import std.stdio, std.conv, std.string, std.bigint; import std.math, std.random, std.datetime; import std.array, std.range, std.algorithm, std.container; string read(){ static string[] ss; while(!ss.length) ss = readln.chomp.split; string res = ss[0]; ss.popFront; return res; } void main(){ int n = read.to!int; int m = read.to!int; long[131][131] ass; foreach(i; 1 .. m + 1) foreach(j; 1 .. m + 1) ass[i][j] = read.to!long; int[2][] xs; foreach(j; 0 .. n) xs ~= [read.to!int, read.to!int]; // 左端と上端は番兵0 // そこを四隅とする和がゼロの矩形が何個あるか int[131][131] ltCount; int[131][131] rtCount; int[131][131] lbCount; int[131][131] rbCount; // 左端からそこまでの(行内での)和 long[131][131] rowsum; foreach(i; 0 .. m + 1){ rowsum[i][0] = ass[i][0]; foreach(j; 1 .. m + 1) rowsum[i][j] = rowsum[i][j - 1] + ass[i][j]; } debug "rowsum".writeln, rowsum.dump(m); // 左上隅からそこまでの(矩形の)和 long[131][131] rectsum; foreach(j; 0 .. m + 1){ rectsum[0][j] = rowsum[0][j]; foreach(i; 1 .. m + 1) rectsum[i][j] = rectsum[i - 1][j] + rowsum[i][j]; } debug "rectsum".writeln, rectsum.dump(m); // ゼロ矩形の四隅を検出する // それは、rectsum[i1 - 1][j1 - 1] - rectsum[i1 - 1][j2] == rectsum[i2][j1 - 1] - rectsum[i2][j2] // であるような (i1, j1), (i2, j2), (i1, j1), (i2, j2) foreach(j1; 1 .. m + 1) foreach(j2; j1 .. m + 1){ int[][long] dic; foreach(i2; 0 .. m + 1){ long d = rectsum[i2][j1 - 1] - rectsum[i2][j2]; if(d in dic) foreach(i; dic[d]){ ltCount[i + 1][j1] += 1, rtCount[i + 1][j2] += 1; lbCount[i2][j1] += 1, rbCount[i2][j2] += 1; debug writeln("(", i + 1, ", ", j1, ")-(", i2, ", ", j2, "), ", d); } dic[d] ~= i2; } } debug "ltCount".writeln, ltCount.dump(m); debug "rtCount".writeln, rtCount.dump(m); debug "lbCount".writeln, lbCount.dump(m); debug "rbCount".writeln, rbCount.dump(m); // そこを上辺、下辺とするゼロ矩形が何個あるか int[131][131] topCount; int[131][131] botCount; foreach(i; 1 .. m + 1){ topCount[i][1] = ltCount[i][1]; botCount[i][1] = lbCount[i][1]; foreach(j; 2 .. m + 1){ topCount[i][j] = topCount[i][j - 1] - rtCount[i][j - 1] + ltCount[i][j]; botCount[i][j] = botCount[i][j - 1] - rbCount[i][j - 1] + lbCount[i][j]; } } debug "topCount".writeln, topCount.dump(m); debug "botCount".writeln, botCount.dump(m); // そこを含むゼロ矩形が何個あるか int[131][131] answer; foreach(j; 1 .. m + 1){ answer[1][j] = topCount[1][j]; foreach(i; 2 .. m + 1){ answer[i][j] = answer[i - 1][j] - botCount[i - 1][j] + topCount[i][j]; } } debug "answer".writeln, answer.dump(m); // 出力 foreach(x; xs) answer[x[0]][x[1]].writeln; } void dump(int[131][131] A, int m){ foreach(r; A[0 .. m + 1]) r[0 .. m + 1].writeln; } void dump(long[131][131] A, int m){ foreach(r; A[0 .. m + 1]) r[0 .. m + 1].writeln; }