function add_network_option( $network_id, $option, $value ) {
	global $wpdb;

	if ( $network_id && ! is_numeric( $network_id ) ) {
		return false;
	}

	$network_id = (int) $network_id;

	// Fallback to the current network if a network ID is not specified.
	if ( ! $network_id ) {
		$network_id = get_current_network_id();
	}

	wp_protect_special_option( $option );

	/**
	 * Filters the value of a specific network option before it is added.
	 *
	 * The dynamic portion of the hook name, `$option`, refers to the option name.
	 *
	 * @since 2.9.0 As 'pre_add_site_option_' . $key
	 * @since 3.0.0
	 * @since 4.4.0 The `$option` parameter was added.
	 * @since 4.7.0 The `$network_id` parameter was added.
	 *
	 * @param mixed  $value      Value of network option.
	 * @param string $option     Option name.
	 * @param int    $network_id ID of the network.
	 */
	$value = apply_filters( "pre_add_site_option_{$option}", $value, $option, $network_id );

	$notoptions_key = "$network_id:notoptions";

	if ( ! is_multisite() ) {
		$result = add_option( $option, $value, '', 'no' );
	} else {
		$cache_key = "$network_id:$option";

		// Make sure the option doesn't already exist. We can check the 'notoptions' cache before we ask for a db query
		$notoptions = wp_cache_get( $notoptions_key, 'site-options' );
		if ( ! is_array( $notoptions ) || ! isset( $notoptions[ $option ] ) ) {
			if ( false !== get_network_option( $network_id, $option, false ) ) {
				return false;
			}
		}

		$value = sanitize_option( $option, $value );

		$serialized_value = maybe_serialize( $value );
		$result           = $wpdb->insert(
			$wpdb->sitemeta,
			array(
				'site_id'    => $network_id,
				'meta_key'   => $option,
				'meta_value' => $serialized_value,
			)
		);

		if ( ! $result ) {
			return false;
		}

		wp_cache_set( $cache_key, $value, 'site-options' );

		// This option exists now
		$notoptions = wp_cache_get( $notoptions_key, 'site-options' ); // yes, again... we need it to be fresh
		if ( is_array( $notoptions ) && isset( $notoptions[ $option ] ) ) {
			unset( $notoptions[ $option ] );
			wp_cache_set( $notoptions_key, $notoptions, 'site-options' );
		}
	}

	if ( $result ) {

		/**
		 * Fires after a specific network option has been successfully added.
		 *
		 * The dynamic portion of the hook name, `$option`, refers to the option name.
		 *
		 * @since 2.9.0 As "add_site_option_{$key}"
		 * @since 3.0.0
		 * @since 4.7.0 The `$network_id` parameter was added.
		 *
		 * @param string $option     Name of the network option.
		 * @param mixed  $value      Value of the network option.
		 * @param int    $network_id ID of the network.
		 */
		do_action( "add_site_option_{$option}", $option, $value, $network_id );

		/**
		 * Fires after a network option has been successfully added.
		 *
		 * @since 3.0.0
		 * @since 4.7.0 The `$network_id` parameter was added.
		 *
		 * @param string $option     Name of the network option.
		 * @param mixed  $value      Value of the network option.
		 * @param int    $network_id ID of the network.
		 */
		do_action( 'add_site_option', $option, $value, $network_id );

		return true;
	}

	return false;
}