How to read:
There are two ways to look at voids; composite or verticle. Compostie consists of two vertical layers of voids. The first layer (a) contains the placed item (base) and the 3 voids that surround it (v1, v2, v3). The second layer (b) consists of the 4 voids above the placed item (v1, v2, v3, v4). The voids aways exist in the same orientation: v1 is along the length, v2 is along the width, v3 is the junction between v1 & v2, while v4 only exists above the substrate.
The vertical layer is almost the same except v1a does not stop at the items depth but goes all the way to the top of the box. There is still a 2nd layer and it represents the void above the item. You cannot join v4b to v1a, v2a, or v1a+v2a+v3a until you bridge the depth gap up to the starting depth of v4b.
The following is demonstrating TWO different boxes placing ONE item. Each box has a unique item.
This is a representation of only the vertical views for a 24" x 24" x 24" box.
Trying to place 70087 items over 33 substrates into boxes
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name: Box #0 | %: 100 | volume: 13824 | used: 0
Packing Qty (1918) of size h14.9 inches | w22.9 inches
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name: Box #0 | %: 81.8 | volume: 13824 | used: 2512
Packing Qty (1144) of size h18.9 inches | w18.9 inches
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name: Box #0 | %: 70.5 | volume: 13824 | used: 4080
Packing Qty (2404) of size h14.9 inches | w21.9 inches
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name: Box #0 | %: 48.7 | volume: 13824 | used: 7091
Packing Qty (1723) of size h13.9 inches | w20.9 inches
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name: Box #0 | %: 34.8 | volume: 13824 | used: 9012
Packing Qty (2517) of size h14.9 inches | w19.9 inches
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name: Box #0 | %: 25 | volume: 13824 | used: 10371
Packing Qty (1323) of size h14.9 inches | w19.9 inches
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name: Box #0 | %: 22.8 | volume: 13824 | used: 10678
Packing Qty (1053) of size h14.9 inches | w19.9 inches
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<next box>
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name: Box #0 | %: 22.8 | volume: 13824 | used: 10678
Packing Qty (1053) of size h14.9 inches | w19.9 inches
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<next box>
<NEW box>
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name: Box #1 | %: 100 | volume: 13824 | used: 0
Packing Qty (1053) of size h14.9 inches | w19.9 inches
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LINE ITEM plain_paper #18 EXHAUSTED
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name: Box #1 | %: 91.3 | volume: 13824 | used: 1198
Packing Qty (2758) of size h11.9 inches | w22.9 inches
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name: Box #1 | %: 73.5 | volume: 13824 | used: 3660
Packing Qty (404) of size h11.9 inches | w22.9 inches
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LINE ITEM plain_paper #24 EXHAUSTED
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name: Box #1 | %: 70.5 | volume: 13824 | used: 4083
Packing Qty (2030) of size h16.9 inches | w16.9 inches
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LINE ITEM plain_paper #8 EXHAUSTED
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name: Box #1 | %: 54.4 | volume: 13824 | used: 6308
Packing Qty (1151) of size h13.9 inches | w18.9 inches
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LINE ITEM plain_paper #0 EXHAUSTED
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name: Box #1 | %: 46 | volume: 13824 | used: 7468
Packing Qty (2070) of size h14.9 inches | w17.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #1 | %: 40.2 | volume: 13824 | used: 8268
Packing Qty (1289) of size h14.9 inches | w17.9 inches
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name: Box #1 | %: 35.1 | volume: 13824 | used: 8968
Packing Qty (605) of size h14.9 inches | w17.9 inches
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LINE ITEM plain_paper #10 EXHAUSTED
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name: Box #1 | %: 30.7 | volume: 13824 | used: 9587
Packing Qty (2810) of size h14.9 inches | w17.9 inches
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name: Box #1 | %: 30.6 | volume: 13824 | used: 9597
Packing Qty (2800) of size h14.9 inches | w17.9 inches
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name: Box #1 | %: 30.6 | volume: 13824 | used: 9597
Packing Qty (2799) of size h14.9 inches | w17.9 inches
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name: Box #1 | %: 30.6 | volume: 13824 | used: 9598
Packing Qty (2798) of size h14.9 inches | w17.9 inches
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name: Box #1 | %: 30.6 | volume: 13824 | used: 9599
Packing Qty (2797) of size h14.9 inches | w17.9 inches
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<next box>
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Packing Qty (2797) of size h14.9 inches | w17.9 inches
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UNABLE TO PLACE 2797 LEFT OVER OF plain_paper #32 {open new box}
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name: Box #0 | %: 22.8 | volume: 13824 | used: 10678
Packing Qty (2797) of size h14.9 inches | w17.9 inches
