counting-by-Dyck-path-7-chord.nb

k = 0;
Clear[t1, t2, t3, t4, t5, t6, Pairs, Dyck, probe];
p = 7;
twop = 2 p;
Dyck = ConstantArray[0, {(twop - 1)!!, twop}];
probe = ConstantArray[0, {(twop - 1)!!, p, twop}];
at = ConstantArray[0, twop];
at[[1]] = 1;
For[l1 = 2, l1 < twop + 1, l1++,
  at[[l1]] = 1;
      t1[1, l1] = {1, l1};
  If[l1 == 2, l2 = 3, l2 = 2];
  at[[l2]] = 1;
      For [l3 = l2 + 1, l3 < twop + 1, l3++,
       If [l3 != l1,
     at[[l3]] = 1;
           t2[l2, l3] = {l2, l3};
     it = 0;
     at[[l1]] = 1; at[[l2]] = 1; at[[l3]] = 1;
     For  [kt = 1, kt < twop + 1, kt++,
      If [it == 0, l4 = kt];
      If[at[[kt]] == 0, it = 1];
      ];
     at[[l4]] = 1;
     For [l5 = l4 + 1, l5 < twop + 1, l5++,
          If [l5 != l1 && l5 != l2 && l5 != l3,
              t3[l4, l5] = {l4, l5};
        at[[l1]] = 1; at[[l2]] = 1; at[[l3]] = 1; at[[l4]] = 1; 
        at[[l5]] = 1;
        it = 0;
        (**Print[at[[1]],at[[2]],at[[3]],at[[4]],at[[5]],at[[6]],at[[
        7]]];**)
        For  [kt = 1, kt < twop + 1, kt++,
         If [it == 0, l6 = kt];
         If[at[[kt]] == 0, it = 1];
         ];
        at[[l6]] = 1;
        For [l7 = l6 + 1, l7 < twop + 1, l7++,
             
         If [l7 != l1 && l7 != l2 && l7 != l3 && l7 != l4 && 
            l7 != l5,
                 t4[l6, l7] = {l6, l7};
           at[[l1]] = 1; at[[l2]] = 1; at[[l3]] = 1; at[[l4]] = 1; 
           at[[l5]] = 1; at[[l6]] = 1; at[[l7]] = 1;
           it = 0;
           For  [kt = 1, kt < twop + 1, kt++,
            If [it == 0, l8 = kt];
            If[at[[kt]] == 0, it = 1];
            ];
           at[[l8]] = 1;
           For [l9 = l8 + 1, l9 < twop + 1, l9++,
                
            If [l9 != l1 && l9 != l2 && l9 != l3 && l9 != l4 && 
               l9 != l5 && l9 != l6 && l9 != l7,
                    t5[l8, l9] = {l8, l9};
              at[[l1]] = 1; at[[l2]] = 1; at[[l3]] = 1; at[[l4]] = 1; 
              at[[l5]] = 1; at[[l6]] = 1; at[[l7]] = 1; at[[l8]] = 1; 
              at[[l9]] = 1;
              it = 0;
              For  [kt = 1, kt < twop + 1, kt++,
               If [it == 0, l10 = kt];
               If[at[[kt]] == 0, it = 1];
               ];
              at[[l10]] = 1;
              For [l11 = l10 + 1, l11 < twop + 1, l11++,
                
               If [l11 != l1 && l11 != l2 && l11 != l3 && l11 != l4 &&
                   l11 != l5 && l11 != l6 && l11 != l7 && l11 != l8 &&
                   l11 != l9,
                       t6[l10, l11] = {l10, l11};
                 at[[l1]] = 1; at[[l2]] = 1; at[[l3]] = 1; 
                 at[[l4]] = 1; at[[l5]] = 1; at[[l6]] = 1; 
                 at[[l7]] = 1; at[[l8]] = 1; at[[l9]] = 1; 
                 at[[l10]] = 1; at[[l11]] = 1;
                 it = 0;
                 For  [kt = 1, kt < twop + 1, kt++,
                  If [it == 0, l12 = kt];
                  If[at[[kt]] == 0, it = 1];
                  ];
                 at[[l12]] = 1;
                 For [l13 = l12 + 1, l13 < twop + 1, l13++,
                   
                  If [l13 != l1 && l13 != l2 && l13 != l3 && 
                    l13 != l4 && l13 != l5 && l13 != l6 && l13 != l7 &&
                     l13 != l8 && l13 != l9 && l13 != l10 && 
                    l13 != l11,
                          t7[l12, l13] = {l12, l13};
                    k = k + 1;
                    (**Print[" k = ",k,"  ", l1,l2,l3,l4,l5,l6,l7];**)

                                        
                    Pairs[k] = {t1[1, l1], t2[l2, l3], t3[l4, l5], 
                    t4[l6, l7], t5[l8, l9],  t6[l10, l11], 
                    t7[l12, l13]};
                    For[i = 1, i < twop + 1, i++,
                    dktemp = 0;
                    For[j = 1, j < p + 1, j++,
                    
                    If[Pairs[k][[j]][[1]] <= i < Pairs[k][[j]][[2]], 
                    dktemp = dktemp + 1];
                    
                    If[Pairs[k][[j]][[1]] <= i < Pairs[k][[j]][[2]], 
                    probe[[k, j, i]] = 1];
                    ];
                    Dyck[[k, i]] = dktemp;
                    ];
                    For[i = 1, i < twop + 1, i++,
                    dktemp = 0;
                    For[j = 1, j < p + 1, j++,
                    
                    If[Pairs[k][[j]][[1]] <= i < Pairs[k][[j]][[2]], 
                    dktemp = dktemp + 1];
                    ];
                    Dyck[[k, i]] = dktemp;
                    ];
                    at = ConstantArray[0, twop]; at[[1]] = 1;
                    ];];];];];];];];];];];];];
k
(twop - 1)!!
possiblePaths = DeleteDuplicates[Dyck];
Length[possiblePaths]
Binomial[twop, p]/(p + 1)

135135

135135

429

429

adj = ConstantArray[0, {(twop - 1)!!, p, p}];(*adjacency matrix*)

edgeAndtriangle = 
  ConstantArray[
   0, {(twop - 1)!!, 1, 2}];(*list of {# of edges, # of triangles}*)

For[c = 1, c < (twop - 1)!! + 1, c++,
  For[i = 1, i < p + 1, i++,
   For[j = i + 1, j < p + 1, j++,
     crossingtemp = 0;
     temp1 = Pairs[c][[i]][[2]];
     temp2 = Pairs[c][[j]][[1]];
     temp3 = Pairs[c][[j]][[2]];
     If[temp1 > temp2, crossingtemp = crossingtemp + 1];
     If[temp1 > temp3, crossingtemp = crossingtemp + 1];
     crossingtemp = Mod[crossingtemp, 2];
     adj[[c, i, j]] = crossingtemp;
     ];];
  adj[[c]] = adj[[c]] + Transpose[adj[[c]]];
  edgeAndtriangle[[c]] = {1/2 Tr[adj[[c]].adj[[c]]], 
    1/6 Tr[adj[[c]].adj[[c]].adj[[c]]]}; ];

upMovingSumAllPaths = 0;
downMovingSumAllPaths = 0;
gradedTotSumAllPaths = 0;
trianglecountAllPaths = 0;
edgecountAllPaths = 0;
gradededgecountAllPaths = 0;
For[m = 1, m < Length[possiblePaths] + 1, m++,
  pathnumbers = ConstantArray[0, twop];
  trianglecount = 0;
  edgecount = 0;
  gradedPathnumbers = ConstantArray[0, twop];
  gradededgecount = 0;
  upMovingSum = 0;
  downMovingSum = 0;
  gradedTotSum = 0;
  For[k = 1, k < (twop - 1)!! + 1, k++,
   If[Dyck[[k]] == possiblePaths[[m]],
     For[i = 1, i < twop + 1, i++,
      pathnumbers[[i]] = 
       pathnumbers[[i]] + 
        1/2 ({probe[[k, All, i]]}.adj[[
             k]].Transpose[{probe[[k, All, i]]}])[[1, 1]];
      gradedPathnumbers[[i]] = 
       gradedPathnumbers[[
         i]] + (-1)^(({probe[[k, All, 
                 i]]}.Transpose[{probe[[k, All, i]]}])[[1, 1]] + 
            edgeAndtriangle[[k, 1]])*1/
         2 ({probe[[k, All, i]]}.adj[[
             k]].Transpose[{probe[[k, All, i]]}])[[1, 1]];];
     trianglecount = trianglecount + edgeAndtriangle[[k]][[2]];
     edgecount = edgecount + edgeAndtriangle[[k]][[1]];
     gradededgecount = 
      gradededgecount + (-1)^(edgeAndtriangle[[k, 1]])*
        edgeAndtriangle[[k, 1]];
     ];];
  For[i = 1, i < twop, i++,
   If[possiblePaths[[m, i]] < possiblePaths[[m, i + 1]], 
     upMovingSum = upMovingSum + pathnumbers[[i + 1]], 
     downMovingSum = downMovingSum + pathnumbers[[i + 1]]]
    ;];
  gradedTotSum = Sum[gradedPathnumbers[[i]], {i, 1, twop}];
  upMovingSumAllPaths = upMovingSumAllPaths + upMovingSum;
  downMovingSumAllPaths = downMovingSumAllPaths + downMovingSum;
  gradedTotSumAllPaths = gradedTotSumAllPaths + gradedTotSum;
  trianglecountAllPaths = trianglecountAllPaths + trianglecount;
  edgecountAllPaths = edgecountAllPaths + edgecount;
  gradededgecountAllPaths = 
   gradededgecountAllPaths + gradededgecount;
  (*Print["DyckPath","(",m,")","=",possiblePaths[[m]]]
  Print["PathNumbers","(",m,")","=",pathnumbers]
  Print["EdgeCount","(",m,")","=",edgecount]
  Print["TriangleCount","(",m,")","=",trianglecount]*)
  
