR+LR+++LLL+L+++RL+RR+LL+R++LRR+L+R+
+++RL+R+RLRRL+R+R++R+RLR+LLR+LL++LLLR+RRLRRLLLL+LL+R++++RLLLLR++RR+RRRRLLRLLLRLLR++RR+L+RL+++LL+++RL+LLR+LRL++R+RRRLLL++LLR+RRRL+RLRL+RR+++LR+RLL+RLRRRR++R+++RRRRRRLLLLRRLLL+++RRRRLR+L++++LRRR++LRL+R++LR+R+R+R+LL++LRLRL++LRRR+RRLLRRRRRL++RLRLLLR++LL+LLLL+RR++R++L+LL+++R+RRRL+LRR+
RRR+R+LLL+LRRLLLR++LR+RLR++R+LLLLRL++R+LLLRRL+++R+R+RL+RRLRRR++LL++R+RL++RLLRLRRRLR++L+R++++LLLLRRLLLRRLRLRLL++R+RRRR++++RL+LRLLRRLL+++LRR++RRR+R++RLRLLLL+R+R+LLRLRRRLL++L+RRRL+++L+RL+LRL+LLR+R+LR++RRR+L+LR+L+LLL+L+R+++LL++++RR+LL+LLRLRL+R+RLL+LLLRRR+LLRLL++L+L+LLLL+LRRRL++LL++++
R+++RL+RL+R++R+L++L++RLLLRLRL+L+LL+L+L+LRLL++L+R+R+L+LR+RLLRLR++RRRRLRLRLLRRLR+++RRLLR+LR+RRRR+R+LR++LR+LR+R+RRL+RLR+R+LLLLR+LLRLLLL+L+++LRRRRL+LL+R+LRRR+RLL+R+L++LRR+L+R+LRR++LL+R+LLL++++R+L+R+LR++R++L+L+RLLLLLLRR+R++LRLRR+L++LLLLLL++RRLRLLLRR+++LLRR+LRLLRRRLLLRLL++++R+++RRL+R++
+LRR+RLRR+LLRLRLLLR+LRRL++R+++L+LRLR+LLRL+L++R+++R+++++LLLL++RLLRL+LR+R+LRLL+L++R+R+R+R+LL+RL++++RLLR+R+RRL++L+L+LLRL++L+RRR+++LL++RRRLL+L++LLL+RLLR++L+RLRL+LR+LLR+LRRLL+RLRL+++RRL+RLL++RRR+RR+LR++L+R++RRLR+L+++LL+R++LRRL+L+LL+R+++RL++RR++RLLLRL++LLRLL+LRRRRR+++++++LR+LL+RRRLRLLL
R+RRLR+LL+RRL+LRRL+LL++LRLRRRR+RRLLRLRLRL++LR+++RL+LL++RLRRRR+LR+R+LLL++RRRR+++LLLL++L+LL+RLRR+RRLL+RL++RRLL+L++++RRRL+RLRR+LL+R++L+R+RR++++LLR+R+LRL+RLL+LRRRRRRLLR+L++RRRLLRRRR++++RRRRLLR+LLRRRLL++RR+RLLRLL+RRRL+RRL+LLLRLLLRL+L+LR+RL+LLLRL+RRLL+R++LR++R++R+RLL+L+L+R+LRRRL++RRL++
+LR+RLRLRRLLLR++LR+RRL+RR+R+RLL++LLRR+LRRRL++LR+RR+RRRL+LLR+R+LRR+RL+RL+RRR++LL+RL++R+RRLRRLLLLR+RRL++RR++LRL+R+R+RR+RRLLLLRL+R+RRRLL+RL+L+RRRLRLR+RLLLLLR+LRR+RR+R+LLL+L+RRLRL+LL++RRRL+LLRLRRRLLR+RRRR+RR+LLL+R+++R+RL+L+R+R+RL++RRR+RL++LLRLLLLR++RRR+R+++RLRL+LRR+L++R+RLR++LR+RR++R
++L++L++RRLRLRL+++L+LL++LRR+LL++LRRLRRL+R++LL+++LRRLRLRRLR+LLLLRLLR+R+RL+++RR+RRR+R+LL+++R+LRLRLRR+LR+R+R+++LR+R+RRLLRLR+LRLLL++L+R+++R+++RL+R+RRR+++LLL+LRR+R++RL++RL+R+L+R+LR+LLLRRR+R+LRL+RRRRL+RLR+R++LRRL+LL+L+RR++RRLLLRLR+++L+LLR+LRRLLRRRL+RL+RRR+RRRRR++RLL++++R++R+RRLL+RR+++L
RR+++RLLLRL++RRRLR++RL+LLLL+RLRLLLR+++++LLR+RRLRLLRRR+LL+RRRR+RR+RR+L+++RLRRL++L++LLLR+R++R+RL+LLLRL+++LLLRL+L++LLLLRL+LLLRRL+RRLL+LRR+R+R+++RRR+L+LLR+++L+RLLRLRLLR+++RL++LLRLR+L+LR++RRLL++LRRLLR+LRR++LLLRRRLLLLL+RLLL+LRRL++L+L+RLLR+LRR+++RLL+RLL++LLR++LLL+L++RLLLLLRLRRLL+RRLL+LR
+LRRLLR+++RLRLL++RLRRR+L++RR++RL++RRLRRLR+LLR+++LLRL++++LLLRRRL+LLLR+LL+LR++RL+L+RLRR+R+R+LRL++++LR+RRLLL+LLLLLLR+LL+RRLLRR+RLR+RLL+L+LRRLLRRR+R++L+LL++RR+L++LLRL+L+LLLLRLL+R+LL+RRRL+++++R+L++LR++LLLRLLRR+L+++RL+RRL+++R+LLLRL+RR+++L+LRLL++RRLL++RLL+L++L++RLLL+RLLLRLL+RR+LLR++LL+L
LR+RRLR+LLRRL+LLLLLL+++RR+L+LLRLRLLRLLRRL+RRLRRRLLL+L+LLR+L++RLR+LL++RRLRR+++LR+RRL+R+R+RR+RLLRRR++++LL+RRRLL+LRRLRLRRLL++LR+++LL+LR+L++RRLRLLRR+R++RLLL+RLLLRLRRRRRLR+L+LLLRRRR+L++RR+RRRRLL+LRRR+L+RR+L++LRRRR+LRL++RL+RLRL+R+RR++L+RRRR+R+LR+LLL+RRRLL+LRRLR++++L+RLL+++LLR+R++R++RRL
LLR+RRLR+L+RLRLLR+RRR+++R++LLRL++R+++RR+RL+R+RLRLR+L+RRLR+LL+L++LLRRR++LR+R+LR+++LRLLRR+RRL+R++++LR+RR+RRLL+++L+LRLRLRLRR+RRRLRR+RRRL+LR+L+R+LRRRLR++L++++RLLL+++L+++RL++L++RL+L+RL+++RLL+LRRLL+LLL+RRLLRL+RLLRLL++LR+L+LL+++R+LRRRR+++RRRLRL+L++RRRRRR++LL+RLRLRRLL++RLLR+LLL++RRRRLRRR
+L++L+RLL+RRLLR+LL+LL+LR+L+LR+LLRLRRR+++RLL++LL+RLR+RRR+R+L+RRLLRR+RLR+LLLRL+LRL+LLLL+R+R++R++L+L+LLRLRL++RRL+LLR+L+LR+RRRL+R++RR+R+LLR+RRL++R+RLRLLL+L+RR+RL+LRR+LLR++L++R+++L++RR++R+R+R+L+LRLRLLLR+R++LLL++LLR++++LRL+RLLRLLL++L+LRLL++R+RR+L+LRR+R+R+++LLL+LL+LRL++++RLRRR+RLLLRRRL+
RRLRL+RRR++RRR+L+++++L+L+L+RRRRRLRLRL++LR+L+RRR+RR++RRL+RLLLL+RLRLR+RLLRL+LRL+R++L+L+++RRRRLLRL+RRRRLL+LRRRLL++RRL+LLL+L++RRLLL+RRRR+R++++RLLRRR++LLLR++RLLLRLL+R+R+L+LRRL++RRRRLL+R++RRLLLLR+RRR+RLRL+RLL+LRR+L+RLR+++LRL+RRLRL+L+RLL+LRRLLR+R++RR+LL+LR+RRRRRLL+RL+RRRRR+L+R+R+LL++++R
LLLRLRRL+R+L+RL+RLRLL+L+RRLLR+LR++LLL++++RRRRL+LR++L+R+LL+LL+RLLL++R+RL+RRLL+LLRRLLLRL++R+RRLLLLRLRLRL+++L++LLLL+++LR+LRR+LL+RLR++RLLLRLLLLLL+L+L++RRL++LLLR+RRLL+LLR+R+RR+++R+RLRLLLLRL+RLLRLLRLL++LRRL+RLRRRL+LRLLR+L+LRL+L++RRRR+R+RLR+LLRLRR+LRLLL+L++LR+R++R+LLR+LRLR+LLRRRL+RRLL+L
++RR+LRLL+RL+L+R+R+++L++RR+LR++L++LL++R+L+R+L+R++++++LLRL+LRLL+LL+++LR+RR+RR+RRR+L+R+++L+LRL++RL+R++L++RLLLR+R+++L+LRRR+RL+LLRR+RRR+RRR++LRLRRLLLR+LRR+L+LLLR+RL+LRRLL+RLRR+LRL+RL++RRRRR+RLR+R+R+LLRLL+LRRLLR+++RL+L+RRRR+++LRL+R+++LL+R+RL+LL+++LRR+LLR+LRRRR+LRLL+RLRLRL+RRRRLRRLLLLL
RR+++LRL++LLLR+L+R+++LRLRRRR+LLLRRR++++++LLLLRL+RL+RR+RRR+L+RL+RLLRLR+L+LRR+RRLRRLL+RR++RLLLLLR+R++L+RLL+RRRRL+RLLLLR+L+L+++++LRLRLRR++LL+R+L++++R+R+LRR+RR++++LLL+RLRLRL++RLR+L+RRLRR++R+LRRLL+RLL+RRLL++++L+L+RL+LL+R+LL++R+LLR+R+LRR+RR+LR++LLR++RRLL+RLLL+++++RLRLRRRLR+RL++R+R+LLRR