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<next box>
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name: Box #1 | %: 30.6 | volume: 13824 | used: 9599
Packing Qty (2797) of size h14.9 inches | w17.9 inches
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<next box>
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Packing Qty (2797) of size h14.9 inches | w17.9 inches
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UNABLE TO PLACE 2797 LEFT OVER OF plain_paper #32 {open new box}
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name: Box #0 | %: 22.8 | volume: 13824 | used: 10678
Packing Qty (2797) of size h14.9 inches | w17.9 inches
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<next box>
<NEW box>
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name: Box #2 | %: 100 | volume: 13824 | used: 0
Packing Qty (2797) of size h14.9 inches | w17.9 inches
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LINE ITEM plain_paper #32 EXHAUSTED
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name: Box #2 | %: 79.3 | volume: 13824 | used: 2863
Packing Qty (1803) of size h15.9 inches | w16.9 inches
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LINE ITEM plain_paper #27 EXHAUSTED
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name: Box #2 | %: 65.8 | volume: 13824 | used: 4723
Packing Qty (1418) of size h15.9 inches | w15.9 inches
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LINE ITEM plain_paper #6 EXHAUSTED
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name: Box #2 | %: 55.9 | volume: 13824 | used: 6098
Packing Qty (1655) of size h12.9 inches | w17.9 inches
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LINE ITEM plain_paper #11 EXHAUSTED
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name: Box #2 | %: 45.3 | volume: 13824 | used: 7565
Packing Qty (2985) of size h12.9 inches | w17.9 inches
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name: Box #2 | %: 33.9 | volume: 13824 | used: 9132
Packing Qty (1217) of size h12.9 inches | w17.9 inches
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name: Box #1 | %: 30.6 | volume: 13824 | used: 9599
Packing Qty (682) of size h12.9 inches | w17.9 inches
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<next box>
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Packing Qty (682) of size h12.9 inches | w17.9 inches
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name: Box #1 | %: 30.6 | volume: 13824 | used: 9599
Packing Qty (161) of size h12.9 inches | w17.9 inches
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<next box>
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Packing Qty (161) of size h12.9 inches | w17.9 inches
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name: Box #1 | %: 30.6 | volume: 13824 | used: 9599
Packing Qty (23) of size h12.9 inches | w17.9 inches
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<next box>
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Packing Qty (23) of size h12.9 inches | w17.9 inches
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name: Box #1 | %: 30.6 | volume: 13824 | used: 9599
Packing Qty (22) of size h12.9 inches | w17.9 inches
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<next box>
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Packing Qty (22) of size h12.9 inches | w17.9 inches
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UNABLE TO PLACE 22 LEFT OVER OF plain_paper #28 {open new box}
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name: Box #2 | %: 26.3 | volume: 13824 | used: 10190
Packing Qty (22) of size h12.9 inches | w17.9 inches
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<next box>
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Packing Qty (22) of size h12.9 inches | w17.9 inches
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LINE ITEM plain_paper #28 EXHAUSTED
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name: Box #1 | %: 30.6 | volume: 13824 | used: 9599
Packing Qty (2757) of size h13.9 inches | w16.9 inches
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<next box>
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Packing Qty (2757) of size h13.9 inches | w16.9 inches
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UNABLE TO PLACE 2757 LEFT OVER OF plain_paper #26 {open new box}
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name: Box #2 | %: 26.3 | volume: 13824 | used: 10190
Packing Qty (2757) of size h13.9 inches | w16.9 inches
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<next box>
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Packing Qty (2757) of size h13.9 inches | w16.9 inches
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UNABLE TO PLACE 2757 LEFT OVER OF plain_paper #26 {open new box}
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name: Box #0 | %: 22.6 | volume: 13824 | used: 10697
Packing Qty (2757) of size h13.9 inches | w16.9 inches
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<next box>
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name: Box #1 | %: 30.6 | volume: 13824 | used: 9599
Packing Qty (2757) of size h13.9 inches | w16.9 inches
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<next box>
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Packing Qty (2757) of size h13.9 inches | w16.9 inches