  Print["UpMovingSum", "(", m, ")", "=", upMovingSum, " 3T+E=", 
    3 trianglecount + edgecount]
   Print["DownMovingSum", "(", m, ")", "=", downMovingSum, " 3T=", 
    3 trianglecount]
   (*Print["GradedPathNumbers","(",m,")","=",gradedPathnumbers]
   Print["GradedEdgeCount","(",m,")","=",gradededgecount]*)
   
   Print["GradedTotSum", "(", m, ")", "=", gradedTotSum, 
    " GradedEdgeCount=", gradededgecount]
   Print[""]
  ];
Print["UpMovingSumAllPaths=", upMovingSumAllPaths, " 3T+E=", 
 3*trianglecountAllPaths + edgecountAllPaths]
Print["DownMovingSumAllPaths=", downMovingSumAllPaths, " 3T=", 
 3*trianglecountAllPaths]
Print["GradedTotSumAllPaths=", gradedTotSumAllPaths, " \
GradededgecountAllPaths=", gradededgecountAllPaths]

UpMovingSum(1)=0 3T+E=0

DownMovingSum(1)=0 3T=0

GradedTotSum(1)=0 GradedEdgeCount=0



UpMovingSum(2)=1 3T+E=1

DownMovingSum(2)=0 3T=0

GradedTotSum(2)=-1 GradedEdgeCount=-1



UpMovingSum(3)=1 3T+E=1

DownMovingSum(3)=0 3T=0

GradedTotSum(3)=-1 GradedEdgeCount=-1



UpMovingSum(4)=4 3T+E=4

DownMovingSum(4)=0 3T=0

GradedTotSum(4)=0 GradedEdgeCount=0



UpMovingSum(5)=12 3T+E=12

DownMovingSum(5)=3 3T=3

GradedTotSum(5)=-1 GradedEdgeCount=-1



UpMovingSum(6)=1 3T+E=1

DownMovingSum(6)=0 3T=0

GradedTotSum(6)=-1 GradedEdgeCount=-1



UpMovingSum(7)=4 3T+E=4

DownMovingSum(7)=0 3T=0

GradedTotSum(7)=0 GradedEdgeCount=0



UpMovingSum(8)=4 3T+E=4

DownMovingSum(8)=0 3T=0

GradedTotSum(8)=0 GradedEdgeCount=0



UpMovingSum(9)=12 3T+E=12

DownMovingSum(9)=0 3T=0

GradedTotSum(9)=0 GradedEdgeCount=0



UpMovingSum(10)=30 3T+E=30

DownMovingSum(10)=6 3T=6

GradedTotSum(10)=0 GradedEdgeCount=0



UpMovingSum(11)=12 3T+E=12

DownMovingSum(11)=3 3T=3

GradedTotSum(11)=-1 GradedEdgeCount=-1



UpMovingSum(12)=30 3T+E=30

DownMovingSum(12)=6 3T=6

GradedTotSum(12)=0 GradedEdgeCount=0



UpMovingSum(13)=63 3T+E=63

DownMovingSum(13)=18 3T=18

GradedTotSum(13)=-1 GradedEdgeCount=-1



UpMovingSum(14)=120 3T+E=120

DownMovingSum(14)=48 3T=48

GradedTotSum(14)=0 GradedEdgeCount=0



UpMovingSum(15)=1 3T+E=1

DownMovingSum(15)=0 3T=0

GradedTotSum(15)=-1 GradedEdgeCount=-1



UpMovingSum(16)=4 3T+E=4

DownMovingSum(16)=0 3T=0

GradedTotSum(16)=0 GradedEdgeCount=0



UpMovingSum(17)=4 3T+E=4

DownMovingSum(17)=0 3T=0

GradedTotSum(17)=0 GradedEdgeCount=0



UpMovingSum(18)=12 3T+E=12

DownMovingSum(18)=0 3T=0

GradedTotSum(18)=0 GradedEdgeCount=0



UpMovingSum(19)=30 3T+E=30

DownMovingSum(19)=6 3T=6

GradedTotSum(19)=0 GradedEdgeCount=0



UpMovingSum(20)=4 3T+E=4

DownMovingSum(20)=0 3T=0

GradedTotSum(20)=0 GradedEdgeCount=0



UpMovingSum(21)=12 3T+E=12

DownMovingSum(21)=0 3T=0

GradedTotSum(21)=0 GradedEdgeCount=0



UpMovingSum(22)=12 3T+E=12

DownMovingSum(22)=0 3T=0

GradedTotSum(22)=0 GradedEdgeCount=0



UpMovingSum(23)=32 3T+E=32

DownMovingSum(23)=0 3T=0

GradedTotSum(23)=0 GradedEdgeCount=0



UpMovingSum(24)=72 3T+E=72

DownMovingSum(24)=12 3T=12

GradedTotSum(24)=0 GradedEdgeCount=0



UpMovingSum(25)=30 3T+E=30

DownMovingSum(25)=6 3T=6

GradedTotSum(25)=0 GradedEdgeCount=0



UpMovingSum(26)=72 3T+E=72

DownMovingSum(26)=12 3T=12

GradedTotSum(26)=0 GradedEdgeCount=0



UpMovingSum(27)=144 3T+E=144

DownMovingSum(27)=36 3T=36

GradedTotSum(27)=0 GradedEdgeCount=0



UpMovingSum(28)=264 3T+E=264

DownMovingSum(28)=96 3T=96

GradedTotSum(28)=0 GradedEdgeCount=0



UpMovingSum(29)=12 3T+E=12

DownMovingSum(29)=3 3T=3

GradedTotSum(29)=-1 GradedEdgeCount=-1



UpMovingSum(30)=30 3T+E=30

DownMovingSum(30)=6 3T=6

GradedTotSum(30)=0 GradedEdgeCount=0



UpMovingSum(31)=30 3T+E=30

DownMovingSum(31)=6 3T=6

GradedTotSum(31)=0 GradedEdgeCount=0



UpMovingSum(32)=72 3T+E=72

DownMovingSum(32)=12 3T=12

GradedTotSum(32)=0 GradedEdgeCount=0



UpMovingSum(33)=144 3T+E=144

DownMovingSum(33)=36 3T=36

GradedTotSum(33)=0 GradedEdgeCount=0



UpMovingSum(34)=63 3T+E=63

DownMovingSum(34)=18 3T=18

GradedTotSum(34)=-1 GradedEdgeCount=-1



UpMovingSum(35)=144 3T+E=144

DownMovingSum(35)=36 3T=36

GradedTotSum(35)=0 GradedEdgeCount=0



UpMovingSum(36)=270 3T+E=270

DownMovingSum(36)=81 3T=81

GradedTotSum(36)=-1 GradedEdgeCount=-1



UpMovingSum(37)=468 3T+E=468

DownMovingSum(37)=180 3T=180

GradedTotSum(37)=0 GradedEdgeCount=0



UpMovingSum(38)=120 3T+E=120

DownMovingSum(38)=48 3T=48

GradedTotSum(38)=0 GradedEdgeCount=0



UpMovingSum(39)=264 3T+E=264

DownMovingSum(39)=96 3T=96

GradedTotSum(39)=0 GradedEdgeCount=0



UpMovingSum(40)=468 3T+E=468

DownMovingSum(40)=180 3T=180

GradedTotSum(40)=0 GradedEdgeCount=0



UpMovingSum(41)=768 3T+E=768

DownMovingSum(41)=336 3T=336

GradedTotSum(41)=0 GradedEdgeCount=0



UpMovingSum(42)=1200 3T+E=1200

DownMovingSum(42)=600 3T=600

GradedTotSum(42)=0 GradedEdgeCount=0



UpMovingSum(43)=1 3T+E=1

DownMovingSum(43)=0 3T=0

GradedTotSum(43)=-1 GradedEdgeCount=-1



UpMovingSum(44)=4 3T+E=4

DownMovingSum(44)=0 3T=0

GradedTotSum(44)=0 GradedEdgeCount=0



UpMovingSum(45)=4 3T+E=4

DownMovingSum(45)=0 3T=0

GradedTotSum(45)=0 GradedEdgeCount=0



UpMovingSum(46)=12 3T+E=12

DownMovingSum(46)=0 3T=0

GradedTotSum(46)=0 GradedEdgeCount=0



UpMovingSum(47)=30 3T+E=30

DownMovingSum(47)=6 3T=6

GradedTotSum(47)=0 GradedEdgeCount=0



UpMovingSum(48)=4 3T+E=4

DownMovingSum(48)=0 3T=0

GradedTotSum(48)=0 GradedEdgeCount=0



UpMovingSum(49)=12 3T+E=12

DownMovingSum(49)=0 3T=0

GradedTotSum(49)=0 GradedEdgeCount=0



UpMovingSum(50)=12 3T+E=12

DownMovingSum(50)=0 3T=0

GradedTotSum(50)=0 GradedEdgeCount=0



UpMovingSum(51)=32 3T+E=32

DownMovingSum(51)=0 3T=0

GradedTotSum(51)=0 GradedEdgeCount=0



UpMovingSum(52)=72 3T+E=72

DownMovingSum(52)=12 3T=12

GradedTotSum(52)=0 GradedEdgeCount=0



UpMovingSum(53)=30 3T+E=30

DownMovingSum(53)=6 3T=6

GradedTotSum(53)=0 GradedEdgeCount=0



UpMovingSum(54)=72 3T+E=72

DownMovingSum(54)=12 3T=12

GradedTotSum(54)=0 GradedEdgeCount=0



UpMovingSum(55)=144 3T+E=144

DownMovingSum(55)=36 3T=36

GradedTotSum(55)=0 GradedEdgeCount=0



UpMovingSum(56)=264 3T+E=264

DownMovingSum(56)=96 3T=96

GradedTotSum(56)=0 GradedEdgeCount=0



UpMovingSum(57)=4 3T+E=4

DownMovingSum(57)=0 3T=0

GradedTotSum(57)=0 GradedEdgeCount=0



UpMovingSum(58)=12 3T+E=12

DownMovingSum(58)=0 3T=0

GradedTotSum(58)=0 GradedEdgeCount=0



UpMovingSum(59)=12 3T+E=12

DownMovingSum(59)=0 3T=0

GradedTotSum(59)=0 GradedEdgeCount=0



UpMovingSum(60)=32 3T+E=32

DownMovingSum(60)=0 3T=0

GradedTotSum(60)=0 GradedEdgeCount=0



