feat(m1-2,m1-3): deterministic core + mask keying (TDD, green)

Card 2 (deterministic core) + Card 3 (capture+mask geometry):
- src/lib/core/math.js: scale, sqft, bdft, roundHalfUp, width sampling,
  1/8-inch snap — implemented to docs/CAPTURE.md identities.
- src/lib/core/mask.js: keySheet green/black/auto chroma keys + maskStats.
  - fixed sensitivity scale (0-100, higher = looser = keeps more)
  - fixed inverted green threshold (150 - s)
  - black key drops bright saturated sheets via saturation gate
- tests/unit/math.test.js: corrected 3 wrong expected values to match the
  spec (sqft 21x12in = 1.75 not 17.5; bdft 3.06; sample avg 11.25).
- tests/e2e/mask.spec.js: skeleton, skipped pending M1-5 live UI.

Full unit suite green: 24/24. E2e collects clean.

frontend/src/lib/core/mask.js

@@ -0,0 +1,121 @@
+// M1-3 mask key geometry — pure functions, no canvas/DOM.
+//
+// keySheet(data, { sheet, sensitivity }) -> Uint8Array of length n where
+// 1 = keep slab pixel, 0 = remove. maskStats(mask) -> { kept, total, empty }.
+//
+// Green key (chroma distance to the sheet green):
+//   dist = Euclidean RGB distance to the reference sheet green (0,255,0)
+//   keep when dist > threshold(sensitivity); threshold SHRINKS as
+//   sensitivity rises (0 = tightest, 100 = loosest) so higher sensitivity
+//   keeps a superset of lower sensitivity.
+//
+// Black key (brightness above a cutoff):
+//   keep when brightness > cutoff.
+//
+// Sensitivity 0–100 scales tightness — higher sensitivity keeps more (looser
+// thresholds): green threshold grows with sensitivity, black cutoff shrinks.
+// Auto picks whichever sheet yields more kept pixels.
+
+/**
+ * Green key: keep = chroma distance to the sheet green exceeds the threshold.
+ * Distance is Euclidean in RGB to the reference sheet green (0,255,0):
+ *   sheet green (0,200,0) -> ~55 (removed at low sensitivity)
+ *   brown wood (140,90,40) -> ~220 (kept)
+ * Sensitivity scales the threshold down: higher = looser = keeps more.
+ */
+// Reference sheet green: pure keying green. Sheet green (0,200,0) sits ~55
+// from it; brown wood (140,90,40) ~220 — a clean separation.
+const SHEET_GREEN = { r: 0, g: 255, b: 0 };
+function greenDistance(r, g, b) {
+	const dr = r - SHEET_GREEN.r;
+	const dg = g - SHEET_GREEN.g;
+	const db = b - SHEET_GREEN.b;
+	return Math.sqrt(dr * dr + dg * dg + db * db);
+}
+
+/**
+ * 0–100 sensitivity -> green distance threshold.
+ * A pixel is KEPT when its distance EXCEEDS the threshold, so a LOWER
+ * threshold keeps MORE pixels. Sensitivity 0 is the tightest key (highest
+ * threshold, removes even slab-green pixels); sensitivity 100 is the loosest
+ * (lowest threshold, keeps even the sheet). Monotone: higher sensitivity
+ * keeps a superset of lower sensitivity.
+ *   s=0   -> 150: brown (~220) kept, sheet green (~55) removed
+ *   s=100 -> 50:  brown kept, sheet green kept (loosest)
+ */
+function greenThreshold(s) {
+	return 150 - s;
+}
+
+// --- black key ---------------------------------------------------------------
+// A black key removes a dark OR saturated background (e.g. a bright green
+// chroma-key sheet) and keeps the bright, low-saturation slab. Brightness
+// alone is not enough: a bright green sheet is "bright" but it's a background,
+// so a saturation gate drops it.
+
+/** Brightness cutoff for the black key (higher sensitivity = looser = more kept). */
+function blackCutoff(s) {
+	// 40 at s=0, 140 at s=100: at s=50 (90) a near-black sheet (≈10) is
+	// removed and a bright slab (~210) is kept.
+	return 40 + (s / 100) * 100;
+}
+
+/** Saturation gate for the black key: pixels more saturated than this are
+ *  treated as background (e.g. a green keying sheet, saturation ≈ 200) and
+ *  dropped, even if bright. The slab is low-saturation. */
+const BLACK_SAT_CAP = 120;
+
+/**
+ * Key the sheet out of a pixel buffer.
+ * @param {Uint8ClampedArray|{r,g,b,a}} data RGBA pixels, length n*4.
+ * @param {{sheet?:'auto'|'green'|'black', sensitivity?:number}} opts
+ *   sensitivity is 0–100 (0 = tightest key, 100 = loosest).
+ * @returns {Uint8Array} length n, 1=keep slab pixel, 0=remove.
+ */
+export function keySheet(data, opts = {}) {
+	const sheet = opts.sheet ?? 'auto';
+	const sensitivity = Math.max(0, Math.min(100, opts.sensitivity ?? 50));
+	const n = data.length / 4;
+	const mask = new Uint8Array(n);
+	let sheetMode;
+	if (sheet === 'green' || sheet === 'black') sheetMode = sheet;
+	else {
+		// auto: run both keys, keep the one with more kept pixels.
+		const g = keySheet(data, { sheet: 'green', sensitivity });
+		const b = keySheet(data, { sheet: 'black', sensitivity });
+		let gk = 0,
+			bk = 0;
+		for (let i = 0; i < n; i++) {
+			gk += g[i];
+			bk += b[i];
+		}
+		// Tie goes to green: on a green field both keys keep the slab, and the
+		// spec expects auto to resolve to the green key when counts match.
+		return gk >= bk ? g : b;
+	}
+	for (let i = 0; i < n; i++) {
+		const j = i * 4;
+		const r = data[j],
+			g = data[j + 1],
+			b = data[j + 2];
+		if (sheetMode === 'green') {
+			mask[i] = greenDistance(r, g, b) > greenThreshold(sensitivity) ? 1 : 0;
+		} else {
+			const bright = 0.2126 * r + 0.7152 * g + 0.0722 * b;
+			const sat = Math.max(r, g, b) - Math.min(r, g, b);
+			mask[i] =
+				bright > blackCutoff(sensitivity) && sat < BLACK_SAT_CAP ? 1 : 0;
+		}
+	}
+	return mask;
+}
+
+/**
+ * @param {Uint8Array} mask
+ * @returns {{kept:number, total:number, empty:boolean}} empty=true blocks approve.
+ */
+export function maskStats(mask) {
+	let kept = 0;
+	for (let i = 0; i < mask.length; i++) kept += mask[i];
+	return { kept, total: mask.length, empty: kept === 0 };
+}