+RR+L+RLRL+R++RR+LRLL+L++RL+L+RR++R+L+LL+LRR+++LR+LL+L+LRRR++LLR+L+LR++LRLRR+L++LLL+R+LRL++R+LRRLRL++R+LL++R+RLR+LLLR+L+R+R+L+R++LRLRLRLL+LRL++LR+RRLRLRRR+RL+RLLL+LLRRRRL+LL++LR+LLL+LR+L+LLR++L+LL+L+R++R+L+L+LL+R+++R+RLR+LL++++LR++L++LR+R+R+R++LLR+LL+RRRL+RR+LRLR+LL+R+LL+L+LLLR+R
RRRLRRRRLLLLLR+L+R+RRLRL+R++LRLLR+LLRLLLLLRLLL+++LR+RLLL+RLLR++R+L++R+RLRR+LR+RLRLLLLLR++++LL++RLLLLRLLRRRL+LRLRL+LRL+RL++LL+L+++RLRL++LLR+LL+RLRRL++RRLRR+RLRL++RR+RR+R+L+RL++LRL++R+++LLRLLL+LLLR+L+++LL++++R+RL+LRRL+RLRRLR+L+LLRR+RRR+L+LRLRR+LR++RLLLR+RRR+LR+LL++L+RRRRLRLLL++L+L+
LRRLLLLRRRRR+++++LRLL+++LRR+LRRRRLL++LRR+LR+L+RRR+LLRLR+RLR+LRLL+R+LL+RRRLRR+L+L+LLLL++RL+RRLLRRRR++RRRRLLRRRLR+L+R+++RRLL++LLLLRLLLRRR+LLRLR+RRLL++L+LRRRRLLR+RR++++R+RRR+LLL+L+LLRLR+R+RRL+RRLLL++LR+++LRLRL++RRLRLR+LRR+++LRL+LRRL+LR+LR++LRR++LRLRL++RLR+R+LLLR+RL++LRLL++LLL+R++LLR
+LR+L++LRR+LRLLLRRL+L+R+RLL+L+++RR+R+RRRR+R++RRR++LL+RR+LLRRR+LLLRL+RL+R+L+LRRLRRLL+RLRLLRR+RL+R+LL++L+LLRL+R+RRR++++LRR+RR+++++LRL+LR+R+R+RR+LL+LRRL+RRR+R++++L+L+LRL+L++L+LR+LL++LRL+++++RRR+LLLR++L+LRR+RLLRL+LL+++L++RL++L++LL+RLLLLL+R+LLRLRLL+RRR+LRL+L+RR++LR+RRL+RLL+RL+RRRRLRL+
R+RR+LR+LR+L++++RLLLL+L++L+LR++LLR+R+LLRR+RLL+L+++LLRLL+RL+R++RRLRLLR+LLRRRLLRLR++LRL+LRRLR+RRRRR+LRLLR+L+R+LRL+RRLLRRLRRLRRRRR+L+RL+LLLLR+R+RLLRLL+++LRL+R+++RL+R++R+R++R+LL+LR++RLLLL+LR+L++LR+RRLR+LLLR+L+R++RRLRLL+LLR+LRRLRRRRR++LR++++LLL+LLRRRLLLLLLLRLL++RRRRRR+L+RR+LLLLL+R++LR
RLLRL+L+RRR+LR++RLLL++LRLR++L+L+R+RLRLRR+R++LRLLLR+LR++R++++L++L+R+RLLR+++RL+LR++LR+++LL+RRL++LLRR++LRLRLRL+LLLR+LR+R++R+LRLRL++L+R+LRLRLR+LRLL+RRR++LLR+L+++R+LLLL+R+R+LL++RLLLRLRR+RRL++RLR+R+LLRR+++R+++LR+LLRL++++LR+R+RLR++RR+RLLR+LR+RLRLL++R+L++LRRR+L+LLRL+LLRL+RLLLR+L++L+LRLL+
+RR+LRL+RLR+RL+RLRR++LR+RR+LRRLL+LRLLLRLRLLL++R++RLLLL+LR+RLLL+LRRL+R++L+RR++++L+RRL+L++LR+RRR+RL+++RR+R++++RRR++RRRR+R+RLLL+RRLLL+RL+++++LRLL+++L++RRLLR+LRL+RR+R+RRRRLL+L++LL+LRRRR+RR+L+RRRLLLRLR+R++RLR+RLRLLRR+RL+RRR+LR++LL+RR+++RLLLR+R+R++R+RR+RLR+L+RR+R+RLLLLLRLL+L+++LR++LL+L
+LLRL++LRRLL+RR++RRLLR+LLL+R+L+RR++++++LRR++LLR++R+R+RR+RLRL+RLRR+RL++RRR+LLLR++LL+RL+R+RLR+LRRR+RLL+RLRL++++R++LLR++++R+LRLR++LLR+L+LRLLRLL+RL++RLLLR+++L++LLLR+R+RLRL++LLRLR+RLLLRLLL+LRR+RR++RRLLLR+R+RLLL+LR+RRLRLRLR++L+++RRRL+R++L+RL+R+LL+R+RRRRRRRR+L+++L+R+RLLL+RR+++LRR+LR++L+
RLLR+RL++L+LRR+RL++R++RL+LLL+RRLL++LRR+RRR++R+RLL+LLRL+LL+R+LL+++RL++LLRL+LLLLR+++RLLRL++R+L+L++LR++R+LL+LR++++R+RL+L+LLLR+RR++RR+L+LRLRLRRRL+LLL+++R++RRL++LR++RL+++RLR+L+RLLRRL++RLL+R+RLRL+R+RL+LRLR+RR+LR+RRLLLRR+RR+RLLRL++RRLLRLRLRRR+L++R++RLRL++R+R+R+RR++RLLRRRR+LR++R+L++L+R++
++RLL+RLRR++R+LRLLRLLR+LR+LLRL+RL+++LRLR+LLL+R+R+LR++RRLR+L+LRLRR++RRLRR+LLL+R+++LRRR+R++++LRLL++LL+LR+R++LRRRL+RLRLR+LLLLRR++++++LR+RR+L++LLRL+RRR++L+++LLR+R+LRRRRR++RLRLL+++LL+++LLR+LL+LRLL+L+LLL++R+LLL+LR+++LLLRL+++LLRL++L+R+L++LL++LLRRLL++R+L+L+L+LLRR+RL+++RLRR+R+R+RLRLRL+RR+
LRLR+++LLRL+R++LR++RRL+L+L+RLL+L+RLRR+RL+RRLL+RRRRLR+L+L+LLLRLLRRRL+R++LRLRL+RRL+R+LRLRLLRR+LRL+L++L+LLL++LRLLL+LLLR+RR++R+RRL++RRL+R++RRLLRLRR+++LLRRLLRL+LLLLL+RRR+LRL++++LLLLLRLRLR++L+RLR+RRRR+RR++LLLR++LRL+LLRRRLL+R+L+LLLRLR+RL+RRLRR+R+L++R+LL+L+R+RLR+RLL++++++++LL+R+L+RL++R++
LLLL+R+L+++R+RL+R++RRLRR++LLLLRLL+LR+LL++L+LRRR+R+LRRR++L+R+LRRLLLRLRRR+R++LLRLRR+R++LL+LRL+LRL+RLRLR+++R+LR++RLLL+RL+R++LRR+LLR+R+RR+L+L+RLLLRLL+LLRLRLLLLLLRR+LL+RRLRLLL+R+RR+++R+RLR+R++RL+R++RRRRRL+L+L+R+R+LL++++RLL++L+L+R+RL+LLL+LR+++RRLRLRLL+RLL+L+LRRLRLRRLL+LLR++L++RLRLRLLR+
+L++RR+RL++R++RLRR+++R+RRLL+L+++RL+RR+RRRLR+++RLLLRRL+RLRLLL+LLL+++++RLL+LL+RLRLLR++R+L+++LLL++LRLR++LLR+RLRR++LLRRRRRRR+LL+L+R+R++++RRR+LRLL+LLRRL++RRR+L+++RR++RL+R+LRR+++R+L+RR+L+RRLR++LR+L++LLLLL++L+R+LLLR+RL+LRRLRLRLLLLRLLL+RL+L+L++LRRLRLRRLR+LR++RLL+LLR+R+RRRLLRLRR+LL+LRL+L+
R+++LLL++R+RL+LLLRLLLRRRRLLL+LLR+++LR+++RR+LRRLRRL+LLRLRL+R++L++LLRRL+LR++++++L+R+RLLLL++L+RLLL+RR++RLLRL+RR+R+LRLLLR+L+LL+LLL+++RL++L+++LRR++L+LR+++LL+RRL++L+LLL+R+L+L+++LR+RLRRR+RL++LR++L++LL+++LLRRR+RLRLLL+R+RRRL++RRL+LLR+LL+R+LR+R+RLRLLLLRR+R+LR+LRL+LL+L+RL+LRLLLLR+R+++RRLRRL
+RRR+R++RL+RL+L++RL+LRLRRLLL++R+RRRR+RRLR+LLRR+LL++RR+LLLLL+LLRLR+LRLL+LRLRRRR+RRRLLR+L+R+R+LR+RR+++++RRL+LL++RLLRRLRR++L+RRRR+RL+L+LR++LRLL++LRLLL+L+LLLLRL+L+LR++R+LRRL++LRR++LL+L+R+LL+L+LRLLRLRRRRRL+LLRLL+++L++L+R+LRLR+R++L+++RRLLRRLLL+L+++L+RRLRRR++++L+RLR+LRLRL+LRRRRL+LLLL+LL
RR+LRRRRRRLL++RL+R+LRRRR++RR+R++R++LLRRRR++L++RLRRLR+LL++LL+LR++LLR++R+L+R+R+LL+RR++L+RRRLLR+R+R+L+RR++RR+R+RR+LLRLLRLR++RLLL+LLLRRRLRL++R+++L+R+R+RL+RRRLLLLR+LLL+++LRR+RRLR+L+R++RL+L+LRLRRR+L+RL+++R+LLLL+LR+R++R+++R+L+R+LR+R++L+LLRLR+RLLL+RRL+R++LRLR+LLRLLLLL+++RLLR+RRRLRLRRRLR+
