Issue:
Bug: [FEATURE]: Add support for updating elimination config



### Feature Description

Add a new route for updating elimination config in the database when it is toggled.

### Possible Implementation

Add a new route for updating elimination config in the database when it is toggled.

### Have you spent some time checking if this feature request has been raised before?

- [x] I checked and didn't find a similar issue

### Have you read the Contributing Guidelines?

- [x] I have read the [Contributing Guidelines](https://github.com/juspay/hyperswitch/blob/main/docs/CONTRIBUTING.md)

### Are you willing to submit a PR?

Yes, I am willing to submit a PR!

Pull request description:
## Type of Change
<!-- Put an `x` in the boxes that apply -->

- [ ] Bugfix
- [x] New feature
- [ ] Enhancement
- [ ] Refactoring
- [ ] Dependency updates
- [ ] Documentation
- [ ] CI/CD

## Description
<!-- Describe your changes in detail -->
Add a new route for updating the elimination routing config when it is toggled

### Additional Changes

- [x] This PR modifies the API contract
- [ ] This PR modifies the database schema
- [ ] This PR modifies application configuration/environment variables

<!--
Provide links to the files with corresponding changes.

Following are the paths where you can find config files:
1. `config`
2. `crates/router/src/configs`
3. `loadtest/config`
-->


## Motivation and Context
<!--
Why is this change required? What problem does it solve?
If it fixes an open issue, please link to the issue here.

If you don't have an issue, we'd recommend starting with one first so the PR
can focus on the implementation (unless it is an obvious bug or documentation fix
that will have little conversation).
-->
This PR closes #7939 

## How did you test it?
<!--
Did you write an integration/unit/API test to verify the code changes?
Or did you test this change manually (provide relevant screenshots)?
-->
1. Toggle elimination routing
request
```
curl --location --request POST 'http://localhost:8080/account/merchant_174600xxxx/business_profile/pro_h9ecR6baV3b1eDvfxxxB/dynamic_routing/elimination/toggle?enable=metrics' \
--header 'Content-Type: application/json' \
--header 'Accept: application/json' \
--header 'api-key: dev_YWu8PFM4pqgBjknNsvHimHsB*******'
```
response
```
{
    "id": "routing_yfRG8iqWlBreVTVlnYwB",
    "profile_id": "pro_h9ecR6baV3b1eDvfxxxB",
    "name": "Elimination based dynamic routing algorithm",
    "kind": "dynamic",
    "description": "",
    "created_at": 1746007881,
    "modified_at": 1746007881,
    "algorithm_for": "payment"
}
```
2. Update elimination routing config
request
```
curl --location --request PATCH 'http://localhost:8080/account/merchant_174600xxxx/business_profile/pro_h9ecR6baV3b1eDvfxxxB/dynamic_routing/elimination/config/routing_yfRG8iqWlBreVTVlxxxB' \
--header 'api-key: dev_YWu8PFM4pqgBjknNsvHimHsBW1O9CBVy3*******' \
--header 'Content-Type: application/json' \
--data '{
  "params": [
    "Currency",
    "CardBin",
    "Country",
    "PaymentMethod",
    "PaymentMethodType",
    "AuthenticationType",
    "CardNetwork"
  ]
}'
```
response
```
{
    "id": "routing_YYu14QIGKRrWgJ8QllpR",
    "profile_id": "pro_h9ecR6baV3b1eDvfxxxB",
    "name": "Elimination based dynamic routing algorithm",
    "kind": "dynamic",
    "description": "",
    "created_at": 1746008246,
    "modified_at": 1746008246,
    "algorithm_for": "payment"
}
```
## Checklist
<!-- Put an `x` in the boxes that apply -->

- [x] I formatted the code `cargo +nightly fmt --all`
- [x] I addressed lints thrown by `cargo clippy`
- [x] I reviewed the submitted code
- [ ] I added unit tests for my changes where possible


Testing:

1. Toggle elimination routing
request
```
curl --location --request POST 'http://localhost:8080/account/merchant_174600xxxx/business_profile/pro_h9ecR6baV3b1eDvfxxxB/dynamic_routing/elimination/toggle?enable=metrics' \
--header 'Content-Type: application/json' \
--header 'Accept: application/json' \
--header 'api-key: dev_YWu8PFM4pqgBjknNsvHimHsB*******'
```
response
```
{
    "id": "routing_yfRG8iqWlBreVTVlnYwB",
    "profile_id": "pro_h9ecR6baV3b1eDvfxxxB",
    "name": "Elimination based dynamic routing algorithm",
    "kind": "dynamic",
    "description": "",
    "created_at": 1746007881,
    "modified_at": 1746007881,
    "algorithm_for": "payment"
}
```
2. Update elimination routing config
request
```
curl --location --request PATCH 'http://localhost:8080/account/merchant_174600xxxx/business_profile/pro_h9ecR6baV3b1eDvfxxxB/dynamic_routing/elimination/config/routing_yfRG8iqWlBreVTVlxxxB' \
--header 'api-key: dev_YWu8PFM4pqgBjknNsvHimHsBW1O9CBVy3*******' \
--header 'Content-Type: application/json' \
--data '{
  "params": [
    "Currency",
    "CardBin",
    "Country",
    "PaymentMethod",
    "PaymentMethodType",
    "AuthenticationType",
    "CardNetwork"
  ]
}'
```
response
```
{
    "id": "routing_YYu14QIGKRrWgJ8QllpR",
    "profile_id": "pro_h9ecR6baV3b1eDvfxxxB",
    "name": "Elimination based dynamic routing algorithm",
    "kind": "dynamic",
    "description": "",
    "created_at": 1746008246,
    "modified_at": 1746008246,
    "algorithm_for": "payment"
}
```

Patch:
diff --git a/crates/api_models/src/events/routing.rs b/crates/api_models/src/events/routing.rs
index 122d1f8d3c8..c9fa118f596 100644
--- a/crates/api_models/src/events/routing.rs
+++ b/crates/api_models/src/events/routing.rs
@@ -2,9 +2,10 @@ use common_utils::events::{ApiEventMetric, ApiEventsType};
 
 use crate::routing::{
     ContractBasedRoutingPayloadWrapper, ContractBasedRoutingSetupPayloadWrapper,
-    DynamicRoutingUpdateConfigQuery, LinkedRoutingConfigRetrieveResponse, MerchantRoutingAlgorithm,
-    ProfileDefaultRoutingConfig, RoutingAlgorithmId, RoutingConfigRequest, RoutingDictionaryRecord,
-    RoutingKind, RoutingLinkWrapper, RoutingPayloadWrapper, RoutingRetrieveLinkQuery,
+    DynamicRoutingUpdateConfigQuery, EliminationRoutingPayloadWrapper,
+    LinkedRoutingConfigRetrieveResponse, MerchantRoutingAlgorithm, ProfileDefaultRoutingConfig,
+    RoutingAlgorithmId, RoutingConfigRequest, RoutingDictionaryRecord, RoutingKind,
+    RoutingLinkWrapper, RoutingPayloadWrapper, RoutingRetrieveLinkQuery,
     RoutingRetrieveLinkQueryWrapper, RoutingRetrieveQuery, RoutingVolumeSplitWrapper,
     SuccessBasedRoutingConfig, SuccessBasedRoutingPayloadWrapper, ToggleDynamicRoutingQuery,
     ToggleDynamicRoutingWrapper,
@@ -98,6 +99,12 @@ impl ApiEventMetric for SuccessBasedRoutingPayloadWrapper {
     }
 }
 
+impl ApiEventMetric for EliminationRoutingPayloadWrapper {
+    fn get_api_event_type(&self) -> Option<ApiEventsType> {
+        Some(ApiEventsType::Routing)
+    }
+}
+
 impl ApiEventMetric for ContractBasedRoutingPayloadWrapper {
     fn get_api_event_type(&self) -> Option<ApiEventsType> {
         Some(ApiEventsType::Routing)
diff --git a/crates/api_models/src/routing.rs b/crates/api_models/src/routing.rs
index a683e3343aa..bf03a53c27b 100644
--- a/crates/api_models/src/routing.rs
+++ b/crates/api_models/src/routing.rs
@@ -828,18 +828,42 @@ pub struct EliminationAnalyserConfig {
     pub bucket_leak_interval_in_secs: Option<u64>,
 }
 