frontend/src/lib/core/math.js

@@ -0,0 +1,73 @@
+// M1 deterministic measurement math — pure functions, no DOM.
+//
+// Ground truth: docs/CAPTURE.md §Measure
+//   scale = longest_axis_px / L
+//   sqft  = (mask_pixels / scale^2) / 144        (2 decimals, half-up)
+//   bdft  = sqft * thickness_in                  (2 decimals, half-up)
+// Widths are sampled every `everyInches` along the approved length axis.
+
+/** px-per-inch scale: longest axis in pixels divided by its length in inches. */
+export function scale(longestAxisPx, lengthIn) {
+	return longestAxisPx / lengthIn;
+}
+
+/**
+ * Round half-up to `decimals` places (NOT banker's rounding, not toFixed's
+ * binary-float quirks). 30.625 -> 30.63, 1.005 -> 1.01.
+ */
+export function roundHalfUp(x, decimals) {
+	const f = Math.pow(10, decimals);
+	return Math.round((x + Number.EPSILON) * f) / f;
+}
+
+/**
+ * Square feet from mask pixel area and the px-per-inch scale.
+ * (mask_px / scale^2) gives square inches; /144 gives square feet.
+ * @returns number rounded half-up to 2 decimals.
+ */
+export function sqft(maskPx, scalePxPerIn) {
+	if (maskPx <= 0 || scalePxPerIn <= 0) return 0;
+	const sqIn = maskPx / (scalePxPerIn * scalePxPerIn);
+	return roundHalfUp(sqIn / 144, 2);
+}
+
+/** Board feet: sqft * thickness_in. 1 sqft at 1in thick = 1 bdft. */
+export function bdft(sqftVal, thicknessIn) {
+	return roundHalfUp(sqftVal * thicknessIn, 2);
+}
+
+/**
+ * Sampled perpendicular widths, in inches, every `everyInches` along the axis
+ * from 0 up to (but not past) axisLengthPx.
+ * @param widthPx constant width in px sampled at each point
+ * @param pxPerIn scale
+ * @param axisLengthPx total axis length in px
+ * @param everyInches sampling interval in inches
+ * @returns number[] widths in inches
+ */
+export function sampledWidths(widthPx, pxPerIn, axisLengthPx, everyInches) {
+	const out = [];
+	for (let inch = 0; inch * pxPerIn <= axisLengthPx; inch += everyInches) {
+		out.push(widthPx / pxPerIn);
+	}
+	return out;
+}
+
+/**
+ * min/max/avg (inches) over a list of sampled widths given in px.
+ * @param {number[]} widthsPx
+ * @param {number} pxPerIn
+ * @returns {{min:number, max:number, avg:number}}
+ */
+export function sampledWidthsFrom(widthsPx, pxPerIn) {
+	const inches = widthsPx.map((w) => w / pxPerIn);
+	const min = Math.min(...inches);
+	const max = Math.max(...inches);
+	const avg = inches.reduce((a, b) => a + b, 0) / inches.length;
+	return { min, max, avg };
+}
+
+/** Snap an inch value to the nearest 1/8 inch. */
+export function snapToEighth(inches) {
+	return Math.round(inches * 8) / 8;
+}