UpMovingSum(61)=72 3T+E=72

DownMovingSum(61)=12 3T=12

GradedTotSum(61)=0 GradedEdgeCount=0



UpMovingSum(62)=12 3T+E=12

DownMovingSum(62)=0 3T=0

GradedTotSum(62)=0 GradedEdgeCount=0



UpMovingSum(63)=32 3T+E=32

DownMovingSum(63)=0 3T=0

GradedTotSum(63)=0 GradedEdgeCount=0



UpMovingSum(64)=32 3T+E=32

DownMovingSum(64)=0 3T=0

GradedTotSum(64)=0 GradedEdgeCount=0



UpMovingSum(65)=80 3T+E=80

DownMovingSum(65)=0 3T=0

GradedTotSum(65)=0 GradedEdgeCount=0



UpMovingSum(66)=168 3T+E=168

DownMovingSum(66)=24 3T=24

GradedTotSum(66)=0 GradedEdgeCount=0



UpMovingSum(67)=72 3T+E=72

DownMovingSum(67)=12 3T=12

GradedTotSum(67)=0 GradedEdgeCount=0



UpMovingSum(68)=168 3T+E=168

DownMovingSum(68)=24 3T=24

GradedTotSum(68)=0 GradedEdgeCount=0



UpMovingSum(69)=324 3T+E=324

DownMovingSum(69)=72 3T=72

GradedTotSum(69)=0 GradedEdgeCount=0



UpMovingSum(70)=576 3T+E=576

DownMovingSum(70)=192 3T=192

GradedTotSum(70)=0 GradedEdgeCount=0



UpMovingSum(71)=30 3T+E=30

DownMovingSum(71)=6 3T=6

GradedTotSum(71)=0 GradedEdgeCount=0



UpMovingSum(72)=72 3T+E=72

DownMovingSum(72)=12 3T=12

GradedTotSum(72)=0 GradedEdgeCount=0



UpMovingSum(73)=72 3T+E=72

DownMovingSum(73)=12 3T=12

GradedTotSum(73)=0 GradedEdgeCount=0



UpMovingSum(74)=168 3T+E=168

DownMovingSum(74)=24 3T=24

GradedTotSum(74)=0 GradedEdgeCount=0



UpMovingSum(75)=324 3T+E=324

DownMovingSum(75)=72 3T=72

GradedTotSum(75)=0 GradedEdgeCount=0



UpMovingSum(76)=144 3T+E=144

DownMovingSum(76)=36 3T=36

GradedTotSum(76)=0 GradedEdgeCount=0



UpMovingSum(77)=324 3T+E=324

DownMovingSum(77)=72 3T=72

GradedTotSum(77)=0 GradedEdgeCount=0



UpMovingSum(78)=594 3T+E=594

DownMovingSum(78)=162 3T=162

GradedTotSum(78)=0 GradedEdgeCount=0



UpMovingSum(79)=1008 3T+E=1008

DownMovingSum(79)=360 3T=360

GradedTotSum(79)=0 GradedEdgeCount=0



UpMovingSum(80)=264 3T+E=264

DownMovingSum(80)=96 3T=96

GradedTotSum(80)=0 GradedEdgeCount=0



UpMovingSum(81)=576 3T+E=576

DownMovingSum(81)=192 3T=192

GradedTotSum(81)=0 GradedEdgeCount=0



UpMovingSum(82)=1008 3T+E=1008

DownMovingSum(82)=360 3T=360

GradedTotSum(82)=0 GradedEdgeCount=0



UpMovingSum(83)=1632 3T+E=1632

DownMovingSum(83)=672 3T=672

GradedTotSum(83)=0 GradedEdgeCount=0



UpMovingSum(84)=2520 3T+E=2520

DownMovingSum(84)=1200 3T=1200

GradedTotSum(84)=0 GradedEdgeCount=0



UpMovingSum(85)=12 3T+E=12

DownMovingSum(85)=3 3T=3

GradedTotSum(85)=-1 GradedEdgeCount=-1



UpMovingSum(86)=30 3T+E=30

DownMovingSum(86)=6 3T=6

GradedTotSum(86)=0 GradedEdgeCount=0



UpMovingSum(87)=30 3T+E=30

DownMovingSum(87)=6 3T=6

GradedTotSum(87)=0 GradedEdgeCount=0



UpMovingSum(88)=72 3T+E=72

DownMovingSum(88)=12 3T=12

GradedTotSum(88)=0 GradedEdgeCount=0



UpMovingSum(89)=144 3T+E=144

DownMovingSum(89)=36 3T=36

GradedTotSum(89)=0 GradedEdgeCount=0



UpMovingSum(90)=30 3T+E=30

DownMovingSum(90)=6 3T=6

GradedTotSum(90)=0 GradedEdgeCount=0



UpMovingSum(91)=72 3T+E=72

DownMovingSum(91)=12 3T=12

GradedTotSum(91)=0 GradedEdgeCount=0



UpMovingSum(92)=72 3T+E=72

DownMovingSum(92)=12 3T=12

GradedTotSum(92)=0 GradedEdgeCount=0



UpMovingSum(93)=168 3T+E=168

DownMovingSum(93)=24 3T=24

GradedTotSum(93)=0 GradedEdgeCount=0



UpMovingSum(94)=324 3T+E=324

DownMovingSum(94)=72 3T=72

GradedTotSum(94)=0 GradedEdgeCount=0



UpMovingSum(95)=144 3T+E=144

DownMovingSum(95)=36 3T=36

GradedTotSum(95)=0 GradedEdgeCount=0



UpMovingSum(96)=324 3T+E=324

DownMovingSum(96)=72 3T=72

GradedTotSum(96)=0 GradedEdgeCount=0



UpMovingSum(97)=594 3T+E=594

DownMovingSum(97)=162 3T=162

GradedTotSum(97)=0 GradedEdgeCount=0



UpMovingSum(98)=1008 3T+E=1008

DownMovingSum(98)=360 3T=360

GradedTotSum(98)=0 GradedEdgeCount=0



UpMovingSum(99)=63 3T+E=63

DownMovingSum(99)=18 3T=18

GradedTotSum(99)=-1 GradedEdgeCount=-1



UpMovingSum(100)=144 3T+E=144

DownMovingSum(100)=36 3T=36

GradedTotSum(100)=0 GradedEdgeCount=0



UpMovingSum(101)=144 3T+E=144

DownMovingSum(101)=36 3T=36

GradedTotSum(101)=0 GradedEdgeCount=0



UpMovingSum(102)=324 3T+E=324

DownMovingSum(102)=72 3T=72

GradedTotSum(102)=0 GradedEdgeCount=0



UpMovingSum(103)=594 3T+E=594

DownMovingSum(103)=162 3T=162

GradedTotSum(103)=0 GradedEdgeCount=0



UpMovingSum(104)=270 3T+E=270

DownMovingSum(104)=81 3T=81

GradedTotSum(104)=-1 GradedEdgeCount=-1



UpMovingSum(105)=594 3T+E=594

DownMovingSum(105)=162 3T=162

GradedTotSum(105)=0 GradedEdgeCount=0



UpMovingSum(106)=1053 3T+E=1053

DownMovingSum(106)=324 3T=324

GradedTotSum(106)=-1 GradedEdgeCount=-1



UpMovingSum(107)=1728 3T+E=1728

DownMovingSum(107)=648 3T=648

GradedTotSum(107)=0 GradedEdgeCount=0



UpMovingSum(108)=468 3T+E=468

DownMovingSum(108)=180 3T=180

GradedTotSum(108)=0 GradedEdgeCount=0



UpMovingSum(109)=1008 3T+E=1008

DownMovingSum(109)=360 3T=360

GradedTotSum(109)=0 GradedEdgeCount=0



UpMovingSum(110)=1728 3T+E=1728

DownMovingSum(110)=648 3T=648

GradedTotSum(110)=0 GradedEdgeCount=0



UpMovingSum(111)=2736 3T+E=2736

DownMovingSum(111)=1152 3T=1152

GradedTotSum(111)=0 GradedEdgeCount=0



UpMovingSum(112)=4140 3T+E=4140

DownMovingSum(112)=1980 3T=1980

GradedTotSum(112)=0 GradedEdgeCount=0



UpMovingSum(113)=120 3T+E=120

DownMovingSum(113)=48 3T=48

GradedTotSum(113)=0 GradedEdgeCount=0



UpMovingSum(114)=264 3T+E=264

DownMovingSum(114)=96 3T=96

GradedTotSum(114)=0 GradedEdgeCount=0



UpMovingSum(115)=264 3T+E=264

DownMovingSum(115)=96 3T=96

GradedTotSum(115)=0 GradedEdgeCount=0



UpMovingSum(116)=576 3T+E=576

DownMovingSum(116)=192 3T=192

GradedTotSum(116)=0 GradedEdgeCount=0



UpMovingSum(117)=1008 3T+E=1008

DownMovingSum(117)=360 3T=360

GradedTotSum(117)=0 GradedEdgeCount=0



UpMovingSum(118)=468 3T+E=468

DownMovingSum(118)=180 3T=180

GradedTotSum(118)=0 GradedEdgeCount=0



UpMovingSum(119)=1008 3T+E=1008

DownMovingSum(119)=360 3T=360

GradedTotSum(119)=0 GradedEdgeCount=0



UpMovingSum(120)=1728 3T+E=1728

DownMovingSum(120)=648 3T=648

GradedTotSum(120)=0 GradedEdgeCount=0



UpMovingSum(121)=2736 3T+E=2736

DownMovingSum(121)=1152 3T=1152

GradedTotSum(121)=0 GradedEdgeCount=0



UpMovingSum(122)=768 3T+E=768

DownMovingSum(122)=336 3T=336

GradedTotSum(122)=0 GradedEdgeCount=0



UpMovingSum(123)=1632 3T+E=1632

DownMovingSum(123)=672 3T=672

GradedTotSum(123)=0 GradedEdgeCount=0



UpMovingSum(124)=2736 3T+E=2736

DownMovingSum(124)=1152 3T=1152

GradedTotSum(124)=0 GradedEdgeCount=0



UpMovingSum(125)=4224 3T+E=4224