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UNABLE TO PLACE 2757 LEFT OVER OF plain_paper #26 {open new box}
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name: Box #2 | %: 26.3 | volume: 13824 | used: 10190
Packing Qty (2757) of size h13.9 inches | w16.9 inches
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<next box>
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Packing Qty (2757) of size h13.9 inches | w16.9 inches
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UNABLE TO PLACE 2757 LEFT OVER OF plain_paper #26 {open new box}
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name: Box #0 | %: 22.6 | volume: 13824 | used: 10697
Packing Qty (2757) of size h13.9 inches | w16.9 inches
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<next box>
<NEW box>
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name: Box #3 | %: 100 | volume: 13824 | used: 0
Packing Qty (2757) of size h13.9 inches | w16.9 inches
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LINE ITEM plain_paper #26 EXHAUSTED
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name: Box #3 | %: 82 | volume: 13824 | used: 2486
Packing Qty (2954) of size h8.9 inches | w22.9 inches
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LINE ITEM plain_paper #31 EXHAUSTED
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name: Box #3 | %: 65.3 | volume: 13824 | used: 4797
Packing Qty (2365) of size h13.9 inches | w14.9 inches
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LINE ITEM plain_paper #12 EXHAUSTED
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name: Box #3 | %: 51.7 | volume: 13824 | used: 6677
Packing Qty (1480) of size h13.9 inches | w14.9 inches
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LINE ITEM plain_paper #17 EXHAUSTED
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name: Box #3 | %: 43.2 | volume: 13824 | used: 7853
Packing Qty (2175) of size h7.9 inches | w21.9 inches
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name: Box #3 | %: 34.4 | volume: 13824 | used: 9070
Packing Qty (342) of size h7.9 inches | w21.9 inches
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LINE ITEM plain_paper #4 EXHAUSTED
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name: Box #3 | %: 32.7 | volume: 13824 | used: 9297
Packing Qty (2791) of size h9.9 inches | w17.9 inches
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name: Box #3 | %: 31.1 | volume: 13824 | used: 9526
Packing Qty (2454) of size h9.9 inches | w17.9 inches
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name: Box #1 | %: 30.6 | volume: 13824 | used: 9599
Packing Qty (2174) of size h9.9 inches | w17.9 inches
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<next box>
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Packing Qty (2174) of size h9.9 inches | w17.9 inches
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UNABLE TO PLACE 2174 LEFT OVER OF plain_paper #5 {open new box}
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name: Box #3 | %: 29.7 | volume: 13824 | used: 9716
Packing Qty (2174) of size h9.9 inches | w17.9 inches
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<next box>
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Packing Qty (2174) of size h9.9 inches | w17.9 inches
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UNABLE TO PLACE 2174 LEFT OVER OF plain_paper #5 {open new box}
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name: Box #2 | %: 26.3 | volume: 13824 | used: 10190
Packing Qty (2174) of size h9.9 inches | w17.9 inches
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<next box>
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Packing Qty (2174) of size h9.9 inches | w17.9 inches
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name: Box #1 | %: 30.6 | volume: 13824 | used: 9599
Packing Qty (2053) of size h9.9 inches | w17.9 inches
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<next box>
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Packing Qty (2053) of size h9.9 inches | w17.9 inches
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UNABLE TO PLACE 2053 LEFT OVER OF plain_paper #5 {open new box}
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name: Box #3 | %: 29.7 | volume: 13824 | used: 9716
Packing Qty (2053) of size h9.9 inches | w17.9 inches
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<next box>
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Packing Qty (2053) of size h9.9 inches | w17.9 inches
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UNABLE TO PLACE 2053 LEFT OVER OF plain_paper #5 {open new box}
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name: Box #2 | %: 26.3 | volume: 13824 | used: 10190
Packing Qty (2053) of size h9.9 inches | w17.9 inches
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<next box>
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Packing Qty (2053) of size h9.9 inches | w17.9 inches
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UNABLE TO PLACE 2053 LEFT OVER OF plain_paper #5 {open new box}
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name: Box #0 | %: 22 | volume: 13824 | used: 10779
Packing Qty (2053) of size h9.9 inches | w17.9 inches
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<next box>
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name: Box #1 | %: 30.6 | volume: 13824 | used: 9599