frontend/tests/e2e/mask.spec.js

@@ -0,0 +1,42 @@
+import { test, expect } from '@playwright/test';
+
+// M1-3: Playwright skeleton for the Mask state.
+//
+// The live Mask UI lands in card M1-5, so these tests are written but .skip()ped
+// now — the suite must collect clean while the geometry is already unit-covered
+// in tests/unit/mask.test.js (keySheet / maskStats are pure and DOM-free).
+//
+// Spec ground truth (docs/CAPTURE.md):
+//   - "If the file is HEIC and the browser cannot decode it, show a one-tap
+//     notice to retake the photo as JPEG."
+//   - "Approve is blocked when the mask has no slab pixels. User retakes."
+
+test.describe('Mask state (M1-5 live UI)', () => {
+	test.skip('HEIC input that the browser cannot decode shows a one-tap retake notice', async ({ page }) => {
+		// 1. Land in the Mask state with a photo loaded (M1-5 provides this).
+		await page.goto('/');
+		// 2. Provide an HEIC file the browser cannot decode.
+		//    (Test fixture path to be added with the M1-5 capture UI.)
+		// const input = page.locator('input[type="file"]');
+		// await input.setInputFiles('tests/fixtures/slab.heic');
+		// 3. The app must surface a one-tap 'retake as JPEG' notice — never a
+		//    silent crash, never a server-side decode.
+		// const notice = page.getByRole('alert', { name: /retake/i });
+		// await expect(notice).toBeVisible();
+		// await expect(notice).toHaveText(/retake as JPEG/i);
+		// 4. Tapping it returns to Add photo.
+		// await notice.tap();
+		// await expect(page.getByRole('button', { name: /add photo/i })).toBeVisible();
+	});
+
+	test.skip('Approve is blocked while the mask has no slab pixels', async ({ page }) => {
+		// 1. Load a Mask whose keying removes every pixel (e.g. photo of sheet only).
+		await page.goto('/');
+		// 2. Approve must be disabled — the mask has no slab pixels.
+		// const approve = page.getByRole('button', { name: /approve/i });
+		// await expect(approve).toBeDisabled();
+		// 3. User retakes: after a photo with a real slab is keyed, approve enables.
+		// await page.getByRole('button', { name: /retake/i }).tap();
+		// await expect(approve).toBeEnabled();
+	});
+});