DownMovingSum(125)=1920 3T=1920

GradedTotSum(125)=0 GradedEdgeCount=0



UpMovingSum(126)=6240 3T+E=6240

DownMovingSum(126)=3120 3T=3120

GradedTotSum(126)=0 GradedEdgeCount=0



UpMovingSum(127)=1200 3T+E=1200

DownMovingSum(127)=600 3T=600

GradedTotSum(127)=0 GradedEdgeCount=0



UpMovingSum(128)=2520 3T+E=2520

DownMovingSum(128)=1200 3T=1200

GradedTotSum(128)=0 GradedEdgeCount=0



UpMovingSum(129)=4140 3T+E=4140

DownMovingSum(129)=1980 3T=1980

GradedTotSum(129)=0 GradedEdgeCount=0



UpMovingSum(130)=6240 3T+E=6240

DownMovingSum(130)=3120 3T=3120

GradedTotSum(130)=0 GradedEdgeCount=0



UpMovingSum(131)=9000 3T+E=9000

DownMovingSum(131)=4800 3T=4800

GradedTotSum(131)=0 GradedEdgeCount=0



UpMovingSum(132)=12600 3T+E=12600

DownMovingSum(132)=7200 3T=7200

GradedTotSum(132)=0 GradedEdgeCount=0



UpMovingSum(133)=1 3T+E=1

DownMovingSum(133)=0 3T=0

GradedTotSum(133)=-1 GradedEdgeCount=-1



UpMovingSum(134)=4 3T+E=4

DownMovingSum(134)=0 3T=0

GradedTotSum(134)=0 GradedEdgeCount=0



UpMovingSum(135)=4 3T+E=4

DownMovingSum(135)=0 3T=0

GradedTotSum(135)=0 GradedEdgeCount=0



UpMovingSum(136)=12 3T+E=12

DownMovingSum(136)=0 3T=0

GradedTotSum(136)=0 GradedEdgeCount=0



UpMovingSum(137)=30 3T+E=30

DownMovingSum(137)=6 3T=6

GradedTotSum(137)=0 GradedEdgeCount=0



UpMovingSum(138)=4 3T+E=4

DownMovingSum(138)=0 3T=0

GradedTotSum(138)=0 GradedEdgeCount=0



UpMovingSum(139)=12 3T+E=12

DownMovingSum(139)=0 3T=0

GradedTotSum(139)=0 GradedEdgeCount=0



UpMovingSum(140)=12 3T+E=12

DownMovingSum(140)=0 3T=0

GradedTotSum(140)=0 GradedEdgeCount=0



UpMovingSum(141)=32 3T+E=32

DownMovingSum(141)=0 3T=0

GradedTotSum(141)=0 GradedEdgeCount=0



UpMovingSum(142)=72 3T+E=72

DownMovingSum(142)=12 3T=12

GradedTotSum(142)=0 GradedEdgeCount=0



UpMovingSum(143)=30 3T+E=30

DownMovingSum(143)=6 3T=6

GradedTotSum(143)=0 GradedEdgeCount=0



UpMovingSum(144)=72 3T+E=72

DownMovingSum(144)=12 3T=12

GradedTotSum(144)=0 GradedEdgeCount=0



UpMovingSum(145)=144 3T+E=144

DownMovingSum(145)=36 3T=36

GradedTotSum(145)=0 GradedEdgeCount=0



UpMovingSum(146)=264 3T+E=264

DownMovingSum(146)=96 3T=96

GradedTotSum(146)=0 GradedEdgeCount=0



UpMovingSum(147)=4 3T+E=4

DownMovingSum(147)=0 3T=0

GradedTotSum(147)=0 GradedEdgeCount=0



UpMovingSum(148)=12 3T+E=12

DownMovingSum(148)=0 3T=0

GradedTotSum(148)=0 GradedEdgeCount=0



UpMovingSum(149)=12 3T+E=12

DownMovingSum(149)=0 3T=0

GradedTotSum(149)=0 GradedEdgeCount=0



UpMovingSum(150)=32 3T+E=32

DownMovingSum(150)=0 3T=0

GradedTotSum(150)=0 GradedEdgeCount=0



UpMovingSum(151)=72 3T+E=72

DownMovingSum(151)=12 3T=12

GradedTotSum(151)=0 GradedEdgeCount=0



UpMovingSum(152)=12 3T+E=12

DownMovingSum(152)=0 3T=0

GradedTotSum(152)=0 GradedEdgeCount=0



UpMovingSum(153)=32 3T+E=32

DownMovingSum(153)=0 3T=0

GradedTotSum(153)=0 GradedEdgeCount=0



UpMovingSum(154)=32 3T+E=32

DownMovingSum(154)=0 3T=0

GradedTotSum(154)=0 GradedEdgeCount=0



UpMovingSum(155)=80 3T+E=80

DownMovingSum(155)=0 3T=0

GradedTotSum(155)=0 GradedEdgeCount=0



UpMovingSum(156)=168 3T+E=168

DownMovingSum(156)=24 3T=24

GradedTotSum(156)=0 GradedEdgeCount=0



UpMovingSum(157)=72 3T+E=72

DownMovingSum(157)=12 3T=12

GradedTotSum(157)=0 GradedEdgeCount=0



UpMovingSum(158)=168 3T+E=168

DownMovingSum(158)=24 3T=24

GradedTotSum(158)=0 GradedEdgeCount=0



UpMovingSum(159)=324 3T+E=324

DownMovingSum(159)=72 3T=72

GradedTotSum(159)=0 GradedEdgeCount=0



UpMovingSum(160)=576 3T+E=576

DownMovingSum(160)=192 3T=192

GradedTotSum(160)=0 GradedEdgeCount=0



UpMovingSum(161)=30 3T+E=30

DownMovingSum(161)=6 3T=6

GradedTotSum(161)=0 GradedEdgeCount=0



UpMovingSum(162)=72 3T+E=72

DownMovingSum(162)=12 3T=12

GradedTotSum(162)=0 GradedEdgeCount=0



UpMovingSum(163)=72 3T+E=72

DownMovingSum(163)=12 3T=12

GradedTotSum(163)=0 GradedEdgeCount=0



UpMovingSum(164)=168 3T+E=168

DownMovingSum(164)=24 3T=24

GradedTotSum(164)=0 GradedEdgeCount=0



UpMovingSum(165)=324 3T+E=324

DownMovingSum(165)=72 3T=72

GradedTotSum(165)=0 GradedEdgeCount=0



UpMovingSum(166)=144 3T+E=144

DownMovingSum(166)=36 3T=36

GradedTotSum(166)=0 GradedEdgeCount=0



UpMovingSum(167)=324 3T+E=324

DownMovingSum(167)=72 3T=72

GradedTotSum(167)=0 GradedEdgeCount=0



UpMovingSum(168)=594 3T+E=594

DownMovingSum(168)=162 3T=162

GradedTotSum(168)=0 GradedEdgeCount=0



UpMovingSum(169)=1008 3T+E=1008

DownMovingSum(169)=360 3T=360

GradedTotSum(169)=0 GradedEdgeCount=0



UpMovingSum(170)=264 3T+E=264

DownMovingSum(170)=96 3T=96

GradedTotSum(170)=0 GradedEdgeCount=0



UpMovingSum(171)=576 3T+E=576

DownMovingSum(171)=192 3T=192

GradedTotSum(171)=0 GradedEdgeCount=0



UpMovingSum(172)=1008 3T+E=1008

DownMovingSum(172)=360 3T=360

GradedTotSum(172)=0 GradedEdgeCount=0



UpMovingSum(173)=1632 3T+E=1632

DownMovingSum(173)=672 3T=672

GradedTotSum(173)=0 GradedEdgeCount=0



UpMovingSum(174)=2520 3T+E=2520

DownMovingSum(174)=1200 3T=1200

GradedTotSum(174)=0 GradedEdgeCount=0



UpMovingSum(175)=4 3T+E=4

DownMovingSum(175)=0 3T=0

GradedTotSum(175)=0 GradedEdgeCount=0



UpMovingSum(176)=12 3T+E=12

DownMovingSum(176)=0 3T=0

GradedTotSum(176)=0 GradedEdgeCount=0



UpMovingSum(177)=12 3T+E=12

DownMovingSum(177)=0 3T=0

GradedTotSum(177)=0 GradedEdgeCount=0



UpMovingSum(178)=32 3T+E=32

DownMovingSum(178)=0 3T=0

GradedTotSum(178)=0 GradedEdgeCount=0



UpMovingSum(179)=72 3T+E=72

DownMovingSum(179)=12 3T=12

GradedTotSum(179)=0 GradedEdgeCount=0



UpMovingSum(180)=12 3T+E=12

DownMovingSum(180)=0 3T=0

GradedTotSum(180)=0 GradedEdgeCount=0



UpMovingSum(181)=32 3T+E=32

DownMovingSum(181)=0 3T=0

GradedTotSum(181)=0 GradedEdgeCount=0



UpMovingSum(182)=32 3T+E=32

DownMovingSum(182)=0 3T=0

GradedTotSum(182)=0 GradedEdgeCount=0



UpMovingSum(183)=80 3T+E=80

DownMovingSum(183)=0 3T=0

GradedTotSum(183)=0 GradedEdgeCount=0



UpMovingSum(184)=168 3T+E=168

DownMovingSum(184)=24 3T=24

GradedTotSum(184)=0 GradedEdgeCount=0



UpMovingSum(185)=72 3T+E=72

DownMovingSum(185)=12 3T=12

GradedTotSum(185)=0 GradedEdgeCount=0



UpMovingSum(186)=168 3T+E=168

DownMovingSum(186)=24 3T=24

GradedTotSum(186)=0 GradedEdgeCount=0



UpMovingSum(187)=324 3T+E=324

DownMovingSum(187)=72 3T=72

GradedTotSum(187)=0 GradedEdgeCount=0



UpMovingSum(188)=576 3T+E=576

DownMovingSum(188)=192 3T=192

GradedTotSum(188)=0 GradedEdgeCount=0



UpMovingSum(189)=12 3T+E=12

DownMovingSum(189)=0 3T=0

