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ruby -we '@a = (0 .. 10).map { (0 .. 667).map { (0 .. 101).map { (); }
+; }; }; def res c = 10, t = 667, m = 101; c * m - t < t and t = c * m
+ - t; if t < 0; 0; else @a[c][t][m] ||= if 0 == c && 0 == t; 1; elsif
+ 0 == c; 0; elsif 0 == t; 0; else (1 ... m).inject(0) {|r, x| r + res
+(c - 1, t - x, x); } end; end; end; (1 .. 10).each {|c| res c; warn "
+[c=#{c}]"; }; p res;'

ruby -we '@a = (0 .. 10).map { (0 .. 667).map { (0 .. 101).map { (); }
+; }; }; def res c = 10, t = 667, m = 101; c * m - t < t and t = c * m
+ - t; if t < 0; 0; else @a[c][t][m] ||= if 0 == c && 0 == t; 1; elsif
+ 0 == c; 0; elsif 0 == t; 0; else (1 ... m).inject(0) {|r, x| r + res
+(c - 1, t - x, x); } end; end; end; p res;'

ruby -we '@tri = (0 .. 10).map {|c| c * (c + 1) / 2; }; @a = [[Array.n
+ew(101, 1)] + [Array.new(101, 0)] * 400] + (1 .. 10).map { (0 .. 400)
+.map { Array.new(101); }; }; def res c = 10, t = 667, m = 101; (t2 = 
+c * m - t) < t and t = t2; if t < @tri[c]; 0; else @a[c][t][m] ||= (1
+ ... m).inject(0) {|r, x| r + res(c - 1, t - x, x); } end; end; puts 
+r = res; r == 14479062752 or fail;'

ruby -we '@tri = (0 .. 10).map {|c| c * (c + 1) / 2; }; @a = [[Array.n
+ew(101, 1)] + [Array.new(101, 0)] * 400] + (1 .. 10).map { (0 .. 400)
+.map { Array.new(101); }; }; def res c = 10, t = 667, m = 101; (t2 = 
+c * m - t) < t and t = t2; if t < @tri[c]; 0; else @a[c][t][m] ||= (g
+ = @tri[c - 1]; ((t + g)/c .. [m - 1, t - g].min)).inject(0) {|r, x| 
+r + res(c - 1, t - x, x); } end; end; puts r = res; r == 14479062752 
+or fail;'

ruby -we '@tri = (0 .. 10).map {|c| c * (c + 1) / 2; }; @a = (0 .. 10)
+.map { (0 .. 400).map { Array.new(101); }; }; def res c = 10, t = 667
+, m = 101; (t2 = c * m - t) < t and t = t2; if t <= 0; if t == 0 && c
+ == 0; 1 else 0 end; else @a[c][t][m] ||= (g = @tri[c - 1]; ((t + g)/
+c .. [m - 1, t - g].min)).inject(0) {|r, x| r + res(c - 1, t - x, x);
+ } end; end; puts r = res; r == 14479062752 or fail;'