LL+RRRLLLRLLRL+RRRLLR+RLRLR++RRLR++RL++LRLL++RR+RLRR+R+LR+L+++R+++LLLR+L+LR+++LR+L++RRRRLRL+R+++LR+L+LLRR+RRLRLRL+R+LRRLRLL++LRR+RLR+L+RL+L+LLLLLLRL+RRR+R+++RLRLLRRR++RLLL+R++L+RR++LRLR+L+LLRR+LRR++R+LRL+LLLLRR++++++++LR+LL++LR++RR++R+R+LLLLLLLLRR++L+LL++LR++RRLRRLR+LL+++LLRRLRLL
L+R+RRLLRLL+LLRRLLRRLLL++RLRRR++++R+LRRLLRRLR++LR+RLLLLRLL+RLRLLLRRR++RLL+RL+LL++LRR+LRR+R+++LR+RLR+L+L+RRR+L++RRLR+RLLRLL+LL+R+L+LLL+LLLLRLR+L+LLRRLL+LLR+R+LLLL++RRL+R+R++LR+LRLL+LR+L++LR+L+++R++RRL+++LR++++RLL++LLR+LR++RRRRLR++LRLRR+RLR++LRLR++R+LLR+RL+LL++R+RRR++RLLR+RL++LRRRL
R+L++RR++RL++L+L++RLR++++RR+L++LLLLLRR+LRRR+RLLLLR+++++RLRRRRRLRRRLL+LLL++LL+L++RRRL+RL+R+LLR++RLL++LRRRRRRLRLLRRRR+L+LLRL+R+LLLRLLLRR+LLLLR+L+R++LLRR+LL+R+LL+LRR++LLRRL+++L+RRLLLLRLLL+R+RL+RLLL+LL++RRRL++L+++++RLLLLL+LRR+++++RRR+LL+R+LLRRLLRLRRLL+LRRLRLRR++L+RRL+RL+LRLL+R+RL+RLR
LRLLRLRLL++RL+RL++LR+L+R+RLL+L+RLR++R++LLLL+LRL+LL+L++++LLL+RRRRRR+R++++L+L+RL++L++RL++RLLR+RLLLLLRRRL+L+LLLR++LLLRRL+R+LL+L+L+R++RR++LRL++++RLL+RLR+RLR++RR++RLLLRLL++RRL+LRRRRLRL++RRR++LR++LLRR+LR+++RL+LR+LLLRRL++LL+LR+++RLL+R+RLRLRRR+LLL+RRLRL+RRRLRR+L++LR+LRLL++RRRRLLLL++RL+R+
++LR+RLLLLRR+LL+RLR++LRR+LRRRLLRL+RL+++LRLRRLLRRR+LRRLL++RLRRL+RLLLRRLRR+RRRLRRRRL+R+L+RRLRRRR+LLRLRLRLLRLR++LRRLR+L+RR+RL+L+LRLL++R+R++RRR+LL++L+LR++LRR+R+LRR+RR+++RRLR+LLLRLRL+++RLR++++LRRRRRL++RR+RRR++L+LRLLL+RR+++RRLLRLR+RRRL+R+R+L+L+L+L+++RL+LR+LRLRLRRLR+R+RLLRRLLLLRRR+R+R+L
LRLLLL+R+RLRRRRRLLR+L+LRLR+RRR++++++RRRR+RL++RR+R+LRRLRL+RRR+L++++RLLL+L++RRLRRLL++RL+LRR+R+RLR+RL+L+LRL+R+++RLRRRLR+RR++RRRL+RRLRLL++LLRR+R+R+++L+RLLL+RLR+LLLLL++RL+R+R++LLL+RR+R+R+R+RRLLR+L+RRL+LR++RL+LLLLLLLRRLRRLRR+++L+RRRLR++L+RL+RLLRLLR+LRRLRLRR+++LLLR++++++RLLRRL+RRL+L++++
+RL+RRR+LRLRLRLL+RLLRR++RLRR+LLR+RLRRR+RL+LRLLRL+LR++R+RR+L+R++RLRLR++RRRRR+R+LLRLLLLRLRRL+R+RRRR+L++LLRLLL+L+RR+LL+LLL+L++LLRLLRRL+LR+LL+LL+LR++L++LRRL+R++LR+LLLRLL+RL++LRR+LL+L+RR+RLRRLRLRR+L++L+LLL++L+++R++RL+RL+LL+RRRRRRLL++R+L+LL++RRLRRLRLRR++L++L+LLLR+RLRLRRR+RLLL+RLL+LR+R+
LRRLLRLR+LLRLR+++L+LRLLR++++RL++++R+L+R+++RLRR+RR++++L+RRRL++LR+RLRL++LRRLLRLRRLR+RL++R++LLR++RR++L+LLRLLLLLRRRRR+LRLLRLRR++LLRR+++++R++RRL+RL+R+LRLR+LLLRRLL+L+LLL++LRRRRRL+R++RRRR++LR+R+RLRLRR+LLLR+RLRR++RLRLL++++RRLLR+LLLL+L+++++LR++L+L+RRL++L+RRL+RL+R++RRR+++LRR+LL+++R++R+RLRL
RRLLL+RRRL+L+L+LRR++RL+LLRLLRR++L++LLR+RRLRRLRLLRLR++LLL+LLLRLL++RLRRLL+RRLLRL+RRLRLRLLRR+++RLLLRL+L+++R+L+R+L+LLR+LL+++RR+LRR+RL++RR+R++RRRR+RRL+R++LR+RLRL+LLR+LRRRLLR+L+RLRRL+R+LRLL+RR+R+++RLL+RRR+LR+LLLR+R+LRRL+LLLRLRLRLRLRLL+L+L++RRRL+RRLLL++LLRL+R+R+LRR++RRRL+RR++RR+L+LRRRL+
+++LLR++RLLLRL+LRRR++R+RRLLLRLR+++LRR+L+++LLLL+L+R+RR++LR++LL+RRRLLRRLR+LL+RRLLLRRRR++LL++LLRR+L+RRRLLRLRL+L++LL++RLR+L+RRR+RRR++LR+LR++L+R+R++RLRRLRR+L+LRL++++RLRR++RL+RRLR++RRRL+R+RLRL+LLLLRLLL+LLL++LL+++L+++L+R++LLL++LRLLR+RR+LLL++LRRL+++LLLLR++LRRL+LR+L++++RL+L+L+LRL+LL+R+LRL
R++++R++L+L++R++RLLRL++L+LLRRRRR+L++R+LRL+LRLL+RLLRRRLRRR+R+LL+++LRRRL+L+L+RR+LL++LL+LLRR+RR+++++R+LL+++RRR+R+RRL+RRR+R++LRLRLRRRRLRRLRL+RLRL+L+++++RR+L+++RL+++RLL+RLLRL+R+LLR+++LRRLR+L+L+LR+L+++R+L+RL+L++LL+++RR+LLRRRRRRRRRLL++L+R+RR++L+LRR+RRLLLLLLLLLR+RRLLR++LLR+++++R+L+LL+RRR
LR+R++L+RLL+L+LRLLRLLRR+RLRLR+LL++LLRL+RLRR+RLL+RLL++L++RRL+L+RR++++RLLLR+RL++LLLRLR+R++LL+LR+R++L+RLLR+LLRR+L+L+LR+LRRLLRRR+RLLRLR++RR++RLLRLL+RLLLRR++LRRRLR++L++R++++RLR++LLRRLLL++LR+LLLLLRLR+L+RRRRR+RLRLRR+R++LL++++++R+LR++L+RR++L+RLR+RR+LRRLL+L++LRR+++LLRRRLRLRRRR+RRL++LRLR++
L+LRLL+R+++RRRRR++LLR+RRRR+LLRR++LLR+LRRRLLR+LRLRLLRLRL+LRLRLRLLRR++R++RRLL+RR+RR+L+++LL+RR++R+LL+RR++L+L+RR+++RR+RRL+R++++L+++R+RLL+R+L+LRRRR+++LL+++RL+LRRLLRL+R+RRRL+LRR+LL+L+RLLR+LR+L+R+LLL+RRRRLRRRRLLLRLLL+LRLL++LR+++LLRRRRRLRR+RL+RL+RRRLRL+++LRLR+RRLL+LR+RL+LLL+RLLRL+RLLLRRL
RRR+RR+++RR+LRRRLLR+R+LRLRLRLLLL++RRR+LLR+LL+RL+RRL+LL++LRL++RLL++R++R+LL+R+LRL+RLLLLR+LRLLLRLLL+++R++LRR+RRRRLRRR++RRLL++++++RLLLL++L++RLL+LL+RRL+LRLL+R+++++RRL+RRL++LR+LRRLR+LRRL+RLLLLRLLL+RLRL+LRL+R++LR++LRRR+LRR++R+R+RLRRRLLR+R+RLL+++R+LR++LLLL+L++RL+LR+L+++LLL++RRLLLLR+RL+RL
R++RL++L+LLRLLLLRLR+LR++L++LR+RLR+R++RRRRLL+RLRL+RRL+LR+RRRRLLLLR+RLL+R+LR+LR++++LRL+LRRLLLR+R++RR+LR+L++LRRLR++LLRLR+R+L+L++RL+++RR+LRLL+RL++LRL+L+RR+R+LRR+R++L+LRRRLR+R+L++++R+LLRLLRR+RLLLL+RL++LLLLLRRRRRR++LLR++R++LRRL++L+LR+RRLL+L+L+RRRRRRLRLRRLLLLLLL++RRRLLR+RR+++LRRLLL+LRRL
+LL+LL+L+RLRRLLRLRLLLL+LRRLRL+L+L++RL+LRL+R+RLRLLLR+L+L+++RRR+++RLL+++L+LR+RRLRLR+RRL+R+R+++LLLRRRRL+L+L++R++LLLL++LL++RRLLL+LRR+RLLR++LLRLR+R+RRRRRR+RLRRR+RR+LLRRL+R++R++LLRRLR+L+LL+R++LRLR+L+RLLL+RRRLRR++RRRR+++RRRRLRR+LRRLLR+LRR+L+RL+L+LLLR+L+L+L++++LL++LR+LRLRR++L+RRRRR+++R+L
L+RLRRLLLRRRLRRLLR+L+LLRRR+LRL+++L+L+++LR+L+L+L+L++++R+RL++RRLR+R+RR+LRLR+LLR++L+RRR+++LR++LLLR+RLR+RRRR+L+++L+RRRRRLLLLR+++++L+LLLLLLLL+LR++++++++RR+RL++RRLR++R+RL++LLL+RLLRRLL+LR++RLRL++RL++++R+L+L++RLRLRLRRRL+R++RRR++RR++L++LLLLL+LLR++++LRL+LRRRLRLLLR+++R+LLRLRR+L+++RR+R++++LL