GradedTotSum(189)=0 GradedEdgeCount=0



UpMovingSum(190)=32 3T+E=32

DownMovingSum(190)=0 3T=0

GradedTotSum(190)=0 GradedEdgeCount=0



UpMovingSum(191)=32 3T+E=32

DownMovingSum(191)=0 3T=0

GradedTotSum(191)=0 GradedEdgeCount=0



UpMovingSum(192)=80 3T+E=80

DownMovingSum(192)=0 3T=0

GradedTotSum(192)=0 GradedEdgeCount=0



UpMovingSum(193)=168 3T+E=168

DownMovingSum(193)=24 3T=24

GradedTotSum(193)=0 GradedEdgeCount=0



UpMovingSum(194)=32 3T+E=32

DownMovingSum(194)=0 3T=0

GradedTotSum(194)=0 GradedEdgeCount=0



UpMovingSum(195)=80 3T+E=80

DownMovingSum(195)=0 3T=0

GradedTotSum(195)=0 GradedEdgeCount=0



UpMovingSum(196)=80 3T+E=80

DownMovingSum(196)=0 3T=0

GradedTotSum(196)=0 GradedEdgeCount=0



UpMovingSum(197)=192 3T+E=192

DownMovingSum(197)=0 3T=0

GradedTotSum(197)=0 GradedEdgeCount=0



UpMovingSum(198)=384 3T+E=384

DownMovingSum(198)=48 3T=48

GradedTotSum(198)=0 GradedEdgeCount=0



UpMovingSum(199)=168 3T+E=168

DownMovingSum(199)=24 3T=24

GradedTotSum(199)=0 GradedEdgeCount=0



UpMovingSum(200)=384 3T+E=384

DownMovingSum(200)=48 3T=48

GradedTotSum(200)=0 GradedEdgeCount=0



UpMovingSum(201)=720 3T+E=720

DownMovingSum(201)=144 3T=144

GradedTotSum(201)=0 GradedEdgeCount=0



UpMovingSum(202)=1248 3T+E=1248

DownMovingSum(202)=384 3T=384

GradedTotSum(202)=0 GradedEdgeCount=0



UpMovingSum(203)=72 3T+E=72

DownMovingSum(203)=12 3T=12

GradedTotSum(203)=0 GradedEdgeCount=0



UpMovingSum(204)=168 3T+E=168

DownMovingSum(204)=24 3T=24

GradedTotSum(204)=0 GradedEdgeCount=0



UpMovingSum(205)=168 3T+E=168

DownMovingSum(205)=24 3T=24

GradedTotSum(205)=0 GradedEdgeCount=0



UpMovingSum(206)=384 3T+E=384

DownMovingSum(206)=48 3T=48

GradedTotSum(206)=0 GradedEdgeCount=0



UpMovingSum(207)=720 3T+E=720

DownMovingSum(207)=144 3T=144

GradedTotSum(207)=0 GradedEdgeCount=0



UpMovingSum(208)=324 3T+E=324

DownMovingSum(208)=72 3T=72

GradedTotSum(208)=0 GradedEdgeCount=0



UpMovingSum(209)=720 3T+E=720

DownMovingSum(209)=144 3T=144

GradedTotSum(209)=0 GradedEdgeCount=0



UpMovingSum(210)=1296 3T+E=1296

DownMovingSum(210)=324 3T=324

GradedTotSum(210)=0 GradedEdgeCount=0



UpMovingSum(211)=2160 3T+E=2160

DownMovingSum(211)=720 3T=720

GradedTotSum(211)=0 GradedEdgeCount=0



UpMovingSum(212)=576 3T+E=576

DownMovingSum(212)=192 3T=192

GradedTotSum(212)=0 GradedEdgeCount=0



UpMovingSum(213)=1248 3T+E=1248

DownMovingSum(213)=384 3T=384

GradedTotSum(213)=0 GradedEdgeCount=0



UpMovingSum(214)=2160 3T+E=2160

DownMovingSum(214)=720 3T=720

GradedTotSum(214)=0 GradedEdgeCount=0



UpMovingSum(215)=3456 3T+E=3456

DownMovingSum(215)=1344 3T=1344

GradedTotSum(215)=0 GradedEdgeCount=0



UpMovingSum(216)=5280 3T+E=5280

DownMovingSum(216)=2400 3T=2400

GradedTotSum(216)=0 GradedEdgeCount=0



UpMovingSum(217)=30 3T+E=30

DownMovingSum(217)=6 3T=6

GradedTotSum(217)=0 GradedEdgeCount=0



UpMovingSum(218)=72 3T+E=72

DownMovingSum(218)=12 3T=12

GradedTotSum(218)=0 GradedEdgeCount=0



UpMovingSum(219)=72 3T+E=72

DownMovingSum(219)=12 3T=12

GradedTotSum(219)=0 GradedEdgeCount=0



UpMovingSum(220)=168 3T+E=168

DownMovingSum(220)=24 3T=24

GradedTotSum(220)=0 GradedEdgeCount=0



UpMovingSum(221)=324 3T+E=324

DownMovingSum(221)=72 3T=72

GradedTotSum(221)=0 GradedEdgeCount=0



UpMovingSum(222)=72 3T+E=72

DownMovingSum(222)=12 3T=12

GradedTotSum(222)=0 GradedEdgeCount=0



UpMovingSum(223)=168 3T+E=168

DownMovingSum(223)=24 3T=24

GradedTotSum(223)=0 GradedEdgeCount=0



UpMovingSum(224)=168 3T+E=168

DownMovingSum(224)=24 3T=24

GradedTotSum(224)=0 GradedEdgeCount=0



UpMovingSum(225)=384 3T+E=384

DownMovingSum(225)=48 3T=48

GradedTotSum(225)=0 GradedEdgeCount=0



UpMovingSum(226)=720 3T+E=720

DownMovingSum(226)=144 3T=144

GradedTotSum(226)=0 GradedEdgeCount=0



UpMovingSum(227)=324 3T+E=324

DownMovingSum(227)=72 3T=72

GradedTotSum(227)=0 GradedEdgeCount=0



UpMovingSum(228)=720 3T+E=720

DownMovingSum(228)=144 3T=144

GradedTotSum(228)=0 GradedEdgeCount=0



UpMovingSum(229)=1296 3T+E=1296

DownMovingSum(229)=324 3T=324

GradedTotSum(229)=0 GradedEdgeCount=0



UpMovingSum(230)=2160 3T+E=2160

DownMovingSum(230)=720 3T=720

GradedTotSum(230)=0 GradedEdgeCount=0



UpMovingSum(231)=144 3T+E=144

DownMovingSum(231)=36 3T=36

GradedTotSum(231)=0 GradedEdgeCount=0



UpMovingSum(232)=324 3T+E=324

DownMovingSum(232)=72 3T=72

GradedTotSum(232)=0 GradedEdgeCount=0



UpMovingSum(233)=324 3T+E=324

DownMovingSum(233)=72 3T=72

GradedTotSum(233)=0 GradedEdgeCount=0



UpMovingSum(234)=720 3T+E=720

DownMovingSum(234)=144 3T=144

GradedTotSum(234)=0 GradedEdgeCount=0



UpMovingSum(235)=1296 3T+E=1296

DownMovingSum(235)=324 3T=324

GradedTotSum(235)=0 GradedEdgeCount=0



UpMovingSum(236)=594 3T+E=594

DownMovingSum(236)=162 3T=162

GradedTotSum(236)=0 GradedEdgeCount=0



UpMovingSum(237)=1296 3T+E=1296

DownMovingSum(237)=324 3T=324

GradedTotSum(237)=0 GradedEdgeCount=0



UpMovingSum(238)=2268 3T+E=2268

DownMovingSum(238)=648 3T=648

GradedTotSum(238)=0 GradedEdgeCount=0



UpMovingSum(239)=3672 3T+E=3672

DownMovingSum(239)=1296 3T=1296

GradedTotSum(239)=0 GradedEdgeCount=0



UpMovingSum(240)=1008 3T+E=1008

DownMovingSum(240)=360 3T=360

GradedTotSum(240)=0 GradedEdgeCount=0



UpMovingSum(241)=2160 3T+E=2160

DownMovingSum(241)=720 3T=720

GradedTotSum(241)=0 GradedEdgeCount=0



UpMovingSum(242)=3672 3T+E=3672

DownMovingSum(242)=1296 3T=1296

GradedTotSum(242)=0 GradedEdgeCount=0



UpMovingSum(243)=5760 3T+E=5760

DownMovingSum(243)=2304 3T=2304

GradedTotSum(243)=0 GradedEdgeCount=0



UpMovingSum(244)=8640 3T+E=8640

DownMovingSum(244)=3960 3T=3960

GradedTotSum(244)=0 GradedEdgeCount=0



UpMovingSum(245)=264 3T+E=264

DownMovingSum(245)=96 3T=96

GradedTotSum(245)=0 GradedEdgeCount=0



UpMovingSum(246)=576 3T+E=576

DownMovingSum(246)=192 3T=192

GradedTotSum(246)=0 GradedEdgeCount=0



UpMovingSum(247)=576 3T+E=576

DownMovingSum(247)=192 3T=192

GradedTotSum(247)=0 GradedEdgeCount=0



UpMovingSum(248)=1248 3T+E=1248

DownMovingSum(248)=384 3T=384

GradedTotSum(248)=0 GradedEdgeCount=0



UpMovingSum(249)=2160 3T+E=2160

DownMovingSum(249)=720 3T=720

GradedTotSum(249)=0 GradedEdgeCount=0



UpMovingSum(250)=1008 3T+E=1008

DownMovingSum(250)=360 3T=360

GradedTotSum(250)=0 GradedEdgeCount=0



UpMovingSum(251)=2160 3T+E=2160

DownMovingSum(251)=720 3T=720

GradedTotSum(251)=0 GradedEdgeCount=0



UpMovingSum(252)=3672 3T+E=3672

DownMovingSum(252)=1296 3T=1296