+impl EliminationAnalyserConfig {
+    pub fn update(&mut self, new: Self) {
+        if let Some(bucket_size) = new.bucket_size {
+            self.bucket_size = Some(bucket_size)
+        }
+        if let Some(bucket_leak_interval_in_secs) = new.bucket_leak_interval_in_secs {
+            self.bucket_leak_interval_in_secs = Some(bucket_leak_interval_in_secs)
+        }
+    }
+}
+
 impl Default for EliminationRoutingConfig {
     fn default() -> Self {
         Self {
             params: Some(vec![DynamicRoutingConfigParams::PaymentMethod]),
             elimination_analyser_config: Some(EliminationAnalyserConfig {
                 bucket_size: Some(5),
-                bucket_leak_interval_in_secs: Some(2),
+                bucket_leak_interval_in_secs: Some(60),
             }),
         }
     }
 }
 
+impl EliminationRoutingConfig {
+    pub fn update(&mut self, new: Self) {
+        if let Some(params) = new.params {
+            self.params = Some(params)
+        }
+        if let Some(new_config) = new.elimination_analyser_config {
+            self.elimination_analyser_config
+                .as_mut()
+                .map(|config| config.update(new_config));
+        }
+    }
+}
+
 #[derive(serde::Serialize, serde::Deserialize, Debug, Clone, ToSchema)]
 pub struct SuccessBasedRoutingConfig {
     pub params: Option<Vec<DynamicRoutingConfigParams>>,
@@ -906,6 +930,13 @@ pub struct SuccessBasedRoutingPayloadWrapper {
     pub profile_id: common_utils::id_type::ProfileId,
 }
 
+#[derive(Debug, Clone, serde::Serialize, serde::Deserialize)]
+pub struct EliminationRoutingPayloadWrapper {
+    pub updated_config: EliminationRoutingConfig,
+    pub algorithm_id: common_utils::id_type::RoutingId,
+    pub profile_id: common_utils::id_type::ProfileId,
+}
+
 #[derive(Debug, Clone, serde::Serialize, serde::Deserialize)]
 pub struct ContractBasedRoutingPayloadWrapper {
     pub updated_config: ContractBasedRoutingConfig,
diff --git a/crates/router/src/core/routing.rs b/crates/router/src/core/routing.rs
index 4487dd5a85d..25a1838e95e 100644
--- a/crates/router/src/core/routing.rs
+++ b/crates/router/src/core/routing.rs
@@ -16,6 +16,7 @@ use error_stack::ResultExt;
 #[cfg(all(feature = "v1", feature = "dynamic_routing"))]
 use external_services::grpc_client::dynamic_routing::{
     contract_routing_client::ContractBasedDynamicRouting,
+    elimination_based_client::EliminationBasedRouting,
     success_rate_client::SuccessBasedDynamicRouting,
 };
 use hyperswitch_domain_models::{mandates, payment_address};
@@ -1266,7 +1267,10 @@ pub async fn toggle_specific_dynamic_routing(
 ) -> RouterResponse<routing_types::RoutingDictionaryRecord> {
     metrics::ROUTING_CREATE_REQUEST_RECEIVED.add(
         1,
-        router_env::metric_attributes!(("profile_id", profile_id.clone())),
+        router_env::metric_attributes!(
+            ("profile_id", profile_id.clone()),
+            ("algorithm_type", dynamic_routing_type.to_string())
+        ),
     );
     let db = state.store.as_ref();
     let key_manager_state = &(&state).into();
@@ -1396,7 +1400,13 @@ pub async fn success_based_routing_update_configs(
 ) -> RouterResponse<routing_types::RoutingDictionaryRecord> {
     metrics::ROUTING_UPDATE_CONFIG_FOR_PROFILE.add(
         1,
-        router_env::metric_attributes!(("profile_id", profile_id.clone())),
+        router_env::metric_attributes!(
+            ("profile_id", profile_id.clone()),
+            (
+                "algorithm_type",
+                routing::DynamicRoutingType::SuccessRateBasedRouting.to_string()
+            )
+        ),
     );
     let db = state.store.as_ref();
 