Packing Qty (2053) of size h9.9 inches | w17.9 inches
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<next box>
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Packing Qty (2053) of size h9.9 inches | w17.9 inches
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UNABLE TO PLACE 2053 LEFT OVER OF plain_paper #5 {open new box}
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name: Box #3 | %: 29.7 | volume: 13824 | used: 9716
Packing Qty (2053) of size h9.9 inches | w17.9 inches
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<next box>
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Packing Qty (2053) of size h9.9 inches | w17.9 inches
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UNABLE TO PLACE 2053 LEFT OVER OF plain_paper #5 {open new box}
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name: Box #2 | %: 26.3 | volume: 13824 | used: 10190
Packing Qty (2053) of size h9.9 inches | w17.9 inches
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<next box>
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Packing Qty (2053) of size h9.9 inches | w17.9 inches
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UNABLE TO PLACE 2053 LEFT OVER OF plain_paper #5 {open new box}
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name: Box #0 | %: 22 | volume: 13824 | used: 10779
Packing Qty (2053) of size h9.9 inches | w17.9 inches
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<next box>
<NEW box>
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name: Box #4 | %: 100 | volume: 13824 | used: 0
Packing Qty (2053) of size h9.9 inches | w17.9 inches
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LINE ITEM plain_paper #5 EXHAUSTED
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name: Box #4 | %: 89.9 | volume: 13824 | used: 1396
Packing Qty (1191) of size h10.9 inches | w13.9 inches
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LINE ITEM plain_paper #7 EXHAUSTED
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name: Box #4 | %: 84.9 | volume: 13824 | used: 2089
Packing Qty (2937) of size h11.9 inches | w12.9 inches
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LINE ITEM plain_paper #3 EXHAUSTED
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name: Box #4 | %: 72.4 | volume: 13824 | used: 3819
Packing Qty (2826) of size h6.9 inches | w20.9 inches
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name: Box #4 | %: 66.1 | volume: 13824 | used: 4689
Packing Qty (1254) of size h6.9 inches | w20.9 inches
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LINE ITEM plain_paper #19 EXHAUSTED
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name: Box #4 | %: 61.1 | volume: 13824 | used: 5383
Packing Qty (2381) of size h6.9 inches | w20.9 inches
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name: Box #4 | %: 54.8 | volume: 13824 | used: 6253
Packing Qty (809) of size h6.9 inches | w20.9 inches
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LINE ITEM plain_paper #22 EXHAUSTED
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name: Box #4 | %: 51.5 | volume: 13824 | used: 6701
Packing Qty (2948) of size h7.9 inches | w18.9 inches
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name: Box #4 | %: 49.3 | volume: 13824 | used: 7010
Packing Qty (2408) of size h7.9 inches | w18.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #4 | %: 49.2 | volume: 13824 | used: 7029
Packing Qty (2376) of size h7.9 inches | w18.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #4 | %: 49.2 | volume: 13824 | used: 7029
Packing Qty (2375) of size h7.9 inches | w18.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #4 | %: 49.2 | volume: 13824 | used: 7029
Packing Qty (2374) of size h7.9 inches | w18.9 inches
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name: Box #4 | %: 49.1 | volume: 13824 | used: 7030
Packing Qty (2373) of size h7.9 inches | w18.9 inches
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name: Box #4 | %: 49.1 | volume: 13824 | used: 7030
Packing Qty (2372) of size h7.9 inches | w18.9 inches
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<next box>
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Packing Qty (2372) of size h7.9 inches | w18.9 inches
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name: Box #4 | %: 49.1 | volume: 13824 | used: 7030
Packing Qty (18) of size h7.9 inches | w18.9 inches
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<next box>
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Packing Qty (18) of size h7.9 inches | w18.9 inches
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LINE ITEM plain_paper #25 EXHAUSTED
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name: Box #4 | %: 49.1 | volume: 13824 | used: 7030
Packing Qty (1762) of size h9.9 inches | w13.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #4 | %: 43.8 | volume: 13824 | used: 7763
Packing Qty (374) of size h9.9 inches | w13.9 inches
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LINE ITEM plain_paper #1 EXHAUSTED
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #4 | %: 42.4 | volume: 13824 | used: 7961
Packing Qty (1456) of size h6.9 inches | w17.9 inches
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name: Box #4 | %: 39.9 | volume: 13824 | used: 8314
Packing Qty (710) of size h6.9 inches | w17.9 inches
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<next box>