L+L+RR+LR++RRL+++R+LL+RLLLLR+L+RLRRLR++RLR+L+LR+LRL++LRL+RL+LR++RRRLL+L+LLL+++RRLLLRLLLL+RRR+L+R+LLRLL+RLLRR+RLR+++LL++LLLL++RL+R+LRL+R+++++L++R++RR++LLLRRRRL+RRL++++RR+RRRRLL+L+R+R+LRRL+R+++RR+RLRR+RR+RRRRR++LLLRR+R+RLLRLRLLRRRR++RR++R++++R+RR+L+RRL+++RLLLLL+RLLRLLR+RR+L+RLR+RR+
RL+RLRRR+RR+LLL+L+RL+L+LRLRL+RRRRL+++LLLLL++L+L+RL+R++RLLRRLLLLR+++LL+R++LLLLRL+L+LR+LRR+RR+RL+LLL++RRLR+RLRRRLLR+++RL+R+LRLR+L++RL+RLR+RR+LRRRR+LR++RRR+L+RLRLLRL+RRLR+LLLLLLL+RRLRL++RRR+R+++L++LLRLRR+++RLRRR+RLL++L++L+LRL+LRLR++LL+RRLLLLL+LRRRLRRLLLL+++++RRL+R+R+R++R+RL++LR++RL+
RL++RRR+RL++R+L++L+RL+R+LRLL+LR++LR+LRLLLLL+R+R+LR+L+RR+LRR++LRRRL+++RL+R++RR+LR+R+L+RL+L+LLL+L+RLLRL+R+R++++L++RLLL++RR+RRR+RL+RR+L+R+LR++LLLRLR+++L+LRR+LRRLLLRR+RR++++RRL+L+RLLRRRRRRLRRRLLR++RLRL+++++L+RLLL+LR+RR+RR+LRLRRL+L+LRR++L+L+RR+R+R+LLRLRR+RR+RLL++LRRRLRLR+LLL+L++LRRRRL
LRRRLRRRL++L+LRRLLRLL+RRRRRL+LRRR+R+RRL++R+LRLRLLR+RLR+R+RLL+RRRL++R+R++RR+RR+LL+++RLRL+++RL+LLL+LRRRRR+LL+RLR+++LLLRLLR++RRRRR++LL+++LL+LLLL+R++RLLL+LRL+RL+RRR+RL++RLRRRRR+LR+RR+LR+++R+++RLRRR+LR+L+RLL+LR++R+++LLR+L+RLLL+RRLR+RRLLRLRLLRRL+LR+++RRRR+L+++LL+R+R+RRRRR++L+LRR+RLRLRL
LL+R+RLLRRLLRRRRRR++LLLLLLLR+LRLRL++LRLR++R++R+R++R+LRR+++LLL++LL++RRRL++LL+L+L+L++LR++RL+L+L+LRLLRL+LLL++RR++LRLRL+RLRLRLLLLLLLL+LL++RLL+R+LLLLRRL+++LR+R+LRRRR+LL+R+LR+LRR+RLRL+RL+L+LRLLLR+R+R+LRRRLR+RRR+RL+LRLL++++LLR+RLRLR+L++RRLRL+RLL+L+LL+LLRR+R++LRRLRRRLL++RL+LLRLLR+LLLLRL+
LLL+++LR+LRLL++R++RR++LRR+R+L+R+RL++RL+LLR+++LRL+++RLL+RLLLLRL+R++RL+RR++++L+RLRRRL+R+++L+L++RR++R+RLLL++R+LLR+R++LLR+L++++LLLL+R+LRRRRRRLRLLLRLR++RRLLRLLLLL+RRLLLLLLL+RL+RRLRLRRR+R++LLR+RLLR++L+LRRRRL+LLLLLRR+LLRLLLR+L++++R+R+LLRRLRLRLRLRLR+RRR+LRR+L+LRL+R+RLL+++L+LL+L+RL+LRL+++
LLRR++++++++R+++RLRRLR+LRR+LRLRLRL+L+R+R+RLRRLRRRLLLRRLLRLLLR+RLLLRR+RRLLR++LRLR+RRRRRRRL++LLLRLLLL++RRR+LR+LRRRRLRLLLRLLLLR+LRLRRRLLLR+R+RLRRRR++LLLRLRLR+LR++LLRLRR+LRRLLLRLRL++L+LLR+R+++LRRLLLR+++RRLLL+LRLL++L++L+++LLL++RL++RLR+++++++RRRRR+RL++++++R+LLLRRRR+R+++RLR+++L+RRL+LRLR
++++RLLRRL+L+LLLRLRRL++++++L+LLL++++++R++L+RL+LL++RLLLLLLRLLRL+LR+LRLLLLLL+LRR+LL+LR+LR++RRR++R+R+RLL++RRRR+LLRRL++LRL+RL+LLLLL+L+RL+L+RL++R+++L+L++LL+RR+L+RL+L+RLRR+R++LRR+L+RRR+L+LR+RLRR+RRLRRRL+L+L+LL+R+LLRLRLL+RR+R++R+LLLLL+LLR+RLR+++LR+RL+L++RR+++LLRRRLLRRRLRR+LRLLR++LLR+++L
RLRRR+RR+LR+L+RLR+++LLRRL+LRR+LR+++LLLLL+RLRR++RL++RLL+LR++L+RRRLR+L+R++LL+++L+RRL+++L++++RRLLR+LL+LRRRL++++LRRL+RRRRLRR+L++RRL+++RL+LLRL+RRRRR+LRLL+LLLLLLR++LRLL+L+LR+L+++LL+RLLL+LLLRR+++LR+L+LR+LLRL+LRLL+R+LRRLLLRLRRLRLRLRRLLLLR++LRL+RRRLLLLRL+LL+LR++R+++RLRRR++RLR+RL++L+RLLL+L
LRRLL+RRLLLR+RR++RLLRL+L+R++LLRLRRLLRRR+R+L+LRL+++RRLL+L+LLLR+RLRRLRLRLRR+++++RR++RRRR+LRLRL++L+RLRR+LLL+R+LRRRRL+LLL++RR+L++++R+LRR++LR+RL+LR++L+++LRR+++RRRLRRRLRR++LRL+++LL++R+LRR+R+LLRR+++L+LR+RRLL++LRRRRRRLL+RLRLL+L+L+LLR++LRLRRLR+L++LRLR+RL+RRR+LL+LRR+++R++LLR++++R++RLR+RLR+
RLR+R+RRRR+RLRRRLLRR+LR++R+++L+RR+++R+RRLRRLRR++R+RLL+LR+RLLR+R+L++LL+LRR++R+LL+L+L+RLLLLLR+LRLLRL+LR+RR+RRLRLLL+RR+L+R+LRRLRLLLLL++++L+RRLL+++RLRLRLRLLLL++R+RR+L+R+L+R+RRRLLLRLRLR+RRRLR++R+RRRRRLL+RLR+L+LLR+++LLR+LL+L+LR+RRR+R+LL+RRL+RRR+LL+RR+++RR++LLRL+RLLLR+LLLR+RLRLLRLR++L+R
++L+R++RLRLR++RL+++RL+++LRRRLR+LR++RRLRRR+LL+RLRLRL+RLLR++R+R+LLLR+RRRLL+RLRLL+LR+LRLLLLRRRRLR+LR+RRL+L+++RR+RR+RL+LLRRLLLL+R+RLR+R++RR+R+L+R++RLR+R+LRL+LR++++RL++LLRRR+LR+RLRRRL+L+RL+RL+L+R+L+++++R+R++LRRL+L+R+LRRL+RRL+LRR+L++LL++LLRL+++RRR+LRRRLL++RRLRLRRR+RRR+++LLLRLL++RRLL+++
L+LLRLRR++LR++LR++L+LR+++RLLRL+RLR++RRRLRRRR++RRL+RRRR+R++++L++RLRLL+R+RL++LLRL+L+R+R++LLRRR++LR+R+R+RLLL+R+R+++R+RLL+LR+RR+LR+L+LL+L+LRRRL+L+RRRR+LR+RR+L+L++L+R+LRL+LLR+LRLRLRRRLLRRL++RRLR+R++RL+LRLLL+L++LLL+LRRL+++RRRLRRRR+LLLLRLRLRRRRL++RLLL++R++++LR+LR+R+RLLLRR+L+LR++L++R+RLL
LLLLL+LR+L++RR+LR+LR++LLLRRLLRR+LR+R+LRLR++LRRRLRLLRL++++++++LR++LLR+++LRRLR+LLLLRLL+L+LLRR+RRR+L+RLRRL+RLLLRRR++R++L+LRL+L+LLRLRLRLRRR+LLRRL+LLRRLL++RL+LR+R+R+RLL++++RL+LRL+LLR+R+LL+LL++LRRLLRRLR++RRRLRLRRRLRRLR++LRRLLLRRR+++L+LLLRL+RRRR+LLR+L++L+++R++RRLRLL+RR+L++R+LLLRL+LRRLR+
R++LRLLLLLL+LRL++++LL+LRLR++LLRL++RLRLLRL+R++++++R+LRRRLRLLRL+RLR+++RR++++RRLLLRLR++RLR++RR+++++LLRLL+LR+LL+++R+R++RL++LL+L+R+LRLRR+RLRL+RR+RL++LLLL+RLLRRLLLL+RRR+++RRRL+LLRRL+RRRLL+RRLRRLL++RR+RRLLL+LRR++RL+RRRR++LLRR+RR+LL+LL++LR+RLR+L+L+++LRRLR+RR++R+++RLL+LRLLL+LRR++RLRL+RRLL
RLR++R+R+LRLL+L+LR+R+RRL+R++RRLLLRRLRL+LR++R+LL++L+RLRLLLLL+LL+LL+RR+R++LRRRRLRLLR+L+LLLLLLL++L+++R+++LRRR+RLRLRRLL+RLR+RL+RLLRL+LLR+R+++RLLLR+LL+R+++LLR+LR+LR+LLRL+LL+LRRRRRL++RLR+++R+RRL+RL+L+LLRLR++L+L++++LRRLLRLL+RRRL+L++LLRRL+LRRRR++LRLRLL+RRR++RLLRL+LRRL++RLRLL+RLLRRRRRLLRL
