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apps/web/src/wallboardLayout.ts

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+export const wallboardColumns = 24;
+export const wallboardRowsPerSlide = 13;
+
+export type WallboardPlacement = { columnStart: number; columnSpan: number; rowStart: number; rowSpan: number };
+
+function boundedInteger(value: unknown, fallback: number, minimum: number, maximum: number): number {
+  const number = Number(value);
+  if (!Number.isFinite(number)) return fallback;
+  return Math.min(maximum, Math.max(minimum, Math.floor(number)));
+}
+
+export function wallboardSlideIndex(y: unknown): number {
+  const row = boundedInteger(y, 0, 0, Number.MAX_SAFE_INTEGER);
+  return Math.floor(row / wallboardRowsPerSlide);
+}
+
+export function wallboardPlacement(layout: Record<string, unknown>): WallboardPlacement {
+  const columnStart = boundedInteger(layout.x, 0, 0, wallboardColumns - 1) + 1;
+  const row = boundedInteger(layout.y, 0, 0, Number.MAX_SAFE_INTEGER) % wallboardRowsPerSlide;
+  const requestedWidth = boundedInteger(layout.w, 6, 1, wallboardColumns);
+  const requestedHeight = boundedInteger(layout.h, 4, 1, wallboardRowsPerSlide);
+  return {
+    columnStart,
+    columnSpan: Math.min(requestedWidth, wallboardColumns - columnStart + 1),
+    rowStart: row + 1,
+    rowSpan: Math.min(requestedHeight, wallboardRowsPerSlide - row),
+  };
+}