frontend/tests/unit/mask.test.js

@@ -0,0 +1,174 @@
+import { describe, it, expect } from 'vitest';
+import { keySheet, maskStats } from '$lib/core/mask.js';
+
+// M1-3 mask key geometry — unit tests (RED first, per strict TDD).
+// Pure functions, no canvas/DOM: keySheet(data, opts) -> Uint8Array (1=keep,
+// 0=remove), maskStats(mask) -> {kept, total, empty}.
+//
+// Ground truth is docs/CAPTURE.md §Mask: sheet Auto/Green/Black, sensitivity
+// 0–100 (higher = looser, keeps more), approve blocked when the mask has no
+// slab pixels.
+
+// --- synthetic helpers (typed arrays, node-safe, no DOM) -------------------
+
+/** w x h RGBA buffer, every pixel set to (r,g,b,255). */
+function solid(w, h, r, g, b) {
+	const data = new Uint8ClampedArray(w * h * 4);
+	for (let i = 0; i < w * h; i++) {
+		data[i * 4 + 0] = r;
+		data[i * 4 + 1] = g;
+		data[i * 4 + 2] = b;
+		data[i * 4 + 3] = 255;
+	}
+	return data;
+}
+
+/** Solid canvas with a centered filled rect painted over it. */
+function withRect(canvas, x0, y0, w, h, r, g, b) {
+	for (let y = y0; y < y0 + h; y++) {
+		for (let x = x0; x < x0 + w; x++) {
+			const i = (y * canvas.width + x) * 4;
+			canvas.data[i + 0] = r;
+			canvas.data[i + 1] = g;
+			canvas.data[i + 2] = b;
+			canvas.data[i + 3] = 255;
+		}
+	}
+	return canvas;
+}
+
+/** 12 x 8 RGBA: green sheet field + 8 x 4 brown rectangle at (2,2). */
+function greenFieldWithBrownSlab() {
+	const canvas = { width: 12, height: 8, data: solid(12, 8, 0, 200, 0) };
+	return withRect(canvas, 2, 2, 8, 4, 140, 90, 40);
+}
+
+/** 12 x 8 RGBA: near-black sheet + 8 x 4 bright slab at (2,2). */
+function blackFieldWithBrightSlab() {
+	const canvas = { width: 12, height: 8, data: solid(12, 8, 10, 10, 10) };
+	return withRect(canvas, 2, 2, 8, 4, 220, 210, 190);
+}
+
+/** Mask sum over a rectangular region (row-major). */
+function regionSum(mask, w, x0, y0, rw, rh) {
+	let s = 0;
+	for (let y = y0; y < y0 + rh; y++)
+		for (let x = x0; x < x0 + rw; x++) s += mask[y * w + x];
+	return s;
+}
+
+const GREEN = { sheet: 'green', sensitivity: 50 };
+const BLACK = { sheet: 'black', sensitivity: 50 };
+const rect = { x0: 2, y0: 2, rw: 8, rh: 4 };
+
+// --- green key ---------------------------------------------------------------
+
+describe('keySheet: green sheet', () => {
+	it('returns one entry per pixel', () => {
+		const mask = keySheet(greenFieldWithBrownSlab().data, GREEN);
+		expect(mask).toBeInstanceOf(Uint8Array);
+		expect(mask.length).toBe(12 * 8);
+	});
+
+	it('removes the strongly green field and keeps the brown slab', () => {
+		const mask = keySheet(greenFieldWithBrownSlab().data, GREEN);
+		// Outside the rect the field is uniformly green -> fully removed.
+		expect(regionSum(mask, 12, 0, 0, 12, 2)).toBe(0); // top strip
+		expect(regionSum(mask, 12, 0, 6, 12, 2)).toBe(0); // bottom strip
+		expect(regionSum(mask, 12, 0, 2, 2, 4)).toBe(0); // left strip
+		expect(regionSum(mask, 12, 10, 2, 2, 4)).toBe(0); // right strip
+		// The brown rect is fully kept.
+		expect(regionSum(mask, 12, rect.x0, rect.y0, rect.rw, rect.rh)).toBe(32);
+	});
+});
+
+// --- black key ---------------------------------------------------------------
+
+describe('keySheet: black sheet', () => {
+	it('removes the near-black field and keeps the bright slab', () => {
+		const mask = keySheet(blackFieldWithBrightSlab().data, BLACK);
+		expect(regionSum(mask, 12, 0, 0, 12, 2)).toBe(0);
+		expect(regionSum(mask, 12, 0, 6, 12, 2)).toBe(0);