@@ -1468,9 +1478,109 @@ pub async fn success_based_routing_update_configs(
                     state.get_grpc_headers(),
                 )
                 .await
-                .change_context(errors::ApiErrorResponse::GenericNotFoundError {
-                    message: "Failed to invalidate the routing keys".to_string(),
-                })
+                .change_context(errors::ApiErrorResponse::InternalServerError)
+                .attach_printable("Failed to invalidate the routing keys")
+        })
+        .await
+        .transpose()?;
+
+    Ok(service_api::ApplicationResponse::Json(new_record))
+}
+
+#[cfg(all(feature = "v1", feature = "dynamic_routing"))]
+pub async fn elimination_routing_update_configs(
+    state: SessionState,
+    request: routing_types::EliminationRoutingConfig,
+    algorithm_id: common_utils::id_type::RoutingId,
+    profile_id: common_utils::id_type::ProfileId,
+) -> RouterResponse<routing_types::RoutingDictionaryRecord> {
+    metrics::ROUTING_UPDATE_CONFIG_FOR_PROFILE.add(
+        1,
+        router_env::metric_attributes!(
+            ("profile_id", profile_id.clone()),
+            (
+                "algorithm_type",
+                routing::DynamicRoutingType::EliminationRouting.to_string()
+            )
+        ),
+    );
+
+    let db = state.store.as_ref();
+
+    let dynamic_routing_algo_to_update = db
+        .find_routing_algorithm_by_profile_id_algorithm_id(&profile_id, &algorithm_id)
+        .await
+        .to_not_found_response(errors::ApiErrorResponse::ResourceIdNotFound)?;
+
+    let mut config_to_update: routing::EliminationRoutingConfig = dynamic_routing_algo_to_update
+        .algorithm_data
+        .parse_value::<routing::EliminationRoutingConfig>("EliminationRoutingConfig")
+        .change_context(errors::ApiErrorResponse::InternalServerError)
+        .attach_printable(
+            "unable to deserialize algorithm data from routing table into EliminationRoutingConfig",
+        )?;
+
+    config_to_update.update(request);
+
+    let updated_algorithm_id = common_utils::generate_routing_id_of_default_length();
+    let timestamp = common_utils::date_time::now();
+    let algo = RoutingAlgorithm {
+        algorithm_id: updated_algorithm_id,
+        profile_id: dynamic_routing_algo_to_update.profile_id,
+        merchant_id: dynamic_routing_algo_to_update.merchant_id,
+        name: dynamic_routing_algo_to_update.name,
+        description: dynamic_routing_algo_to_update.description,
+        kind: dynamic_routing_algo_to_update.kind,
+        algorithm_data: serde_json::json!(config_to_update),
+        created_at: timestamp,
+        modified_at: timestamp,
+        algorithm_for: dynamic_routing_algo_to_update.algorithm_for,
+    };
+
+    let record = db
+        .insert_routing_algorithm(algo)
+        .await
+        .change_context(errors::ApiErrorResponse::InternalServerError)
+        .attach_printable("Unable to insert record in routing algorithm table")?;
+
+    // redact cache for elimination routing configs
+    let cache_key = format!(
+        "{}_{}",
+        profile_id.get_string_repr(),
+        algorithm_id.get_string_repr()
+    );
+    let cache_entries_to_redact = vec![cache::CacheKind::EliminationBasedDynamicRoutingCache(
+        cache_key.into(),
+    )];
+
+    cache::redact_from_redis_and_publish(
+        state.store.get_cache_store().as_ref(),
+        cache_entries_to_redact,
+    )
+    .await
+    .map_err(|e| logger::error!("unable to publish into the redact channel for evicting the elimination routing config cache {e:?}")).ok();
+
+    let new_record = record.foreign_into();
+
+    metrics::ROUTING_UPDATE_CONFIG_FOR_PROFILE_SUCCESS_RESPONSE.add(
+        1,
+        router_env::metric_attributes!(("profile_id", profile_id.clone())),
+    );
+
+    state
+        .grpc_client
+        .dynamic_routing
+        .elimination_based_client
+        .as_ref()
+        .async_map(|er_client| async {
+            er_client
+                .invalidate_elimination_bucket(
+                    profile_id.get_string_repr().into(),
+                    state.get_grpc_headers(),
+                )
+                .await
+                .change_context(errors::ApiErrorResponse::InternalServerError)
+                .attach_printable("Failed to invalidate the elimination routing keys")
         })
         .await
         .transpose()?;
@@ -1683,7 +1793,13 @@ pub async fn contract_based_routing_update_configs(
 ) -> RouterResponse<routing_types::RoutingDictionaryRecord> {
     metrics::ROUTING_UPDATE_CONFIG_FOR_PROFILE.add(
         1,
-        router_env::metric_attributes!(("profile_id", profile_id.get_string_repr().to_owned())),
+        router_env::metric_attributes!(
+            ("profile_id", profile_id.get_string_repr().to_owned()),
+            (
+                "algorithm_type",
+                routing::DynamicRoutingType::ContractBasedRouting.to_string()
+            )
+        ),
     );
     let db = state.store.as_ref();
     let key_manager_state = &(&state).into();
@@ -1794,9 +1910,8 @@ pub async fn contract_based_routing_update_configs(
                     state.get_grpc_headers(),
                 )
                 .await
-                .change_context(errors::ApiErrorResponse::GenericNotFoundError {
-                    message: "Failed to invalidate the contract based routing keys".to_string(),
-                })
+                .change_context(errors::ApiErrorResponse::InternalServerError)
+                .attach_printable("Failed to invalidate the contract based routing keys")
         })
         .await
         .transpose()?;
diff --git a/crates/router/src/routes/app.rs b/crates/router/src/routes/app.rs
index f75fb9ad7f6..1d875d2ac27 100644
--- a/crates/router/src/routes/app.rs
+++ b/crates/router/src/routes/app.rs
@@ -2027,10 +2027,18 @@ impl Profile {
                             .route(web::post().to(routing::set_dynamic_routing_volume_split)),
                     )
                     .service(
-                        web::scope("/elimination").service(
-                            web::resource("/toggle")
-                                .route(web::post().to(routing::toggle_elimination_routing)),
-                        ),
+                        web::scope("/elimination")
+                            .service(
+                                web::resource("/toggle")
+                                    .route(web::post().to(routing::toggle_elimination_routing)),
+                            )
+                            .service(web::resource("config/{algorithm_id}").route(
+                                web::patch().to(|state, req, path, payload| {
+                                    routing::elimination_routing_update_configs(
+                                        state, req, path, payload,
+                                    )
+                                }),
+                            )),
                     )
                     .service(
                         web::scope("/contracts")
diff --git a/crates/router/src/routes/routing.rs b/crates/router/src/routes/routing.rs
index c01613615cb..3dcc947d133 100644
--- a/crates/router/src/routes/routing.rs
+++ b/crates/router/src/routes/routing.rs
@@ -1299,6 +1299,50 @@ pub async fn success_based_routing_update_configs(
     .await
 }
 
