class Mo include Enumerable(Tuple(Int32, Int32, Int32)) def initialize(@n : Int32, @bucket_size : Int32) @bucket = Array(Array(Int32)).new((@n + @bucket_size - 1) // @bucket_size) { [] of Int32 } @qs = Array(Tuple(Int32, Int32)).new end def add_query(l : Int32, r : Int32) @bucket[l // @bucket_size] << @qs.size @qs << {l, r} end def build @bucket.size.times do |i| @bucket[i].sort_by! { |qi| @qs[qi][1] } if i % 2 != 0 @bucket[i].reverse! end end end def each @bucket.each do |b| b.each do |qi| yield ({@qs[qi][0], @qs[qi][1], qi}) end end end end class BIT(T) # 1-indexed def initialize(size : Int) len = 1 while len < size len *= 2 end @v = Array(T).new(len + 1, T.zero) end def cumulative_sum(index : Int) ret = T.zero while index > 0 ret += @v[index] index &= index - 1 end ret end def sum(l : Int, r : Int) cumulative_sum(r) - cumulative_sum(l - 1) end def add(index : Int, val : T) while index < @v.size @v[index] += val index += (index & -index) end end def set(index : Int, val : T) old = sum(index, index) add(index, val - old) end end n, q = read_line.split.map(&.to_i) a = read_line.split.map(&.to_i64) b = read_line.split.map(&.to_i64) mo = Mo.new(n, 140) q.times do l, d, r, u = read_line.split.map(&.to_i) mo.add_query(l - 1, d - 1) mo.add_query(r, u) mo.add_query(l - 1, u) mo.add_query(r, d - 1) end mo.build ans = Array.new(q, 0i64) cnt_row = BIT(Int32).new(100001) cnt_col = BIT(Int32).new(100001) sum_row = BIT(Int64).new(100001) sum_col = BIT(Int64).new(100001) sum = 0i64 cl = 0 cr = 0 mo.each do |nl, nr, qi| # expand while cr < nr sum += b[cr] * cnt_col.cumulative_sum(b[cr] - 1) sum += sum_col.sum(b[cr], 100000) cnt_row.add(b[cr], 1) sum_row.add(b[cr], b[cr]) cr += 1 end while cl < nl sum += a[cl] * cnt_row.cumulative_sum(a[cl] - 1) sum += sum_row.sum(a[cl], 100000) cnt_col.add(a[cl], 1) sum_col.add(a[cl], a[cl]) cl += 1 end # shrink while cr > nr cr -= 1 sum -= b[cr] * cnt_col.cumulative_sum(b[cr] - 1) sum -= sum_col.sum(b[cr], 100000) cnt_row.add(b[cr], -1) sum_row.add(b[cr], -b[cr]) end while cl > nl cl -= 1 sum -= a[cl] * cnt_row.cumulative_sum(a[cl] - 1) sum -= sum_row.sum(a[cl], 100000) cnt_col.add(a[cl], -1) sum_col.add(a[cl], -a[cl]) end ans[qi // 4] += sum * (qi % 4 < 2 ? 1 : -1) end puts ans.join("\n")