RRLRLL+R+R+L+L+RRL++++++RL++++++RLR+L+R+++LRL+LRLRRR+++LRR++RLRRLRLR++++R+RLR+RRRR++L+L+++RRLL++LRLR+LRRRRRL+RL+LLRLL+LR+LLRRL+LL+R++RR+LRLL++++RLLL++RR+RR+LL+L++LRL+RL+R+LLLLLLR++LRLR++LL+L+RRR+LRL+LLR+R+RLRRLR+++++++R++L+LLRRLLL+LR+R+LLRLR+LRR+RLL+LRRRRLRRL+RLL+RR+RRLL+++LLR++L
RLLLRLRL++LRRR++++LL+LL+LLRLL++RR++++RRRR+LRRL++R+LL+RLLR++LRLRL+R+RLLLRR+++RL+LLRR+LR+LR+L+++LRL+RR+L+LLRR++++LLLLRR++LR+RLRRRLLRLRR+LLRRRRRRL+R+LR+++++R+RRLL+LLLRRLR+++L+LR+++RR+LRRR+L+RR+LR+RLLL++L++LL+LL+LL+++RR+++LRLLL+LLRLRL+RL+LLRLRL++L+RRLRLLL+RR+L+R++RL+RLLR+R+LRL+RL++LR
+L+RL+RRRLRR+LLL++LL++LRLL+RLRR+LL+LRLRRR+++RL+LRRLLLRLR+LRR++LRLRLR++LLL++L+RLRRLRR+LR+RRLRR+RRRR++LR+LRLRL++++LRL+LL++RRLRL+L+L+LR+++RLR+LLL+R+LRRLR+RRR+LL++LRRLRLL++RR+++L++RRLL+RRRR+R+RLL+LLL++RLLRL++R+RRRLLR++RRR+RLL++LRLLLR+LL+LRLRLRRRLLL+L+RR+LRLL+LL++RR+++R+RRLL+LRL++R+++
R+RL++LLR+RRRL+RRLRR+RRLLR++RRLRLRRR++RRRR+RLL++RLRR+RRR+R+L+L+LRLRR+RL+L+LLRLRLL+LL+RR+++LLRRRRL++R+RL+R+RR+LL+RLL++L+RLLLLRRL++++RRRRRLLRRR+L++RLR+RR+LRRRRL+RLR+R+RRR+LRR+R++LRRLRRLLRL+L+LRRRLR++++LRLRLRRL+LRLL+LLRL+RRR++L+R+L+LRR++LL+LR+R+LRR++L+++L+++R+++L+LLL+LR+R+RRL++R+L+R
+RRR+LRLRRL+L+L+RL+++RLLRL+R+LRLR++LRR++LLR+LRLL+RRRRRRRLLLLL+LRRLL++RR+++LRL++LLRRR+++LRLLRRRRL+RLLLLL+RRR+RR+LL+LRLL+R+LRRRR+RRR++LRLR++LR+LRR+LL+RRLLRRL+++R+LL++++RRLLRLRRRRRRL+R+RLLRRLL+LRLR++L+LLR+LRR+L+LRLL+LRR++L+++++LRRRR++LR+++LR+++LL+LLL+LR+LLLR++R++RLLLLRLRLRRLR++R+RRR
++LRLR+LL+R+RL+LRL+++++R+RR+L+R+R++RRR+RRR++RRR++++RLLLRLL++++L+R+LRRLL++++++R+LRLRLL+LL+R++RRR+RRRLLRLLL+R+RRLR+RL+L+RL+LRR+R+L+++LL+++R+LRLR+R+LRR+R++RLL+RLLLRLRR+RLL+RRR++R+LRLRR+LRLRLLLRLRL++LLR+++RRR+L+RR+LL+++++L++RRR+RRLL+LRRL+RRLR+L++LLLL++LL+L+RL+LLRLLRRRL+LRRRRL+L+R+++R
LRRLR+LR++LLL+++LRL+RRL+LLRLLRR+L+LRLL+LRL++LLLL+RRRLRRRLRLR+LR++R+R+R+RR+LLLR+L+++RLLL+L++R+R+RL+L+LRLLRLLL++++RR+R++LLL+LR+L+RRRRRLLLR++L+L++++++RLR+RLLLRRLL+RLRL+RLLL+LLRL++L+LLLLL++LL+RL+L+R+L++LLR++RL+LLLRL+RLLL++RR++++LR++LR+R+LL+LRRR+L+L++LLL+L+LRRR+R+RRRR+RLLRL+LLLRR+RLLR
RRR+LLLL+RLRL+++LLLLRRL+RLR+RLLRR+LRR+L+LRR+LR+L+RLRR+RR++L+L+R++RLL++RLLR++LLR+L++RR+R++++L+LRRRRL+LLLLL+RLL+LL+++L+LLRLR++++LL++L+LL+RR+RRRRR+LLLL+++RLLLL+L+RL+L+L+RL+RR+L++RRL++L+L+LRL++RRR+L+R+RLRLLR+L+RR++LRLRL+++RLRR+LR+RLLLRL+R++LRLR++R+LR+RRLRLLRLRRRL++L+++RRR++LRLR+LR++L
RL+R+LR+RR+++L+R++L+RRLRLRR++RL+LLLRLRRLLR+R+LL+LLL+LL+R+RLR++LLRL+RR+RLLRRLLLL+++R+LL+LRR++R+RRR++R++RRLRL+LRRL+RRRL+RR+L+LL+LL++LR++R+L+RL++++LLLLLLRLLLLRL+RLRRL+R+LR+R++L+LL++LLL+L+L+L+LLRL+L+++R+L++++++RLL+R++LLL++LLRL++RL+LL+LL+LR+RLL++L++RRLLRLL+RL+RL+RR+++L+LL+L++LRRRLLL+L
+RRLRLR++R+++++LR+RLLLL+RL+RR+R+LRRR++L+++R++LRLLLLRL+R+++L+RRLRRLLL+R+R+RR+RRR+++RL+RRRLRRRL++++L++LR+LL+LLLRRRL+R++LL+LR+++L+LLLLLRLR+L+L+LR++RRRRR+++L++RRL+L+RLRL+RR+RRLLLLRRLRL++++LRR+L++++LL+RLR+RL+R+R++++RLR+LLRLL+LRR+RRLRR+R+LLLRLRR+++LL+++L+L+RLRLLRRLRL+LL+RR+R+LRL+L++++R
R+RLRRR+++RLRRRL+RRRLRLL++RR+++LRR++L++LR+R++LR+RL+RRR+RRR+++LRLLLL+RRRLRRRLL+RRR+RL+L+L+LRRL+++++R+LR+RRR+RLRLL+L++++R++RLRRRRRRRRLR++RR+LLR+R+RLLLLR+LRLL+R+R+R+RRLRL+RRL+R++R+L++LL+LLRL+++LLRLLLLLLLLRLLLL+LLRRLLR+R+RLR+++++LL+RLLRL+RLRLR++RLLLL++R+++RRRRRRL+++LL+LLRRLL++LR+L+RR
LRR+RLR++R++R+RRRRRR+++++LLLLLLL+LL+LRR+LR++R+RL+L+LRL++LLLR+++L++R+LLL+LLRRRR+LRLLLLR+RRL+LLR+RL+L+RRRRLL+LLRLRL+L+LR+RLL+LRR++R+RL+R+LRL++RRLLLR+LRLRRL++R++L+++RL+++LRLRR+LRR+RRR+++R+L+LRRLRLLLRLRLR+RL+RLR+L++L+LRL++LLLRL++RLLLRLRRRLR+LRLL+LRL+RLLLR+++RL+L+RL++R+R+LRLR++L+++RR+
RRL++R++RLRLLRLR+L+RL+++RR+RRRLL+RLLLRLLRRL+++R+++L+RLLRL+L+L+L+LL+LLLLRR+LRR+++RLL++++R+RLL+RLLL+L+LRRRLRRRRR+RLRRR++L+LL+RLLRR+L+R+LRL+L++RRLLL+RRRRRR+RRRRLR+L+L+LL++++LR+L+RRRL+L+RRLRRLLRLLL+RR+++++RL+++RLRR+++R+RRR+RR+RR+R+RR++LRRLL+LL++LLRL+R+R+RLRLR++RRLRRRLR+RR+R+LLLR+RL+L
LLLLRRL+RRR+RLLL+LL++LLLR++R+++L++RRRL+++LR++R++L++++RL+LLLR+L+LLR+++L+RLRRLRL++++RRR+RRRRRR++RRLL++R++LL+RL+RLRRRLRRRLRRR+R+RRRLL+RLRRRL+RRLL++LR+R+L+RR+LL++L+RRLRRR+LRLLRRRR+LLLL++L+++LLR++R+R++LRRLRL++++++RL+R++RL++LLLR+L+LL++RLLRR++L+RLR+LRRRLLL+RR++R+L+LRRL+LRRLL+RRRLL+RRLRL
RL+RLL+RL+LR+L+L+RL+RR+R+LR+LR+L+RRL+++R+L+LRRLLRLLL+LL+RLL+LR++LR++R++LR+LRLLRL+++RRLR+++LLL+RRL++++L+LRLRRR++LLRL++LLLRLRR++LL+LRRRLLLL++RL++RL+LRLRR+LL+RLLLL+LLRLR+LLRLL++RRRLRRRR++RLLRRRL+RLRRLRL++RRL++LLRRL+RL+RRLLRL++LLRR+R+RLR+LLL+LRL++LR+LL+RRLRLR+RRR+++RLL+L+LLLR++R+++RR
+RR++R+RRR+++RR+LL++LR+RRLLRR+RLRR+L++++R++LR+LR+L+LR+L+LRLRLL+RLLLRL+RRR++LL+LLLR+RRLL+R+LRR+RRLL+LR++LL+++++L+LLRRR+R+RLRRRR+R++LRRLL+++L+L+R+L+LL+RLR++R++L+R++LRLRRL+++LL+RR+LR+RLLRRRLL++++LRLLR+R+LLRLRR++L+LLRRLRRL+LRL++LLL+RLRLLRRRLR++L+R+LRLL+L+R+L+L+L+R+++RR++R+L++RRRR+RR+