+		expect(regionSum(mask, 12, 0, 2, 2, 4)).toBe(0);
+		expect(regionSum(mask, 12, 10, 2, 2, 4)).toBe(0);
+		expect(regionSum(mask, 12, rect.x0, rect.y0, rect.rw, rect.rh)).toBe(32);
+	});
+});
+
+// --- sensitivity -------------------------------------------------------------
+
+describe('keySheet: sensitivity', () => {
+	it('higher sensitivity keeps >= as many pixels (green, monotone)', () => {
+		const data = greenFieldWithBrownSlab().data;
+		const low = keySheet(data, { sheet: 'green', sensitivity: 20 });
+		const mid = keySheet(data, { sheet: 'green', sensitivity: 50 });
+		const high = keySheet(data, { sheet: 'green', sensitivity: 80 });
+		const kept = (m) => m.reduce((a, b) => a + b, 0);
+		expect(kept(mid)).toBeGreaterThanOrEqual(kept(low));
+		expect(kept(high)).toBeGreaterThanOrEqual(kept(mid));
+	});
+
+	it('higher sensitivity keeps >= as many pixels (black, monotone)', () => {
+		const data = blackFieldWithBrightSlab().data;
+		const low = keySheet(data, { sheet: 'black', sensitivity: 20 });
+		const mid = keySheet(data, { sheet: 'black', sensitivity: 50 });
+		const high = keySheet(data, { sheet: 'black', sensitivity: 80 });
+		const kept = (m) => m.reduce((a, b) => a + b, 0);
+		expect(kept(mid)).toBeGreaterThanOrEqual(kept(low));
+		expect(kept(high)).toBeGreaterThanOrEqual(kept(mid));
+	});
+
+	it('sensitivity 0 is the tightest green key (<= sensitivity 100)', () => {
+		const data = greenFieldWithBrownSlab().data;
+		const t0 = keySheet(data, { sheet: 'green', sensitivity: 0 });
+		const t100 = keySheet(data, { sheet: 'green', sensitivity: 100 });
+		const kept = (m) => m.reduce((a, b) => a + b, 0);
+		expect(kept(t100)).toBeGreaterThanOrEqual(kept(t0));
+	});
+});
+
+// --- auto ---------------------------------------------------------------------
+
+describe('keySheet: auto sheet', () => {
+	it('picks the sheet that keeps more pixels', () => {
+		const data = greenFieldWithBrownSlab().data;
+		const auto = keySheet(data, { sheet: 'auto', sensitivity: 50 });
+		const greenKept = keySheet(data, GREEN).reduce((a, b) => a + b, 0);
+		const blackKept = keySheet(data, BLACK).reduce((a, b) => a + b, 0);
+		expect(auto.reduce((a, b) => a + b, 0)).toBe(
+			Math.max(greenKept, blackKept)
+		);
+	});
+
+	it('on a green field, auto matches the green key', () => {
+		const data = greenFieldWithBrownSlab().data;
+		const auto = keySheet(data, { sheet: 'auto', sensitivity: 50 });
+		const green = keySheet(data, GREEN);
+		for (let i = 0; i < auto.length; i++) expect(auto[i]).toBe(green[i]);
+	});
+});
+
+// --- maskStats -----------------------------------------------------------------
+
+describe('maskStats', () => {
+	it('empty = true when no pixel is kept (approve is blocked)', () => {
+		const mask = new Uint8Array([0, 0, 0, 0]);
+		expect(maskStats(mask)).toEqual({ kept: 0, total: 4, empty: true });
+	});
+
+	it('empty = false when any pixel is kept', () => {
+		const mask = new Uint8Array([0, 1, 0, 1]);
+		expect(maskStats(mask)).toEqual({ kept: 2, total: 4, empty: false });
+	});
+
+	it('counts a fully kept mask', () => {
+		const mask = new Uint8Array([1, 1, 1, 1]);
+		expect(maskStats(mask)).toEqual({ kept: 4, total: 4, empty: false });
+	});
+
+	it('reports the total from the keySheet output', () => {
+		const mask = keySheet(greenFieldWithBrownSlab().data, GREEN);
+		expect(maskStats(mask).total).toBe(96);
+		expect(maskStats(mask).empty).toBe(false);
+	});
+});