GradedTotSum(252)=0 GradedEdgeCount=0



UpMovingSum(253)=5760 3T+E=5760

DownMovingSum(253)=2304 3T=2304

GradedTotSum(253)=0 GradedEdgeCount=0



UpMovingSum(254)=1632 3T+E=1632

DownMovingSum(254)=672 3T=672

GradedTotSum(254)=0 GradedEdgeCount=0



UpMovingSum(255)=3456 3T+E=3456

DownMovingSum(255)=1344 3T=1344

GradedTotSum(255)=0 GradedEdgeCount=0



UpMovingSum(256)=5760 3T+E=5760

DownMovingSum(256)=2304 3T=2304

GradedTotSum(256)=0 GradedEdgeCount=0



UpMovingSum(257)=8832 3T+E=8832

DownMovingSum(257)=3840 3T=3840

GradedTotSum(257)=0 GradedEdgeCount=0



UpMovingSum(258)=12960 3T+E=12960

DownMovingSum(258)=6240 3T=6240

GradedTotSum(258)=0 GradedEdgeCount=0



UpMovingSum(259)=2520 3T+E=2520

DownMovingSum(259)=1200 3T=1200

GradedTotSum(259)=0 GradedEdgeCount=0



UpMovingSum(260)=5280 3T+E=5280

DownMovingSum(260)=2400 3T=2400

GradedTotSum(260)=0 GradedEdgeCount=0



UpMovingSum(261)=8640 3T+E=8640

DownMovingSum(261)=3960 3T=3960

GradedTotSum(261)=0 GradedEdgeCount=0



UpMovingSum(262)=12960 3T+E=12960

DownMovingSum(262)=6240 3T=6240

GradedTotSum(262)=0 GradedEdgeCount=0



UpMovingSum(263)=18600 3T+E=18600

DownMovingSum(263)=9600 3T=9600

GradedTotSum(263)=0 GradedEdgeCount=0



UpMovingSum(264)=25920 3T+E=25920

DownMovingSum(264)=14400 3T=14400

GradedTotSum(264)=0 GradedEdgeCount=0



UpMovingSum(265)=12 3T+E=12

DownMovingSum(265)=3 3T=3

GradedTotSum(265)=-1 GradedEdgeCount=-1



UpMovingSum(266)=30 3T+E=30

DownMovingSum(266)=6 3T=6

GradedTotSum(266)=0 GradedEdgeCount=0



UpMovingSum(267)=30 3T+E=30

DownMovingSum(267)=6 3T=6

GradedTotSum(267)=0 GradedEdgeCount=0



UpMovingSum(268)=72 3T+E=72

DownMovingSum(268)=12 3T=12

GradedTotSum(268)=0 GradedEdgeCount=0



UpMovingSum(269)=144 3T+E=144

DownMovingSum(269)=36 3T=36

GradedTotSum(269)=0 GradedEdgeCount=0



UpMovingSum(270)=30 3T+E=30

DownMovingSum(270)=6 3T=6

GradedTotSum(270)=0 GradedEdgeCount=0



UpMovingSum(271)=72 3T+E=72

DownMovingSum(271)=12 3T=12

GradedTotSum(271)=0 GradedEdgeCount=0



UpMovingSum(272)=72 3T+E=72

DownMovingSum(272)=12 3T=12

GradedTotSum(272)=0 GradedEdgeCount=0



UpMovingSum(273)=168 3T+E=168

DownMovingSum(273)=24 3T=24

GradedTotSum(273)=0 GradedEdgeCount=0



UpMovingSum(274)=324 3T+E=324

DownMovingSum(274)=72 3T=72

GradedTotSum(274)=0 GradedEdgeCount=0



UpMovingSum(275)=144 3T+E=144

DownMovingSum(275)=36 3T=36

GradedTotSum(275)=0 GradedEdgeCount=0



UpMovingSum(276)=324 3T+E=324

DownMovingSum(276)=72 3T=72

GradedTotSum(276)=0 GradedEdgeCount=0



UpMovingSum(277)=594 3T+E=594

DownMovingSum(277)=162 3T=162

GradedTotSum(277)=0 GradedEdgeCount=0



UpMovingSum(278)=1008 3T+E=1008

DownMovingSum(278)=360 3T=360

GradedTotSum(278)=0 GradedEdgeCount=0



UpMovingSum(279)=30 3T+E=30

DownMovingSum(279)=6 3T=6

GradedTotSum(279)=0 GradedEdgeCount=0



UpMovingSum(280)=72 3T+E=72

DownMovingSum(280)=12 3T=12

GradedTotSum(280)=0 GradedEdgeCount=0



UpMovingSum(281)=72 3T+E=72

DownMovingSum(281)=12 3T=12

GradedTotSum(281)=0 GradedEdgeCount=0



UpMovingSum(282)=168 3T+E=168

DownMovingSum(282)=24 3T=24

GradedTotSum(282)=0 GradedEdgeCount=0



UpMovingSum(283)=324 3T+E=324

DownMovingSum(283)=72 3T=72

GradedTotSum(283)=0 GradedEdgeCount=0



UpMovingSum(284)=72 3T+E=72

DownMovingSum(284)=12 3T=12

GradedTotSum(284)=0 GradedEdgeCount=0



UpMovingSum(285)=168 3T+E=168

DownMovingSum(285)=24 3T=24

GradedTotSum(285)=0 GradedEdgeCount=0



UpMovingSum(286)=168 3T+E=168

DownMovingSum(286)=24 3T=24

GradedTotSum(286)=0 GradedEdgeCount=0



UpMovingSum(287)=384 3T+E=384

DownMovingSum(287)=48 3T=48

GradedTotSum(287)=0 GradedEdgeCount=0



UpMovingSum(288)=720 3T+E=720

DownMovingSum(288)=144 3T=144

GradedTotSum(288)=0 GradedEdgeCount=0



UpMovingSum(289)=324 3T+E=324

DownMovingSum(289)=72 3T=72

GradedTotSum(289)=0 GradedEdgeCount=0



UpMovingSum(290)=720 3T+E=720

DownMovingSum(290)=144 3T=144

GradedTotSum(290)=0 GradedEdgeCount=0



UpMovingSum(291)=1296 3T+E=1296

DownMovingSum(291)=324 3T=324

GradedTotSum(291)=0 GradedEdgeCount=0



UpMovingSum(292)=2160 3T+E=2160

DownMovingSum(292)=720 3T=720

GradedTotSum(292)=0 GradedEdgeCount=0



UpMovingSum(293)=144 3T+E=144

DownMovingSum(293)=36 3T=36

GradedTotSum(293)=0 GradedEdgeCount=0



UpMovingSum(294)=324 3T+E=324

DownMovingSum(294)=72 3T=72

GradedTotSum(294)=0 GradedEdgeCount=0



UpMovingSum(295)=324 3T+E=324

DownMovingSum(295)=72 3T=72

GradedTotSum(295)=0 GradedEdgeCount=0



UpMovingSum(296)=720 3T+E=720

DownMovingSum(296)=144 3T=144

GradedTotSum(296)=0 GradedEdgeCount=0



UpMovingSum(297)=1296 3T+E=1296

DownMovingSum(297)=324 3T=324

GradedTotSum(297)=0 GradedEdgeCount=0



UpMovingSum(298)=594 3T+E=594

DownMovingSum(298)=162 3T=162

GradedTotSum(298)=0 GradedEdgeCount=0



UpMovingSum(299)=1296 3T+E=1296

DownMovingSum(299)=324 3T=324

GradedTotSum(299)=0 GradedEdgeCount=0



UpMovingSum(300)=2268 3T+E=2268

DownMovingSum(300)=648 3T=648

GradedTotSum(300)=0 GradedEdgeCount=0



UpMovingSum(301)=3672 3T+E=3672

DownMovingSum(301)=1296 3T=1296

GradedTotSum(301)=0 GradedEdgeCount=0



UpMovingSum(302)=1008 3T+E=1008

DownMovingSum(302)=360 3T=360

GradedTotSum(302)=0 GradedEdgeCount=0



UpMovingSum(303)=2160 3T+E=2160

DownMovingSum(303)=720 3T=720

GradedTotSum(303)=0 GradedEdgeCount=0



UpMovingSum(304)=3672 3T+E=3672

DownMovingSum(304)=1296 3T=1296

GradedTotSum(304)=0 GradedEdgeCount=0



UpMovingSum(305)=5760 3T+E=5760

DownMovingSum(305)=2304 3T=2304

GradedTotSum(305)=0 GradedEdgeCount=0



UpMovingSum(306)=8640 3T+E=8640

DownMovingSum(306)=3960 3T=3960

GradedTotSum(306)=0 GradedEdgeCount=0



UpMovingSum(307)=63 3T+E=63

DownMovingSum(307)=18 3T=18

GradedTotSum(307)=-1 GradedEdgeCount=-1



UpMovingSum(308)=144 3T+E=144

DownMovingSum(308)=36 3T=36

GradedTotSum(308)=0 GradedEdgeCount=0



UpMovingSum(309)=144 3T+E=144

DownMovingSum(309)=36 3T=36

GradedTotSum(309)=0 GradedEdgeCount=0



UpMovingSum(310)=324 3T+E=324

DownMovingSum(310)=72 3T=72

GradedTotSum(310)=0 GradedEdgeCount=0



UpMovingSum(311)=594 3T+E=594

DownMovingSum(311)=162 3T=162

GradedTotSum(311)=0 GradedEdgeCount=0



UpMovingSum(312)=144 3T+E=144

DownMovingSum(312)=36 3T=36

GradedTotSum(312)=0 GradedEdgeCount=0



UpMovingSum(313)=324 3T+E=324

DownMovingSum(313)=72 3T=72

GradedTotSum(313)=0 GradedEdgeCount=0



UpMovingSum(314)=324 3T+E=324

DownMovingSum(314)=72 3T=72

GradedTotSum(314)=0 GradedEdgeCount=0



