Incidentally, this is Tents, game ID 10x10:acabc_acle_ffeckhad_e,2,2,3,0,4,1,3,1,3,1,5,0,3,1,2,2,1,3,1,2
The logic in detail:
Every AV must be adjacent to a bug, so only the spaces marked ? are legal spots for AVs:
ABCDEFGHIJ
r10 ?*?·?*?*?· 5
r9 *?·?**?*?· 0
r8 ?*?·??·?·· 3
r7 ??·?*?··?· 1
r6 **?·??·?*? 2
r5 ??··?*?·?· 2
r4 ?*?·?*??·· 1
r3 ·?···??*?· 3
r2 ···???*?*? 1
r1 ··?**??·?· 2
2230413131
Row 10 has 5 spaces for AVs and its checksum is 5, so all spaces must be AVs. I10 and C10 are each adjacent to exactly one bug and must be associated with them. A10 and G10 could have been associated with one of two bugs, but one of those was just claimed, so they must belong to A9 and F10 respectively. E10 belongs to E9 the same way. All spaces adjacent to AVs must not be AVs.
ABCDEFGHIJ
r10 V*<·V*<*<· 5
r9 *···**·*·· 0
r8 ?*?·??·?·· 3
r7 ??·?*?··?· 1
r6 **?·??·?*? 2
r5 ??··?*?·?· 2
r4 ?*?·?*??·· 1
r3 ·?···??*?· 3
r2 ···???*?*? 1
r1 ··?**??·?· 2
2230413131
F9 and H9 each have only one adjacent available space, so those spaces must be their AVs. All spaces adjacent to AVs must not be AVs. Column D's checksum is 0, so D2 and D7 must not be AVs.
ABCDEFGHIJ
r10 V*<·V*<*<· 5
r9 *···**·*·· 0
r8 ?*?··^·^·· 3
r7 ??··*····· 1
r6 **?·??·?*? 2
r5 ??··?*?·?· 2
r4 ?*?·?*??·· 1
r3 ·?···??*?· 3
r2 ····??*?*? 1
r1 ··?**??·?· 2
2230413131
E7 has only one adjacent available space, so E6 must be its AV. Spaces adjacent to E6 can't be AVs, which leaves the bug at F5 with only G5 available for its AV. G5 then eliminates G4, H4, and H6.
ABCDEFGHIJ
r10 V*<·V*<*<· 5
r9 *···**·*·· 0
r8 ?*?··^·^·· 3
r7 ??··*····· 1
r6 **?·^···*? 2
r5 ??···*<·?· 2
r4 ?*?·?*···· 1
r3 ·?···??*?· 3
r2 ····??*?*? 1
r1 ··?**??·?· 2
2230413131
Column E has two AVs, two spaces, and a checksum of 4, so the remaining spaces must be AVs, each belonging to its only adjacent bug. Eliminate spaces adjacent to AVs, and row 3 can be deduced from its checksum.
ABCDEFGHIJ
r10 V*<·V*<*<· 5
r9 *···**·*·· 0
r8 ?*?··^·^·· 3
r7 ??··*····· 1
r6 **?·^···*? 2
r5 ??···*<·?· 2
r4 ·*··>*···· 1
r3 ·^····X*X· 3
r2 ····V·*·*· 1
r1 ··?**·?·?· 2
2230413131
Keep eliminating adjacent spaces
and the rest of the grid falls into place:
Column J
Column I
Row 6
Column C
Row 1
Row 8
Row 7
Column A
Column B
The final layout:
ABCDEFGHIJ
r10 V*<·V*<*<· 5
r9 *···**·*·· 0
r8 ·*<··^·^·· 3
r7 V···*····· 1
r6 **··^···*< 2
r5 ·^···*<··· 2
r4 ·*··>*···· 1
r3 ·^····V*<· 3
r2 ····V·*·*· 1
r1 ··>**···^· 2
2230413131