local mfl, mce = math.floor, math.ceil local mmi, mma = math.min, math.max local pow2 = {1} for i = 2, 28 do pow2[i] = pow2[i - 1] * 2 end local SegTree = {} SegTree.updateAll = function(self) for i = self.stagenum - 1, 1, -1 do local cnt = pow2[i] for j = 0, cnt - 1 do self.stage[cnt + j] = self.func(self.stage[(cnt + j) * 2], self.stage[(cnt + j) * 2 + 1]) end end end SegTree.create = function(self, n, func, emptyvalue) self.func, self.emptyvalue = func, emptyvalue local stagenum, mul = 1, 1 self.stage = {} -- use 1D Tree (stage[], not stage[][]) while mul < n do mul, stagenum = mul * 2, stagenum + 1 end self.stagenum = stagenum for i = 1, mul * 2 - 1 do self.stage[i] = emptyvalue end for i = 1, n do self.stage[mul + i - 1] = i end self:updateAll() end SegTree.update = function(self, idx, force) idx = idx + pow2[self.stagenum] - 1 for i = self.stagenum - 1, 1, -1 do local dst = mfl(idx / 2) local rem = dst * 4 + 1 - idx self.stage[dst] = self.func(self.stage[idx], self.stage[rem]) if not force and self.stage[dst] ~= self.stage[idx] then break end idx = dst end end SegTree.new = function(n, func, emptyvalue) local obj = {} setmetatable(obj, {__index = SegTree}) obj:create(n, func, emptyvalue) return obj end local n, b, c = io.read("*n", "*n", "*n") local function getgcd(x, y) while 0 < x do x, y = y % x, x end return y end if 1 < getgcd(n, getgcd(b, c)) then print("INF") os.exit() end local inf = 1000000007*1000 local len = {} local asked = {} for i = 1, n do len[i] = inf asked[i] = false end do local z = b % n if z == 0 then z = n end len[z] = b z = c % n if z == 0 then z = n end if c < len[z] then len[z] = c end end if n < len[n] then len[n] = n end asked[n + 1] = true local function mergefunc(x, y) if asked[x] then return y elseif asked[y] then return x else return len[x] < len[y] and x or y end end local st = SegTree.new(n, mergefunc, n + 1) for i = 1, n do local src = st.stage[1] if asked[src] then break end if inf <= len[src] then break end asked[src] = true st:update(src, true) local dst = (src + b) % n if dst == 0 then dst = n end if len[src] + b < len[dst] then len[dst] = len[src] + b st:update(dst) end dst = (src + c) % n if dst == 0 then dst = n end if len[src] + c < len[dst] then len[dst] = len[src] + c st:update(dst) end end local ret = -1 for i = 1, n do -- print(i, len[i]) ret = ret + math.floor(len[i] / n) end print(ret)