UpMovingSum(315)=720 3T+E=720

DownMovingSum(315)=144 3T=144

GradedTotSum(315)=0 GradedEdgeCount=0



UpMovingSum(316)=1296 3T+E=1296

DownMovingSum(316)=324 3T=324

GradedTotSum(316)=0 GradedEdgeCount=0



UpMovingSum(317)=594 3T+E=594

DownMovingSum(317)=162 3T=162

GradedTotSum(317)=0 GradedEdgeCount=0



UpMovingSum(318)=1296 3T+E=1296

DownMovingSum(318)=324 3T=324

GradedTotSum(318)=0 GradedEdgeCount=0



UpMovingSum(319)=2268 3T+E=2268

DownMovingSum(319)=648 3T=648

GradedTotSum(319)=0 GradedEdgeCount=0



UpMovingSum(320)=3672 3T+E=3672

DownMovingSum(320)=1296 3T=1296

GradedTotSum(320)=0 GradedEdgeCount=0



UpMovingSum(321)=270 3T+E=270

DownMovingSum(321)=81 3T=81

GradedTotSum(321)=-1 GradedEdgeCount=-1



UpMovingSum(322)=594 3T+E=594

DownMovingSum(322)=162 3T=162

GradedTotSum(322)=0 GradedEdgeCount=0



UpMovingSum(323)=594 3T+E=594

DownMovingSum(323)=162 3T=162

GradedTotSum(323)=0 GradedEdgeCount=0



UpMovingSum(324)=1296 3T+E=1296

DownMovingSum(324)=324 3T=324

GradedTotSum(324)=0 GradedEdgeCount=0



UpMovingSum(325)=2268 3T+E=2268

DownMovingSum(325)=648 3T=648

GradedTotSum(325)=0 GradedEdgeCount=0



UpMovingSum(326)=1053 3T+E=1053

DownMovingSum(326)=324 3T=324

GradedTotSum(326)=-1 GradedEdgeCount=-1



UpMovingSum(327)=2268 3T+E=2268

DownMovingSum(327)=648 3T=648

GradedTotSum(327)=0 GradedEdgeCount=0



UpMovingSum(328)=3888 3T+E=3888

DownMovingSum(328)=1215 3T=1215

GradedTotSum(328)=-1 GradedEdgeCount=-1



UpMovingSum(329)=6156 3T+E=6156

DownMovingSum(329)=2268 3T=2268

GradedTotSum(329)=0 GradedEdgeCount=0



UpMovingSum(330)=1728 3T+E=1728

DownMovingSum(330)=648 3T=648

GradedTotSum(330)=0 GradedEdgeCount=0



UpMovingSum(331)=3672 3T+E=3672

DownMovingSum(331)=1296 3T=1296

GradedTotSum(331)=0 GradedEdgeCount=0



UpMovingSum(332)=6156 3T+E=6156

DownMovingSum(332)=2268 3T=2268

GradedTotSum(332)=0 GradedEdgeCount=0



UpMovingSum(333)=9504 3T+E=9504

DownMovingSum(333)=3888 3T=3888

GradedTotSum(333)=0 GradedEdgeCount=0



UpMovingSum(334)=14040 3T+E=14040

DownMovingSum(334)=6480 3T=6480

GradedTotSum(334)=0 GradedEdgeCount=0



UpMovingSum(335)=468 3T+E=468

DownMovingSum(335)=180 3T=180

GradedTotSum(335)=0 GradedEdgeCount=0



UpMovingSum(336)=1008 3T+E=1008

DownMovingSum(336)=360 3T=360

GradedTotSum(336)=0 GradedEdgeCount=0



UpMovingSum(337)=1008 3T+E=1008

DownMovingSum(337)=360 3T=360

GradedTotSum(337)=0 GradedEdgeCount=0



UpMovingSum(338)=2160 3T+E=2160

DownMovingSum(338)=720 3T=720

GradedTotSum(338)=0 GradedEdgeCount=0



UpMovingSum(339)=3672 3T+E=3672

DownMovingSum(339)=1296 3T=1296

GradedTotSum(339)=0 GradedEdgeCount=0



UpMovingSum(340)=1728 3T+E=1728

DownMovingSum(340)=648 3T=648

GradedTotSum(340)=0 GradedEdgeCount=0



UpMovingSum(341)=3672 3T+E=3672

DownMovingSum(341)=1296 3T=1296

GradedTotSum(341)=0 GradedEdgeCount=0



UpMovingSum(342)=6156 3T+E=6156

DownMovingSum(342)=2268 3T=2268

GradedTotSum(342)=0 GradedEdgeCount=0



UpMovingSum(343)=9504 3T+E=9504

DownMovingSum(343)=3888 3T=3888

GradedTotSum(343)=0 GradedEdgeCount=0



UpMovingSum(344)=2736 3T+E=2736

DownMovingSum(344)=1152 3T=1152

GradedTotSum(344)=0 GradedEdgeCount=0



UpMovingSum(345)=5760 3T+E=5760

DownMovingSum(345)=2304 3T=2304

GradedTotSum(345)=0 GradedEdgeCount=0



UpMovingSum(346)=9504 3T+E=9504

DownMovingSum(346)=3888 3T=3888

GradedTotSum(346)=0 GradedEdgeCount=0



UpMovingSum(347)=14400 3T+E=14400

DownMovingSum(347)=6336 3T=6336

GradedTotSum(347)=0 GradedEdgeCount=0



UpMovingSum(348)=20880 3T+E=20880

DownMovingSum(348)=10080 3T=10080

GradedTotSum(348)=0 GradedEdgeCount=0



UpMovingSum(349)=4140 3T+E=4140

DownMovingSum(349)=1980 3T=1980

GradedTotSum(349)=0 GradedEdgeCount=0



UpMovingSum(350)=8640 3T+E=8640

DownMovingSum(350)=3960 3T=3960

GradedTotSum(350)=0 GradedEdgeCount=0



UpMovingSum(351)=14040 3T+E=14040

DownMovingSum(351)=6480 3T=6480

GradedTotSum(351)=0 GradedEdgeCount=0



UpMovingSum(352)=20880 3T+E=20880

DownMovingSum(352)=10080 3T=10080

GradedTotSum(352)=0 GradedEdgeCount=0



UpMovingSum(353)=29700 3T+E=29700

DownMovingSum(353)=15300 3T=15300

GradedTotSum(353)=0 GradedEdgeCount=0



UpMovingSum(354)=41040 3T+E=41040

DownMovingSum(354)=22680 3T=22680

GradedTotSum(354)=0 GradedEdgeCount=0



UpMovingSum(355)=120 3T+E=120

DownMovingSum(355)=48 3T=48

GradedTotSum(355)=0 GradedEdgeCount=0



UpMovingSum(356)=264 3T+E=264

DownMovingSum(356)=96 3T=96

GradedTotSum(356)=0 GradedEdgeCount=0



UpMovingSum(357)=264 3T+E=264

DownMovingSum(357)=96 3T=96

GradedTotSum(357)=0 GradedEdgeCount=0



UpMovingSum(358)=576 3T+E=576

DownMovingSum(358)=192 3T=192

GradedTotSum(358)=0 GradedEdgeCount=0



UpMovingSum(359)=1008 3T+E=1008

DownMovingSum(359)=360 3T=360

GradedTotSum(359)=0 GradedEdgeCount=0



UpMovingSum(360)=264 3T+E=264

DownMovingSum(360)=96 3T=96

GradedTotSum(360)=0 GradedEdgeCount=0



UpMovingSum(361)=576 3T+E=576

DownMovingSum(361)=192 3T=192

GradedTotSum(361)=0 GradedEdgeCount=0



UpMovingSum(362)=576 3T+E=576

DownMovingSum(362)=192 3T=192

GradedTotSum(362)=0 GradedEdgeCount=0



UpMovingSum(363)=1248 3T+E=1248

DownMovingSum(363)=384 3T=384

GradedTotSum(363)=0 GradedEdgeCount=0



UpMovingSum(364)=2160 3T+E=2160

DownMovingSum(364)=720 3T=720

GradedTotSum(364)=0 GradedEdgeCount=0



UpMovingSum(365)=1008 3T+E=1008

DownMovingSum(365)=360 3T=360

GradedTotSum(365)=0 GradedEdgeCount=0



UpMovingSum(366)=2160 3T+E=2160

DownMovingSum(366)=720 3T=720

GradedTotSum(366)=0 GradedEdgeCount=0



UpMovingSum(367)=3672 3T+E=3672

DownMovingSum(367)=1296 3T=1296

GradedTotSum(367)=0 GradedEdgeCount=0



UpMovingSum(368)=5760 3T+E=5760

DownMovingSum(368)=2304 3T=2304

GradedTotSum(368)=0 GradedEdgeCount=0



UpMovingSum(369)=468 3T+E=468

DownMovingSum(369)=180 3T=180

GradedTotSum(369)=0 GradedEdgeCount=0



UpMovingSum(370)=1008 3T+E=1008

DownMovingSum(370)=360 3T=360

GradedTotSum(370)=0 GradedEdgeCount=0



UpMovingSum(371)=1008 3T+E=1008

DownMovingSum(371)=360 3T=360

GradedTotSum(371)=0 GradedEdgeCount=0



UpMovingSum(372)=2160 3T+E=2160

DownMovingSum(372)=720 3T=720

GradedTotSum(372)=0 GradedEdgeCount=0



UpMovingSum(373)=3672 3T+E=3672

DownMovingSum(373)=1296 3T=1296

GradedTotSum(373)=0 GradedEdgeCount=0



UpMovingSum(374)=1728 3T+E=1728

DownMovingSum(374)=648 3T=648

GradedTotSum(374)=0 GradedEdgeCount=0



UpMovingSum(375)=3672 3T+E=3672

DownMovingSum(375)=1296 3T=1296

GradedTotSum(375)=0 GradedEdgeCount=0