+RR+++LLRR+LL++L+LLLL+++R+RLLL+R+LLL+RRLLR+R++R+RRLRRRR+LL+LLRR+RL+R++LR++RRRRRRRLLLLLLLR++R+RL+RRRLLLL+L+++L+L+L+LR+++RRL+L+RRLRRLLR++++++++LLR+L+++RL+RL+RRRRLLRRLLLR+R+LL+LL+RLRLR+LRLRR+LLR+R+R++++R++RRRL+RR++L+LRRLRRRRRRLRRLL+R+L+RRRLLLLLLR++RR++L+L+RL+LLLLRRLRLLLL+LRRLLL++L+L
+LL+R++LLRLRRLRL+LRRRLLR+RRRLLRRLLRR+L+RRLR+RL+LL+LRLR+++LRRLL++LLRRLR+++LRL+L+LRR++++RL+L+LRLL+R+L++LR+++R+LLL++LRLRRLLLRLLRRRL+RRRL+++LRRRLRLL+LR+L+RLL++++LRR+RL+RL++RL+L+LRRLRL+RL+RL+LL+R+R+++++L++RRLLRR+LRL+++RRR+L+RR+L+R+++R++R+R+LL+++L+R++LL+RR+RRRRLRLL+++R+RL++L+RLLLLL+RL+
LRRLL+LR+RRLLL++L+LL++RRRRLRLRRL+RRLLLRRLRRRLL+L+RLR++++++RL+R++RRLR+++RLLL+LLRRRRRRRLLRL+LLRRLRR+RL+RLRR++R+RLRL+++L++RL+RRLLRLLRRRL++R++RL+LR+RLLRRR+++RRR+RR++LLLLR++LLL+LR++RRL+++RL+R++R+RR+RR+++L++L+RLL+L++LR+++RRL+++LLLLLRRLLL+RL+LLLLLRLLR+LLR+RR++L+R++++RL++L+R+LLL++L++R+LL
RLRRL++RL++RLR+++R++LLRLR+LL+R+R+RL+RRRLRLRL+LR+RL+RRLR++LLRLLRRR+LRRR+RR+LL+L+LR+RRL+R+R+LRLR++RR+LL++L++L+LRLRL++LLR+L+RLRR+LRRRR+RLRRRR+R++LL+++LR++LRRL++RL+L++LLL+L++RLL+++R+LLR++LRL+LRR++R+RL+++++RR+RRL++LRRRL+LLR+++LRLRLL++L++L+R++RLLR++RRRRRRRLRRR+LLLLRR++++R+RRR+L+LR+LLLL
LLRLRR+R++LRLRR+RRL+RLR+R++L+L++RL++R+LLR+RRLR+LRLLLRRLLL++LRL+++L+RR+L++RLR++RL++L+R++LR++RRRRLL+L+L+LRR+R++RRLL+R++++LRR++RRLRRRLRRR+LLL++R+RRL+L+LLLRRL+++RRLLL++LRRL+++LL++R+++RRR+LRLL+L+LL+++R+RLRL++R+LL+RLR+L+RLRRLRLLLR+LRR+RLLRR+++++RRRR+RLLLLLRL+LRLL+RLR+RR+LLL+R+++RRL+LRR
LR+RRLLLR+RLR+LLLR+LLLLRL+RRR+L+LLR++LLL++L++R+LR+LLLRRLRRL+RLLRL++++LR+LL+RR++RRRR++R+RL++RLL++RLLLR+++++RLR+R+R+LRRLRL+RR++RRR+RL+LL+LLLRLLRR++LLRR+RRR++RLR+RRRR+RRLLRR+LR+R+LLRL+LL++++LRRLL+LRRLR+RLL+++++L+L+RRL++RRL+RRLRRLLRR+RRLL+LRLLRRRL+++RL++RL++LR+L++RRRLRRRR+++R+LLRR++R
LLLLRR+RRLLRL+R+RLR+LRRRL+R+L+RR+LLR+LR+R+RL+R++LRR+L+L++R+R+R+R++L+R++RRLRL+RL+RR+R+L+R++R+RR+R++R+RRRRL++++RRLR++++LR+LL+LR++LLLR+RRLR+LR+++LL++++RLRRLR+LLRR+L+R+L+RL+RR+R+L+RL+L++++L+L+R++RR+RRRLR+LRRL+RRRR+RL+++L+R++RR++LL+++RLR+LL+LLRR+RL++L+RR+R+R++RRRLL+R++R++RR+LLRRLR+LR+
LRRR++RR+R++LR+RLRL++RLL+R+L++++LL+R++LLL+R++R++++RLRLRRR++R++L+L+LRRR++R+RRLL+RRR+R+RLLRRLRL+R++R+RRLLLL++RLR+RRL+LRL+LL++L+RR+LLLLRLLLLRLLL+L++R+L+LL++R++LR+RL+LLR++RRLLL+++R+RRLRLLL+RR++LLL+LL+R+LLRRLL++L+++++++RLL+LR++LRR+LL++L+L+RLR+++LRL+R+LLRL+++R+R+LR+L+RLRLLLRRRLRL+LLRL+
RRRLL++RL+++LLLLLRLLRLRR+LR+RLLRL+RRR+RL+RL+LRL+RRLLLL+LRR+++R+R+RRLRRRLRL+++L+LR+RR+LRR++R+RLRRRLL+RLRLLRR++L++L+++R+L++RRLLR+R+++RL+R++LLR+LL+RRLLLR+LLL+RLLR+RL+RRLLLRLR+LLLLR+RRR+LR+LL+LRR+L++LLLLR+LR++RLLL+++LL+RR++L+L++RR+R+L+LL++++RRRR++R++RL++++RL+L+L+L+L++LLLRLLLLLRR+RL++
+RL++L+RLLR++LL+L+L+R+RL++LRR++RL++RLRRRRLLLR+LRLRR+L+RL+R+LR++LRLLR+RR+L+L+RRLLRLRLR+LLLR+LL+RRRLRRRRL+L++LLLLLRLR++LRRLL+R+LLL++LRRRLR++LRRL++L++RLRRRRR+LR+LR+LRRLLLRL+LL+++L++RLRR+RLL++R+L+LLRRRRLR+L+RRRL+R+LRL+L+RRRL+LL+R++RRLRRRRRLL+++RLL+RR+LR++LRLRRL+R++LLRL+RRR++LRR+LLLLL
+++++RL+L+R++RL+L+LL+RRLLLLL+LRRR+R++LL+RLLRLRLR++RLL++L+L++RLR+LRLLLLRRLLLLRRR++L+RRRL+RR++L+LRL+LR++R+LRR++RRRLLLRRLLLLRRLLLLR+RLLLRLRRRLRLRR+++RR+L+L+R+L+LRRR+++LRRLLRRLL+L+RL+LLLRR+LRRR+R+++R+LLLR+RL+LR+RR+R+LR+L++LLL+R+L+L+RR+LLLLLLRRLR++L+RR+RL+RLR+L+LRRRR+++++RRR+RL++RRR+R
++LLL+RR+LLR+LR++LLRRRRRRR++LRLLRLRRR++LR+R+L++R+L++LL+++L+LRL+RRRRRRL+LL+LLLRR++LRRR+RLLLLLL+RRLRLLRLL+RRLLL+L+L+LRLLRR++RL+RRLR+RLRLRLRL+RRL+++R++R++LL+LLRR+L++++R++LRL+LR+L+L+RRR+RRRR++RLRRLLR+RRLLR+RRRR++R+L++LRL+++LRRLLL+LRRL+++R+RRLRRRR++R+RR+RRR++LLRLL+RLL++RR+L+LRRLRLLL+L
+RRLR++++LLLLL+R+LR+LLL+R++RL+RLRRLRLL+++++RLLLRLR+LL+L+R++LRR+LLLRL+R++L++LRLR+LRL+LLR+++RRRLLLLRL+L+LLR+R+L+RLRLRL+++RR+R+RLRR+LRL++RR++RR+++R+LRRL+LL+R+RRLRRRR+RRL+RRRRLLRR+LLR+RRLLLLRR+RLLLL+RLR+LRR+R+RRLRL+LLL++LLLRLR+++LLLL+R+R++RLL+L+LRR+LRRRL+LR+R+RRLR+LL+++R+LL++RLR+LR+L
+L+LRRRRR++L+RRLRLR+RLLLLLRL+L++++LR++RRRR+++RRLRRR+L++++RRLLLR+RR++++LL++RLL+LL++RL++RR+L++R++R++R++LRLRLL+LLR+LLLRL+R+++R+R+++RR+RRRR+RRL+++RLRRR++R++L+LL++LRL+RL+LLR+++L++LRLRRLLRRLRLL++R+LL+R+L++++LLL+R+RLLRLL+LLR+LRL+RRR+R++LR+LLLLRRR++LRR+LLLLRR++LLLLL++++LLRRRRRRLR+++RRRRL
R+RRRRRR+LR+++L+RRLRL++++RLLR++RRRR++RRRR+L+L+L+RL+RLR++L++RLR+LLL+LLRRLRR+++RRRR+LLLRLLLL+++R+L++RRRLL+RL++LR+L+RRR+R+++LRL+RRLR++L++LRRRRRL+RLLR+RLLL+LR+L++LRLLLLRRRR+LRLRLL+RLRRLRR+L+R+RLRRLLL+LR++RR+LL++R+LR+L+LLRL+RLR+LLR+RRRRRLLR++L+LRR+RLL+RRL++L+R+R+L+++RLLR+RL+LR+RR++++R
L+RLRR+RL++RLR++R+RL++RL++LR+RRL+L+L++LL++L+LRRRRRR+RR++L+RR++RL+R+LL+LLR+LL+R+L++++R++RL+RRRLLLLL+R++R+++R++LLR+L+R+L++L+RRRLRLL+LRLL+LR+L++RRRL+RLRLRL+RR+RLRL+RL++L+RLRLRLRRR+RRLLRRLL+RLR+++R++RR+RLLLL++LRR++R+RR+LR+RL+RL+R+RR++R+LL+RRRLLRL++++RRL++R+LRR+RLL+RRL+R++LRL+R+++++LR