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Packing Qty (710) of size h6.9 inches | w17.9 inches
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LINE ITEM plain_paper #15 EXHAUSTED
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 254
name: Box #4 | %: 39.9 | volume: 13824 | used: 8314
Packing Qty (2790) of size h6.9 inches | w17.9 inches
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<next box>
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 309
Packing Qty (2790) of size h6.9 inches | w17.9 inches
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name: Box #4 | %: 39.9 | volume: 13824 | used: 8314
Packing Qty (2250) of size h6.9 inches | w17.9 inches
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<next box>
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Packing Qty (2250) of size h6.9 inches | w17.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #4 | %: 39.9 | volume: 13824 | used: 8314
Packing Qty (678) of size h6.9 inches | w17.9 inches
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<next box>
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 309
Packing Qty (678) of size h6.9 inches | w17.9 inches
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name: Box #4 | %: 39.9 | volume: 13824 | used: 8314
Packing Qty (348) of size h6.9 inches | w17.9 inches
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<next box>
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 309
Packing Qty (348) of size h6.9 inches | w17.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #4 | %: 39.9 | volume: 13824 | used: 8314
Packing Qty (347) of size h6.9 inches | w17.9 inches
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<next box>
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Packing Qty (347) of size h6.9 inches | w17.9 inches
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name: Box #4 | %: 39.9 | volume: 13824 | used: 8314
Packing Qty (346) of size h6.9 inches | w17.9 inches
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<next box>
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 309
Packing Qty (346) of size h6.9 inches | w17.9 inches
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UNABLE TO PLACE 346 LEFT OVER OF plain_paper #20 {open new box}
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name: Box #3 | %: 24.2 | volume: 13824 | used: 10476
Packing Qty (346) of size h6.9 inches | w17.9 inches
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<next box>
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Packing Qty (346) of size h6.9 inches | w17.9 inches
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LINE ITEM plain_paper #20 EXHAUSTED
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 254
name: Box #4 | %: 39.9 | volume: 13824 | used: 8314
Packing Qty (1724) of size h7.9 inches | w13.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #4 | %: 37.9 | volume: 13824 | used: 8589
Packing Qty (1072) of size h7.9 inches | w13.9 inches
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<next box>
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Packing Qty (1072) of size h7.9 inches | w13.9 inches
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LINE ITEM plain_paper #14 EXHAUSTED
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name: Box #4 | %: 37.9 | volume: 13824 | used: 8589
Packing Qty (2318) of size h9.9 inches | w10.9 inches
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LINE ITEM plain_paper #30 EXHAUSTED
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 254
name: Box #4 | %: 30.9 | volume: 13824 | used: 9549
Packing Qty (1791) of size h6.9 inches | w13.9 inches
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<next box>
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 309
Packing Qty (1791) of size h6.9 inches | w13.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #4 | %: 30.9 | volume: 13824 | used: 9549
Packing Qty (295) of size h6.9 inches | w13.9 inches
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<next box>
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Packing Qty (295) of size h6.9 inches | w13.9 inches
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LINE ITEM plain_paper #16 EXHAUSTED
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name: Box #4 | %: 30.9 | volume: 13824 | used: 9549
Packing Qty (1636) of size h6.9 inches | w9.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #4 | %: 29.1 | volume: 13824 | used: 9802
Packing Qty (671) of size h6.9 inches | w9.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #4 | %: 28.1 | volume: 13824 | used: 9939
Packing Qty (150) of size h6.9 inches | w9.9 inches
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LINE ITEM plain_paper #2 EXHAUSTED
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
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name: Box #4 | %: 27.8 | volume: 13824 | used: 9978
Packing Qty (1419) of size h5.9 inches | w8.9 inches
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Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 248
Notice: Only variables should be assigned by reference in /home1/sotipro1/public_html/finalShipping/shipTest.php on line 254
name: Box #4 | %: 25.8 | volume: 13824 | used: 10257
Packing Qty (32) of size h5.9 inches | w8.9 inches
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OVERALL PERCENTAGE: 79.1 @ $20