diff --git a/program/rust/src/validator.rs b/program/rust/src/validator.rs
index 8f347621..2591113b 100644
--- a/program/rust/src/validator.rs
+++ b/program/rust/src/validator.rs
@@ -30,11 +30,10 @@ use {
         transaction_context::TransactionAccount,
     },
     std::{
-        collections::{
+        cmp::max, collections::{
             BTreeMap,
             HashMap,
-        },
-        mem::size_of,
+        }, mem::size_of
     },
 };
 
@@ -159,12 +158,12 @@ fn checked_load_price_account(price_account_info: &[u8]) -> Option<&PriceAccount
 
 pub const PUBLISHER_CAPS_DENOMINATOR: u64 = 1_000_000;
 
-pub fn compute_publisher_stake_caps(accounts: Vec<&[u8]>, timestamp: i64) -> Vec<u8> {
+pub fn compute_publisher_stake_caps(accounts: Vec<&[u8]>, timestamp: i64, z : u64) -> Vec<u8> {
     let mut publisher_caps: BTreeMap<Pubkey, u64> = BTreeMap::new();
     for account in accounts {
         if let Some(price_account) = checked_load_price_account(account) {
             let cap: u64 = PUBLISHER_CAPS_DENOMINATOR
-                .checked_div(u64::from(price_account.num_))
+                .checked_div(max(u64::from(price_account.num_), z))
                 .unwrap_or(0);
             for i in 0..(price_account.num_ as usize) {
                 publisher_caps