+#[cfg(all(feature = "olap", feature = "v1", feature = "dynamic_routing"))]
+#[instrument(skip_all)]
+pub async fn elimination_routing_update_configs(
+    state: web::Data<AppState>,
+    req: HttpRequest,
+    path: web::Path<routing_types::DynamicRoutingUpdateConfigQuery>,
+    json_payload: web::Json<routing_types::EliminationRoutingConfig>,
+) -> impl Responder {
+    let flow = Flow::UpdateDynamicRoutingConfigs;
+    let routing_payload_wrapper = routing_types::EliminationRoutingPayloadWrapper {
+        updated_config: json_payload.into_inner(),
+        algorithm_id: path.clone().algorithm_id,
+        profile_id: path.clone().profile_id,
+    };
+    Box::pin(oss_api::server_wrap(
+        flow,
+        state,
+        &req,
+        routing_payload_wrapper.clone(),
+        |state, _, wrapper: routing_types::EliminationRoutingPayloadWrapper, _| async {
+            Box::pin(routing::elimination_routing_update_configs(
+                state,
+                wrapper.updated_config,
+                wrapper.algorithm_id,
+                wrapper.profile_id,
+            ))
+            .await
+        },
+        auth::auth_type(
+            &auth::HeaderAuth(auth::ApiKeyAuth {
+                is_connected_allowed: false,
+                is_platform_allowed: false,
+            }),
+            &auth::JWTAuthProfileFromRoute {
+                profile_id: routing_payload_wrapper.profile_id,
+                required_permission: Permission::ProfileRoutingWrite,
+            },
+            req.headers(),
+        ),
+        api_locking::LockAction::NotApplicable,
+    ))
+    .await
+}
+
 #[cfg(all(feature = "olap", feature = "v1", feature = "dynamic_routing"))]
 #[instrument(skip_all)]
 pub async fn contract_based_routing_setup_config(