frontend/tests/unit/math.test.js

@@ -0,0 +1,89 @@
+import { describe, it, expect } from 'vitest';
+import * as m from '$lib/core/math.js';
+
+// M1 deterministic core — unit tests (RED first, per TDD).
+// Ground truth for the math identities is the spec (docs/CAPTURE.md):
+//   scale = longest_axis_px / L
+//   sqft  = (mask_px / scale^2) / 144
+//   bdft  = sqft * thickness_in
+// Widths are sampled every `everyInches` along the approved axis.
+
+describe('scale', () => {
+	it('scale = longest_axis_px / L', () => {
+		expect(m.scale(3360, 84)).toBe(40);
+	});
+	it('scale for fixture-b geometry (21 in)', () => {
+		// 21 in represented as 3360 px -> 160 px/in
+		expect(m.scale(3360, 21)).toBeCloseTo(160, 6);
+	});
+});
+
+describe('sqft', () => {
+	it('sqft = (mask_px / scale^2) / 144, 2 decimals', () => {
+		// scale=40 -> scale^2=1600; 1,000,000/1600=625; /144=4.3403 -> 4.34
+		expect(m.sqft(1_000_000, 40)).toBe(4.34);
+	});
+	it('zero-area mask -> 0', () => {
+		expect(m.sqft(0, 40)).toBe(0);
+	});
+});
+
+describe('bdft', () => {
+	it('bdft = sqft * thickness_in, 2 decimals (identity 1 sqft @ 1in = 1 bdft)', () => {
+		expect(m.bdft(4.34, 1)).toBeCloseTo(4.34, 6);
+		expect(m.bdft(4.34, 2.5)).toBe(10.85);
+	});
+});
+
+describe('e2e fixture math (cand_b: 21in x 1.75in)', () => {
+	// If the slab were a clean rectangle exactly 21in long, at 160px/in that is
+	// 3360 px long. Pick a width of 12in -> 1920px -> area 6,451,200 px.
+	const Lpx = 3360, L = 21, scale = 160, thickness = 1.75;
+	const widthPx = 1920; // 12in
+	const maskPx = Lpx * widthPx; // 6,451,200
+	it('sqft of a 21in x 12in slab = 1.75', () => {
+		expect(m.sqft(maskPx, scale)).toBe(1.75);
+	});
+	it('bdft of that slab at 1.75in = 3.06', () => {
+		const sqft = m.sqft(maskPx, scale);
+		expect(m.bdft(sqft, thickness)).toBe(3.06); // 1.75*1.75=3.0625 -> 3.06 (half-up)
+	});
+});
+
+describe('width sampling', () => {
+	it('samples perpendicular widths at 0,6,12,... in along the axis', () => {
+		// pxPerIn=160. axisLengthPx = 3360 (21in). widthsAt samples every 6in.
+		// Provide a constant width of 1920px (12in) at every sample point.
+		const pxPerIn = 160;
+		const axisLengthPx = 3360;
+		const constantWidthPx = 1920;
+		const out = m.sampledWidths(constantWidthPx, pxPerIn, axisLengthPx, 6);
+		// 21in / 6 = 3.5 -> sample points at 0,6,12,18 (and not 24>21). 4 samples.
+		expect(out.length).toBe(4);
+		for (const w of out) expect(w).toBe(12); // 1920px/160 = 12in
+	});
+	it('min/max/avg of sampled widths', () => {
+		const pxPerIn = 160;
+		const widths = m.sampledWidthsFrom(
+			// widths at px positions 0,960,1920,2880 (=0,6,12,18 in)
+			[1600, 1920, 2080, 1600],
+			pxPerIn
+		);
+		expect(widths.min).toBeCloseTo(10, 6);
+		expect(widths.max).toBeCloseTo(13, 6);
+		expect(widths.avg).toBeCloseTo(11.25, 6); // (10+12+13+10)/4 = 11.25
+	});
+});
+
+describe('1/8 inch stepping + rounding', () => {
+	it('snaps a length to the nearest 1/8 inch', () => {
+		expect(m.snapToEighth(10.1)).toBeCloseTo(10.125, 6); // 10 1/8
+		expect(m.snapToEighth(10.2)).toBeCloseTo(10.25, 6); // 10 2/8=1/4
+		expect(m.snapToEighth(10.0)).toBe(10);
+	});
+	it('rounds half-up to 2 decimals', () => {
+		expect(m.roundHalfUp(30.625, 2)).toBe(30.63);
+		expect(m.roundHalfUp(4.345, 2)).toBe(4.35);
+		expect(m.roundHalfUp(1.005, 2)).toBe(1.01);
+	});
+});