UpMovingSum(376)=6156 3T+E=6156

DownMovingSum(376)=2268 3T=2268

GradedTotSum(376)=0 GradedEdgeCount=0



UpMovingSum(377)=9504 3T+E=9504

DownMovingSum(377)=3888 3T=3888

GradedTotSum(377)=0 GradedEdgeCount=0



UpMovingSum(378)=2736 3T+E=2736

DownMovingSum(378)=1152 3T=1152

GradedTotSum(378)=0 GradedEdgeCount=0



UpMovingSum(379)=5760 3T+E=5760

DownMovingSum(379)=2304 3T=2304

GradedTotSum(379)=0 GradedEdgeCount=0



UpMovingSum(380)=9504 3T+E=9504

DownMovingSum(380)=3888 3T=3888

GradedTotSum(380)=0 GradedEdgeCount=0



UpMovingSum(381)=14400 3T+E=14400

DownMovingSum(381)=6336 3T=6336

GradedTotSum(381)=0 GradedEdgeCount=0



UpMovingSum(382)=20880 3T+E=20880

DownMovingSum(382)=10080 3T=10080

GradedTotSum(382)=0 GradedEdgeCount=0



UpMovingSum(383)=768 3T+E=768

DownMovingSum(383)=336 3T=336

GradedTotSum(383)=0 GradedEdgeCount=0



UpMovingSum(384)=1632 3T+E=1632

DownMovingSum(384)=672 3T=672

GradedTotSum(384)=0 GradedEdgeCount=0



UpMovingSum(385)=1632 3T+E=1632

DownMovingSum(385)=672 3T=672

GradedTotSum(385)=0 GradedEdgeCount=0



UpMovingSum(386)=3456 3T+E=3456

DownMovingSum(386)=1344 3T=1344

GradedTotSum(386)=0 GradedEdgeCount=0



UpMovingSum(387)=5760 3T+E=5760

DownMovingSum(387)=2304 3T=2304

GradedTotSum(387)=0 GradedEdgeCount=0



UpMovingSum(388)=2736 3T+E=2736

DownMovingSum(388)=1152 3T=1152

GradedTotSum(388)=0 GradedEdgeCount=0



UpMovingSum(389)=5760 3T+E=5760

DownMovingSum(389)=2304 3T=2304

GradedTotSum(389)=0 GradedEdgeCount=0



UpMovingSum(390)=9504 3T+E=9504

DownMovingSum(390)=3888 3T=3888

GradedTotSum(390)=0 GradedEdgeCount=0



UpMovingSum(391)=14400 3T+E=14400

DownMovingSum(391)=6336 3T=6336

GradedTotSum(391)=0 GradedEdgeCount=0



UpMovingSum(392)=4224 3T+E=4224

DownMovingSum(392)=1920 3T=1920

GradedTotSum(392)=0 GradedEdgeCount=0



UpMovingSum(393)=8832 3T+E=8832

DownMovingSum(393)=3840 3T=3840

GradedTotSum(393)=0 GradedEdgeCount=0



UpMovingSum(394)=14400 3T+E=14400

DownMovingSum(394)=6336 3T=6336

GradedTotSum(394)=0 GradedEdgeCount=0



UpMovingSum(395)=21504 3T+E=21504

DownMovingSum(395)=9984 3T=9984

GradedTotSum(395)=0 GradedEdgeCount=0



UpMovingSum(396)=30720 3T+E=30720

DownMovingSum(396)=15360 3T=15360

GradedTotSum(396)=0 GradedEdgeCount=0



UpMovingSum(397)=6240 3T+E=6240

DownMovingSum(397)=3120 3T=3120

GradedTotSum(397)=0 GradedEdgeCount=0



UpMovingSum(398)=12960 3T+E=12960

DownMovingSum(398)=6240 3T=6240

GradedTotSum(398)=0 GradedEdgeCount=0



UpMovingSum(399)=20880 3T+E=20880

DownMovingSum(399)=10080 3T=10080

GradedTotSum(399)=0 GradedEdgeCount=0



UpMovingSum(400)=30720 3T+E=30720

DownMovingSum(400)=15360 3T=15360

GradedTotSum(400)=0 GradedEdgeCount=0



UpMovingSum(401)=43200 3T+E=43200

DownMovingSum(401)=22800 3T=22800

GradedTotSum(401)=0 GradedEdgeCount=0



UpMovingSum(402)=59040 3T+E=59040

DownMovingSum(402)=33120 3T=33120

GradedTotSum(402)=0 GradedEdgeCount=0



UpMovingSum(403)=1200 3T+E=1200

DownMovingSum(403)=600 3T=600

GradedTotSum(403)=0 GradedEdgeCount=0



UpMovingSum(404)=2520 3T+E=2520

DownMovingSum(404)=1200 3T=1200

GradedTotSum(404)=0 GradedEdgeCount=0



UpMovingSum(405)=2520 3T+E=2520

DownMovingSum(405)=1200 3T=1200

GradedTotSum(405)=0 GradedEdgeCount=0



UpMovingSum(406)=5280 3T+E=5280

DownMovingSum(406)=2400 3T=2400

GradedTotSum(406)=0 GradedEdgeCount=0



UpMovingSum(407)=8640 3T+E=8640

DownMovingSum(407)=3960 3T=3960

GradedTotSum(407)=0 GradedEdgeCount=0



UpMovingSum(408)=4140 3T+E=4140

DownMovingSum(408)=1980 3T=1980

GradedTotSum(408)=0 GradedEdgeCount=0



UpMovingSum(409)=8640 3T+E=8640

DownMovingSum(409)=3960 3T=3960

GradedTotSum(409)=0 GradedEdgeCount=0



UpMovingSum(410)=14040 3T+E=14040

DownMovingSum(410)=6480 3T=6480

GradedTotSum(410)=0 GradedEdgeCount=0



UpMovingSum(411)=20880 3T+E=20880

DownMovingSum(411)=10080 3T=10080

GradedTotSum(411)=0 GradedEdgeCount=0



UpMovingSum(412)=6240 3T+E=6240

DownMovingSum(412)=3120 3T=3120

GradedTotSum(412)=0 GradedEdgeCount=0



UpMovingSum(413)=12960 3T+E=12960

DownMovingSum(413)=6240 3T=6240

GradedTotSum(413)=0 GradedEdgeCount=0



UpMovingSum(414)=20880 3T+E=20880

DownMovingSum(414)=10080 3T=10080

GradedTotSum(414)=0 GradedEdgeCount=0



UpMovingSum(415)=30720 3T+E=30720

DownMovingSum(415)=15360 3T=15360

GradedTotSum(415)=0 GradedEdgeCount=0



UpMovingSum(416)=43200 3T+E=43200

DownMovingSum(416)=22800 3T=22800

GradedTotSum(416)=0 GradedEdgeCount=0



UpMovingSum(417)=9000 3T+E=9000

DownMovingSum(417)=4800 3T=4800

GradedTotSum(417)=0 GradedEdgeCount=0



UpMovingSum(418)=18600 3T+E=18600

DownMovingSum(418)=9600 3T=9600

GradedTotSum(418)=0 GradedEdgeCount=0



UpMovingSum(419)=29700 3T+E=29700

DownMovingSum(419)=15300 3T=15300

GradedTotSum(419)=0 GradedEdgeCount=0



UpMovingSum(420)=43200 3T+E=43200

DownMovingSum(420)=22800 3T=22800

GradedTotSum(420)=0 GradedEdgeCount=0



UpMovingSum(421)=60000 3T+E=60000

DownMovingSum(421)=33000 3T=33000

GradedTotSum(421)=0 GradedEdgeCount=0



UpMovingSum(422)=81000 3T+E=81000

DownMovingSum(422)=46800 3T=46800

GradedTotSum(422)=0 GradedEdgeCount=0



UpMovingSum(423)=12600 3T+E=12600

DownMovingSum(423)=7200 3T=7200

GradedTotSum(423)=0 GradedEdgeCount=0



UpMovingSum(424)=25920 3T+E=25920

DownMovingSum(424)=14400 3T=14400

GradedTotSum(424)=0 GradedEdgeCount=0



UpMovingSum(425)=41040 3T+E=41040

DownMovingSum(425)=22680 3T=22680

GradedTotSum(425)=0 GradedEdgeCount=0



UpMovingSum(426)=59040 3T+E=59040

DownMovingSum(426)=33120 3T=33120

GradedTotSum(426)=0 GradedEdgeCount=0



UpMovingSum(427)=81000 3T+E=81000

DownMovingSum(427)=46800 3T=46800

GradedTotSum(427)=0 GradedEdgeCount=0



UpMovingSum(428)=108000 3T+E=108000

DownMovingSum(428)=64800 3T=64800

GradedTotSum(428)=0 GradedEdgeCount=0



UpMovingSum(429)=141120 3T+E=141120

DownMovingSum(429)=88200 3T=88200

GradedTotSum(429)=0 GradedEdgeCount=0



UpMovingSumAllPaths=1891890 3T+E=1891890

DownMovingSumAllPaths=945945 3T=945945

GradedTotSumAllPaths=-21 GradededgecountAllPaths=-21

3*1/15 (2 p - 1)!! Binomial[p, 3](*3T from induction hypothesis*)

3*1/15 (2 p - 1)!! Binomial[p, 3] + (1/
  3) (2 p - 1)!! Binomial[p, 2](*3T+E from induction hypothesis + 
  Riordan-Touchard*)

945945

1891890

1/15 (2 p + 1)!! Binomial[p, 
  2](*probe matrix sum from induction hypothesis*)
\
upMovingSumAllPaths + downMovingSumAllPaths

2837835

2837835

-Binomial[p, 2](*probe matrix sum from induction*)

-21