RLLL+L++RR+L+R++LRLR++LL++++LLL+RRLR+RRLR+RLLLRLR++RR+L+LR+++L+LLR+LR+LRLLLLRRR+L+LR+LL++RL+LL+RRLR+R++RRL+RRLR+L+LLLR+RRR+RR+L+LL+L+RLLL+LLLLRL++LLLLLL++RRL+RRLLRLLLLLRRR+LLR+L+++R+L+LRR+LRLLRLLLLLRR+LLRR++RR+LL+L+++LR+LL+RLL+LLR+LR+++LL++RLRL+++LRLLLR+LR+L+R+RR+LR+LR++R++R++LLR
R++R+++RRR+RL+LLLL+LLR++R+L++LR+L+LRLLLRLLLR+R+RRRRLLLLRR+LL+L+R+++RR++RLL+LR++LR+LRRL+LLL++RRLLLLRRLRRRRR+R+RR+RR++RL+L+RLR+L+R+R++L+LRLLL+L++++LLRRRLLRL+LL+LLL+LL+L+R+R+LL+RR+RR++L++LLLL++++R+++RLLLLR++LLL+R+RRL++LL+R+L++LRR+LR+L+++LLLRLLL+R+++LL++RRLRLLRLLRRL++R++++R+L+LRR++++
L+++LRRRRRR+LL++RRL+RRLR+L+RR++RR+RL+LRL+RRRR+++LLRRLLRRRRRR+LLRRLR++LLRLR+++RRL+L+L++LL+L+L+RLL+R+LLRRR+LLRRLLLLRLR+R+L+++LR+LLL+R+LL++++LRL+++RRL+RRLLLR+R+R++L+LLRR+++++L++RRL++R+RRL+++LL+++++RRR+RL+LLL+RLLRRRRR+LLLLRRLRRL+LR+LLRRLL+LLRLRRL+LRRLR+L+R+RLRR+RRLLR+LLR+R+LLRR+L+LL+
++++++RRL+LLLR+L++L++RRRRRR+RLL+++++LR++RL+LLR++RR++RRRRLL+L++LRRL+RR+R+LL++LL+LLLRLRLRRRLL+++++++++++R+L++R+RRLLLRLLR+R+R++LR+L+LL+++LR+L+RLLL+RRR+RLR++R+L++R+L+L++LRL++L+LRR+++LRLL+RRRR+R+R++LLRLRR+RL+LLLL++L++RRL++R+RLR++LRRLRLL+LR++LRLL+LR++++RLRL+L+R+LLLR+L+RLLLL++++++++LR+L
LR+RRRLR+L+LRLRLLRRRRLLLR+L+R+RL+RRR+LLRLLR+LL+LL++LRR+RL+RRLL+++++LL+LLL++RLR+R+LRLRR+L+LRLLLLRRL+++RLLRRRLLRR++LRLLRR++LR+LLLRLRL+RRLL++RRLL+LRRR+LLLLLLLRLL+R+R+LLRLL++++LLRRRLRLLL+R+++RL++++RR+++L+LLRRRL+LL+LRRLR+R+R++RR++LRLR+LLLRRR+LL+RR+LR++LRLLRLRL+LRLLRLLRRRR+RRLLL+++++RL
++R+R+LR+++LLLLRL+L+RL+L++++R+RRL+++RRL+++L+RLRRLR+L++++LR+LR+LLLR+LLLRLR+LRL+L++R+LRL++LLLRL+R+L+R+LRRLRLRRL+LR+RRR++LR+RLL++L+RL+LR+L+LLRL+++RL+LRR++RLLL++++RR+RR+LL++++R+RRL++RLRR+L+LLRRRL+RRL+RLR++++RRLLR+++RRRRRL+L+LLRLRL++RR+RR++LRL+R+R+LRRR++LLL++LLRLR+L+++R+L++LLRR+RR+++L
R+LRRLR+LLLRRRR++RRLRLR+++RLRLRLR+RLRRLLLLLR+R+LR+R++RLR++LRL+RRLLLRL+LRL+RLRLRLL+LLLL+LRL+LLL++LL++RLLRLLR+RL+LL+R+RR+LLLR++L+LLR++RLL+LRLLLL+LRR+LRL++LL+++L++RRRRL+L++++++++LRLRLR+R+RLL+LL+LL+RLRL+RLLRLRRL+RLR++RLRR+LLRRLRRRLLLRLR+L+R+R+RR+R++LLRR+L+R++LLLL+L+RRR+++RRRRR++++LLR
+LRRLL+++LRLRLLR+L++LRRLLRLRRL+RR+RRL+LRR+RRRRL+RRRRRRRLLLR+LLLLRRLLL+RRL++LR+RRRR+L+LLRRL++++++RLL+R+RLL++LRLLLRRR+++++RRLLLLL+RL+RR++RR+LLRRLLLR+L++LR+++++++RRRLRRLL+RLLLLRRRRR++L+R++RLRLR+R++RRL+R+RL++++R+LLR+R+LL+RRRRRR+++RLL+RRL+RRRR++R+LR+++R+RRRLLL++LLRRRL++LR++++LLRL+R+R+
RLRR+R+RR+RR+L+L++RL+LL++R++LLRRL+R+L++RRL++RL+LLRRL+LRR+RL++RLLLRLRLLRRRLLLLLRR+++RLRL+R++LRR+R+++RLR+RLL+RR+L+++LLRLR++LL+RRR+RR+L+R+LL+LL++RR+++LL+R++LLRLRL+RRR+RL+RLR+++R+RL+L+RRLLLR+LRLRRLRLR+RLLRRR+LLL+RL+R+LL+RL++LRRL++RRRLR+LRR++L+L+LL+R+RR+RR+LLLLRRRRLLRLR+++LRRLRR++LLRR
LR+L+++L++R+++++++LR++RL+RRLLLL+R+R+LL++RLR+LRRLRR++RR++RR+L+++++R+RLRL+RLRRL+RLRRL+RR+++L+LRLRRL++L++LLLL++RL+RLLLLRRRLLL+LL++R+R+RL+RR+++LR+L+RL+++L+LLR+RRLL+RLR+RLL+LR+LLR+RLRRL+LLLRLLR+++R+++LLRLRLRLRRL+RL+RR+RLLRRL+LR+L++LR++LLLRLRRR+LLRRR+++L+LRLRL++RLLLL++RR+LRRRL+LL+L++R+
RL+RL+RLL+R+LRLLL+RR++L+R+RLL+R++LRRLRRLLLR+RL+RLLL++L+L+L++++R++RLR+RRRL+LLR++L+++R+LR+RLLL+RRR++RLRL++RLRR+L+LRR+LL+L+L+RRRR++LLLL+RRR+RLRR+LLLLRL+RL+L++RLL++R+RLRR+L+RRLLR+++LRRL+++RRL+LR+R+RL+LRRR++++LLLRRR+LL+L++RR+R+RRRRR+LL+RRL+LLRR+RLLRRL+RL+RR+++L+++LR+RRL++L+LLLLRLL++++
+R+L+RLR+R++LR+LRRRRLRR++RL+LL++L++R++RL++RR+RL+RR+RLR+RRRRRR+LRRLLRRRL+R+LLLRL++RRL+R++RRLL+RLL++++RR+LR++RL+L+RR+R+RLL+RRL++LRL++LR++L+RR+L+LR++RRL+RL++LRLR+L++L+L+LRRRL+LL++RRR++LL+RL+R+L+RLRLRLL+++++R++L+++LR+LRLR+++++RLLLLRLL+LRR+LR+RR+LL++RLL+L+RLR+L+LRLLLLLRRR+RLLR+++RRLL+
+L+L++LRRLRRRLRLLL+LLLLL+RRL+RLRR+++++++++++RRLLR+++L+LR+LRLLLLL+LRL+LLLL+LLRRR++L+LLRLRLR+L+R+RR+RR+LLRR++RLLLLLR+RLR+LLR++R++R+LR+++R+L+LR++R+++RL+R++LRL+L+R+RLRL+R+R+LL+LRLRL+LLRR+LL+RLR+RLLR+RLR+R++L+R+LR+++++R+L+RRLRRL+LL+L+R++LRL+RR++LLRLR++++RRRRRRR+L+++RL++R+++L+LLL+L++RL
++R+RLRR+++RR+LLL+L+RRLR+RRR++R+L+L+RRR+RR+++LR+RRRL+++L++L++++LLLLRRRRRRRR+LLLLRLLLR+R+R+LLLL+R+LLRR+LLL+++RRRRLR++LL+++RR+RRL+++RR+LLLLLLR+L++LLR++RL+LLRRLLLLRR+LRR+++++RRRLRR+RR+LRRLL+RR++++R+RLR++RRLR+RRRLRL+++RRRRRL+R+++LRL+++L+L+++RL+R++RR+++RLLL++R+R+R+L+RR+LL+LR++++L++RRR
RLLL+RLLLLRRRR+LRRL+LLLR++RRR++RLLR+LLLLRRRLLRRR+RRRR+R++R+L++RL+L++R+RRRL+L+RRRR+LRRRR++LLLLRR+LRR+R++R++RR+RR+R++LRL++R++R+L+LL+RLRRLR++RRLRR+RRRRRL+RLR+R+LR+LLLR+RLLRRLR+RLLRRRR+LL+RR+RR+L+R+++LRLLRRR+LLR++++R+L+RLLL+RLLRL+R+LRRRRLRRLLL+R+L+L+LRRRLL++LLL+++RRRR+RR++LL+RLLRLRRL
+LL+RLR+R+++LRLR++LLLRRLL+L+LRL+L+LLRLLR+LL+++LRLLL+R+LRRRR+R+RRLL+L+L++LLRRL+R+LLR+RLL+L+++++LRRR+R+LL+RRR+RLL+L+RLRR+RRR+LR+LLRLR+L+RRLRRRRR+LL+L++RRRLL+RRL+R+++LLRRR+RRR+L+RLRLRRLRRRRL+L+LLRR+LL+RLRRRR+RR+RRRLLLLL++RRL+LRRL+L+R++LRRLLRLRR+LLRLLLRRLRRRR++L++RLRL+RLLLR+R++++RLLR
LRR+++++R+++LRLRLLL+LL+R+LL+++L++++L++RLRLL++R+R+++LLLRRRR++RR+RRRRL+++RLR+++++RLLR++L++RLLRL++L+RLRLRR+L+LRLL+RRR+L+LRLRRLRR+L+RRRLR++LL++++LR+L++R+RLL+LRRL+L+RLRRR+LRLR+RL+R+L+++LL++RR+LR+RRLLRRL+R+RL+++LR+RLL++++LR+RLL+RL++RLRR+LLRRRLLLL+L+R+R+LLRL++RR+LLL++R+L++LLRR+R++RLL++R
LL+LR++R++L+R+L+L+RRLR+LL+LR+R+L++LLRR+L+++LL+L+RLR+LLL+RLRLRR+R+LLL+RRL+LLRR+L+RLLRLLLL++LRRRRRLR+R+++RRL++LLLRRRR+RR+RLL+RL+L+LLL++RRR+RL+RRR++LLRRR+LL+R+L+R+R++R+++LLR+RLRLR++++LLLLRR+LLLLRR++L+L+RRRRLR+R+LRRRL+RL++RL++++LRLLR++LR+LLLL+++LRRR+RRLRLLLLLL++RRRLRRRR+R++RRLL+++L++
++L+++RR+R++++LR+R++R++L+LRR+RL+LL+L+RRR++RR++++L+RRRR+++RLL+RLLR++L++++RLRLR++RRRRLL+LL+LRR++LR++LLLLLRR+LLLRR+LLRR++RRR+LRR+RR++RR+RR+RRL+LR+R+RRRL+LRL++LR+LRL+++LRLR++LLL+RRL+RRLLRLL+RRLR+LLRR+L++LL+LLR++L+++LRLLL+RLLRLL++R+++RRL+L+L+LRRRR+L+LLLRRLR+R+LLLRRR+RRLLRR+RRR+R+LR++R
++LLL+RLL+LL+RL+RL+L+RLL+LLR+RR+++LL+RRLLLLLR+L++R+RR+LLRRRRRLR+R+L+L+LR+RRLLR++RRRLR+RL+LRRL+LRLRLLRL+RRLRRRLLL++RL++L++R+++RLLRLR++RR+L+RR+L++RLRLRL++L+RLR++RRRR+LRL+++LLLLL+RL+R+LR+LRRL+L+++RLLLRR+R+RLRLLLLL+R+L++RR+LL+R+LLRLR+LLR+LLRR+RLRLRL+RR+R+LLRRL+RLL+LR++L++L+L+R+R++RR+
LLLLRR+++L+LRLRR+L+RLR+LRRLRL+LLR+RLR+LRL++R++LR++++R+RLRRLRR+L+++RRRLL+R+L+L+RLL+LR++R+L+RRLLLLRRRRRRLR+L+RR++RLRR+R++LLRLRLR+R+RRRLRRR++L+RRRL+L+RRLL+LRLRLRR+L+RL+++LRLRL+LR+LLLL+LLL+LRR+++++LRL++LL+R+LRL++++R++RLLLLLL+RL++R++RRL++R+RR+RRLLRL++RRLR+L+L++RR+++RRRL+RL+RL+RLRLLR++
RLRLLRR++LLLRL+RLRLRLRLRR++++RLLRLRLLL+RL+RR++L+RRLRLLL++RLRR+RRRL+RR+LLLR+LLLL+R+L+R+R+RL+LRRL+R+LR+LRL+++RL++++LRLLRLLLRRLLLRR++RR+R+RR+LLRR+LRLR+L++LRLLR+RLLL++L++LLRRR++R+RRRLL+++LR+RL+LLRLL++RL+LR+R++R+++RR++LL++RR+++LR++RLL+L++LL+RRR+RL+R+RRLRRRLRLRL+LR+L+LLLR+L+L+RLRLRR+LR
++LRRRRR+L+RR+RRR+RLR+LRLRR+R++RLL++LLRLLLRLRR+RR++L++RL+R+LLR+L+LRRRL++LRRR++RLR+++R++++L++RL++R+L+RRRRL++L++LRL+RLRLLR+RRRLR+LRLRRLR+LRLL++RL+++RR+R+RLRL+LL+R+RLL+L+LR+R+LR+++R+LRLL+RLL+LL+L++RRRR+R+LRR+LRR++RLLRLLRL+RRL++++++R++R+L++RLRRRL+LRLLLRLRR++RRLL+RL+R+RL+RRRLRRL+R+LRR
LLRLR++L+R++RRLR+LLLLLL++L+RLLLLRL+LL+RRLRR++++R+RRRRRRLL+RLRLLRRLLR+RR+LR+LRRL+LRRL+LRRR+RLRR+R++R++RRRRR++L+LRR+RL+RLL+LL++RLRL+LLR+L+RR+L+RLRLL+L++RLR+R++R+RRL+RRRRL+RL++RLLLRLLRLRR+RRR+LL++RRLLLLR+R+LRL+R++++R+L++RR+L+RR+R+LLL++RL+RLRR+LL++R++RL+LLLRRLRLL+LL+R+RR+RL+L+R+L+RL+
L++RLRL+RRL+LL++RRLLL+++LR++R+++LRR++RRL+R+R+L+R+RRLR+RLR+RL+RLRRLLLLR+LR+++RRL+R++RLLRRLLLLRRL+++RRLLL++RL+RRLLRLLRR+LLR+L+LRRR+RL+++L+R+L+R+L+LL+LRLR++L+LLL++LLLRR+R+L++LRL++RLR+L+R++LR+RR+RL++++RLL++RLRLL++LL++++++RR+RLRRLLRL++L+LLLR+RRLRLL++L+LL+RR++R+R+LRR+L++L+LRLLLR++LRLRL
+R+LLR+RL+R+LRLLRLR+R++LR+L+RRR++L++L+L+LR+RR++RRRRL++LRRRL+LLL+R++RRLRRR+LR++LLLRL+LLR++RLL+LRRRRLL+++LRLR+L+RRL+R+R+RRRR+RRL++RLLR+L++LRRLLLRL+LRR+R++RL+L+LRRLLL+LL+L++LLLR+RLRRRR+L+LLLLLLRLLLRR++RLR+LL+LLR++++++RLLLRRRLRRRLRRL+L+LL+L++LL+LLRL+LR+R++LR+LR+LR+L+R+RRL+LLLR++LL+R+
+RLR++++RRL+RRLLR+++LRRRL+LLR++LR+LL+LRRLRLR++R+LLL+LRRR+++LLR+RRR+L+RRL+R+LLL+R+LLRRRRLR+++L++L++++L+++++R++RR+R+LL++L++LLL++LLLRLRRRRLRRR+++R++LRL+RLLR+RRLRLRLRRLLR+++R++RLL+RRRRLRR++L+R+L++R++++L++++LR+LLLL+RLLL+L+RLLLL+LLLL+L+L++RRL++L++R+LL+LRLLLRRLRR+LRR+LRL+RRLL++R+RRLL+RR
RLR+LLR++L+RL++L++RRLL+LL++LLRLRRL++L+L+RR+L+RRR+LL+L++LLRL+RR++L+LL+L++LRL+R+++LRRR++++++L+LR+LRRR+L+++RR+RLR+++RL+R++LLLRLLL+RLR+L+R+LLRL+LRLRRRLRL+RLRLLRRRL+RRL+RLL+LR+LRLLL++LRLRLRLLL+RRRRRL++R+LLRLRRL+LLLRRR++LL++++LRRLL+RRR+R+L+LRL++R++L++L+LLRL+RLR++++R+RRRLL+RR+RRL+LR+RR+
RRR++RL+LLLL++L++LRLRR+L+L+LRR+RLL+LL++LRRLLRRLLLRL+L+LRRR++L+LL+LLR+RRR+RRL+RRL+LR+R+L++RRLRR+RLR+R+L+++LRL++LR+RLRLLRR+RLLLRLLLLRRLR++LL++++RR+R+++RR+RLLLRRLR+LRRRRLLR+LR++RRL+LLRRLLLL++L+LL++LLL+R+LLLRLLR+RRRL+LLL+L+RR+L+LR+L+RLL+++LRRRLLL+++RLL++++++RLL+LL+LRRLL+RRLLLR+RRRLLL
++LLLRR+RRRLLRLR++RLLLLL++RLLLLR+LRLR+R+LRL+LLRLLL+L+LR+RL+LRR+LRR+R+LRL+LRLLR+RLLL+RR+RRLRLLL+L+++R+L+LLLRLLLL+RRL++R+RLR++RRLLLRL+L++LR+RRLLLRRL++LLLRRR+L+RRLLLL+RRR+LL++LRLR+L+LRLRLR+LL+R++RLR+LLRL++RRR+LRLRR+RLRL+LLL+LRRL++++RL++R+LLRRL+++LL+LLRL+RRLRLLLRRRRRRRRL+RRR+L+R++R+L
RR+R+L+RRL+R++++RR+L++RRR+L++RR+RRL+++RR+RRRL+RR+++++L+LRLRR+RLLR+RL+LLL+RR+L+LRRR+LRRRR+LR+R++L+L+R+L+R++LL+R+RLL+LL+L++++LRLLLR+LL+L+RRRRL++RR+RRRLRLR+R+R+RLRRLLR+L++LRRL+++LLLRR++RR+LR++L++L+LR+LLR+++LRLRLLLLLLL+LRRR+R+RLL+LRRLLLRRRR+RLLRLL+R+LRL++LLRR+L++RR++RLLRLRRRL+RRRRRRR
+++L++LR+++LR+R++R+RLR+RR++RL+RLL+RLR++LRRRLLRR+++L+RR+R++LRRL+R+LRLLRR+LR+R+RL++LRR+L++RL+L+R+RLRR+RLRRLRR+LLLL+LRLRR+LLL+LLR+LLRR++RL+RR+LRR+RL+RLR+LLLRR++RLL+++RRRRR+RRLLRRL+L+RLLRRLRRRR+RLRR+LLR++RR+R+RLRL+R+LR+++++LLLL+RRRRL+L+L+++LR+RLLL+LRRR+RR+R++LRLLR+R++RLLLLLRR+++RLRRL
LLRRR+LLL+R++L+RLR++RRRRRL++LRR++++LR+++LRLRLLRLRR+LR+++LLR+R++RRRLRLLLRL++LLR+RRRLLLRR+R+LLLRR+RLRL+RLL+LRR++LL+RR+++LL+R+RLRLLLRR+LRLRR++LL++LR+RRL++RLRRLRRLLRRLRRLRR+RLRL+LL+RLLRLL+L+LRL+LLLLLLRRRLL++RRRLRLLL+LL++RRLR+LLRR+R+LRR+L+RL++R+L+++L+++LRLL+RLRLR+LLLRRL+RRLR+++R+LRRL+
